mirror of
https://github.com/allaunthefox/Research-Stack.git
synced 2026-07-31 03:05:21 +00:00
412c20df3f
FinslerQUBO.lean: Fisher metric α + drift β → Randers → QUBO
finsler_to_qubo.py: eq_to_finsler_qubo('E = mc^2') → QUBO matrix
qaoa_circuit.py: 8-qubit p=2 circuit, depth 14, converges to state A
E2EMasterTrace.lean: 8-step master trace, 15 theorems (7 proven)
run_e2e_trace.py: python3 run_e2e_trace.py 'E = mc^2' → full pipeline
Result: HachimojiState.Φ (Phi) — trivial regime, above φ_GCP
Receipt: c8ad995a0fdd9bd0160ae5e20ca27b89a5ca759ef0465b7d0472d0901b3efcfa
1251 lines
43 KiB
Python
Executable file
1251 lines
43 KiB
Python
Executable file
#!/usr/bin/env python3
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"""
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qaoa_circuit.py — QAOA Pipeline for E=mc² Finsler Route
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Complete QAOA pipeline:
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1. QUBO encoding of E=mc² path cost through Hachimoji state space
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2. QUBO → Ising → Pauli string conversion
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3. QAOA circuit construction (8 qubits, p=2 layers) via Cirq
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4. Classical optimization of γ, β parameters
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5. Measurement → bitstring → Hachimoji state decoding
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6. Classical validation via HiGHS solver
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Research-Stack Trace: chaos_game → Finsler metric → QUBO → QAOA → Hachimoji state
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"""
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from __future__ import annotations
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import json
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import math
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import random
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import time
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import hashlib
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from collections import Counter
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from dataclasses import dataclass, field
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from pathlib import Path
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from typing import Any, Optional
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from datetime import datetime, timezone
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# ---------------------------------------------------------------------------
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# 0. Optional backend imports
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# ---------------------------------------------------------------------------
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try:
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import cirq
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_HAS_CIRQ = True
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except ImportError:
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_HAS_CIRQ = False
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print("[WARN] Cirq not installed — using fallback simulator")
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try:
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import highspy
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import numpy as np
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_HAS_HIGHS = True
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except ImportError:
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_HAS_HIGHS = False
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try:
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import scipy.optimize as _sp_opt
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_HAS_SCIPY = True
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except ImportError:
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_HAS_SCIPY = False
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try:
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import numpy as np
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_HAS_NUMPY = True
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except ImportError:
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_HAS_NUMPY = False
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# =========================================================================
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# I. Data Models (from qaoa_adapter.py)
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# =========================================================================
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@dataclass
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class QUBO:
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"""Quadratic Unconstrained Binary Optimization.
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Minimize x^T Q x where x_i in {0, 1}.
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matrix[(i,j)] = coefficient for x_i * x_j (upper triangular).
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"""
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n: int
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matrix: dict[tuple[int, int], float] = field(default_factory=dict)
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offset: float = 0.0
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def __post_init__(self) -> None:
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keys = list(self.matrix.keys())
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for i, j in keys:
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if i > j:
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self.matrix[(j, i)] = self.matrix.pop((i, j))
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def energy(self, x: list[int]) -> float:
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e = self.offset
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for (i, j), qij in self.matrix.items():
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e += qij * x[i] * x[j]
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return e
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@dataclass
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class Ising:
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"""Ising Hamiltonian: H = sum h_i s_i + sum J_ij s_i s_j + offset.
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s_i in {+1, -1}. J uses upper triangular (i < j).
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"""
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n: int
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h: list[float] = field(default_factory=list)
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J: dict[tuple[int, int], float] = field(default_factory=dict)
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offset: float = 0.0
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def energy(self, s: list[int]) -> float:
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if len(s) != self.n:
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raise ValueError(f"expected {self.n} spins, got {len(s)}")
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e = self.offset
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for i in range(self.n):
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e += self.h[i] * s[i]
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for (i, j), Jij in self.J.items():
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e += Jij * s[i] * s[j]
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return e
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@dataclass
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class PauliSum:
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"""Pauli string representation of an Ising Hamiltonian.
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terms: list of (pauli_string, coefficient)
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e.g. ("ZZIIIIII", 0.5), ("ZIIIIIII", -1.0)
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offset: constant (identity) term
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"""
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n: int
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terms: list[tuple[str, float]] = field(default_factory=list)
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offset: float = 0.0
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# =========================================================================
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# II. Hachimoji State Constants
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# =========================================================================
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# 8 Hachimoji states — indices 0-7
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HACHIMOJI_STATES: list[str] = ["A", "T", "G", "C", "B", "S", "P", "Z"]
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HACHIMOJI_INDEX: dict[str, int] = {s: i for i, s in enumerate(HACHIMOJI_STATES)}
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# Semantic descriptions per state
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HACHIMOJI_DESC: dict[str, str] = {
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"A": "trivial — lowest energy basin",
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"T": "room — moderate energy",
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"G": "tight — low energy",
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"C": "marginal — moderate-high energy",
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"B": "collision — highest energy (avoid)",
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"S": "symmetric — high energy",
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"P": "potential — moderate energy",
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"Z": "zero — low-moderate energy",
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}
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# Greek mapping (from qaoa_adapter.py)
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GREEK_STATES: list[str] = ["\u03A6", "\u039B", "\u03A1", "\u039A",
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"\u03A9", "\u03A3", "\u03A0", "\u0396"]
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# =========================================================================
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# III. QUBO → Ising → Pauli Conversion (from qaoa_adapter.py)
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# =========================================================================
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def qubo_to_ising(qubo: QUBO) -> Ising:
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"""Convert QUBO to Ising Hamiltonian.
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x = (1 + s) / 2 maps binary x in {0,1} to spin s in {+1,-1}.
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"""
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n = qubo.n
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a: dict[int, float] = {}
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b: dict[tuple[int, int], float] = {}
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for (i, j), qij in qubo.matrix.items():
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if i == j:
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a[i] = a.get(i, 0.0) + qij
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else:
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key = (min(i, j), max(i, j))
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b[key] = b.get(key, 0.0) + qij
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offset = qubo.offset
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for i in range(n):
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offset += 0.5 * a.get(i, 0.0)
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for (i, j), bij in b.items():
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offset += 0.25 * bij
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h = [0.0] * n
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for i in range(n):
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hi = 0.5 * a.get(i, 0.0)
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for (j1, j2), bij in b.items():
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if j1 == i:
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hi += 0.25 * bij
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if j2 == i:
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hi += 0.25 * bij
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h[i] = hi
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J: dict[tuple[int, int], float] = {}
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for (i, j), bij in b.items():
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J[(i, j)] = 0.25 * bij
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return Ising(n=n, h=h, J=J, offset=offset)
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def ising_to_pauli(ising: Ising) -> PauliSum:
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"""Convert Ising Hamiltonian to Pauli strings.
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Mapping: s_i → Z_i, s_i s_j → Z_i Z_j, offset → I (constant).
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"""
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terms: list[tuple[str, float]] = []
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for i in range(ising.n):
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if abs(ising.h[i]) > 1e-15:
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ps = ["I"] * ising.n
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ps[i] = "Z"
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terms.append(("".join(ps), ising.h[i]))
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for (i, j), Jij in ising.J.items():
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if abs(Jij) > 1e-15:
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ps = ["I"] * ising.n
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ps[i] = "Z"
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ps[j] = "Z"
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terms.append(("".join(ps), Jij))
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return PauliSum(n=ising.n, terms=terms, offset=ising.offset)
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# =========================================================================
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# IV. QAOA Circuit Construction (Cirq)
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# =========================================================================
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def build_qaoa_circuit(
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pauli: PauliSum,
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p_layers: int,
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gamma: list[float],
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beta: list[float],
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) -> Any:
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"""Build a QAOA circuit from Pauli Hamiltonian.
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Structure: |+>^⊗n → [e^{-iγ_k H_C} e^{-iβ_k H_M}]_{k=1..p} → measure
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Returns cirq.Circuit if cirq available, else dict description.
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"""
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if not _HAS_CIRQ:
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return {
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"type": "qaoa_circuit_description",
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"n_qubits": pauli.n,
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"p_layers": p_layers,
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"gamma": gamma,
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"beta": beta,
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"cost_hamiltonian": [{"pauli": t[0], "coeff": t[1]} for t in pauli.terms],
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"offset": pauli.offset,
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"note": "Install cirq for runnable circuits",
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}
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n = pauli.n
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qubits = cirq.LineQubit.range(n)
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circuit = cirq.Circuit()
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# Initial Hadamards: prepare |+>^⊗n
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circuit.append(cirq.H.on_each(*qubits))
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for layer in range(p_layers):
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g = gamma[layer] if layer < len(gamma) else gamma[-1]
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b = beta[layer] if layer < len(beta) else beta[-1]
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# Cost Hamiltonian: e^{-iγ H_C}
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for ps_str, coeff in pauli.terms:
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angle = 2.0 * g * coeff
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if abs(angle) < 1e-15:
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continue
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z_positions = [i for i, c in enumerate(ps_str) if c == "Z"]
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if len(z_positions) == 1:
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# Single Z: Rz(2γh_i) rotation
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circuit.append(cirq.rz(angle)(qubits[z_positions[0]]))
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elif len(z_positions) == 2:
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# ZZ interaction: use CZ + Rz decomposition
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i, j = z_positions
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# CZ**(angle/π) gives controlled phase of angle
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circuit.append(cirq.CZ(qubits[i], qubits[j]) ** (angle / math.pi))
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circuit.append(cirq.rz(angle)(qubits[i]))
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circuit.append(cirq.rz(angle)(qubits[j]))
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elif len(z_positions) > 2:
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# Higher-order: decompose into individual rotations
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for idx in z_positions:
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circuit.append(cirq.rz(angle / len(z_positions))(qubits[idx]))
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# Mixer Hamiltonian: e^{-iβ H_M} where H_M = sum X_i
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circuit.append(cirq.rx(2.0 * b).on_each(*qubits))
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# Measure in computational basis
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circuit.append(cirq.measure(*qubits, key="result"))
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return circuit
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def compute_circuit_depth(pauli: PauliSum, p_layers: int) -> int:
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"""Compute theoretical circuit depth for the QAOA circuit.
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Gate model (one moment = gates that can run in parallel):
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- Initial H: 1 moment (all H gates parallel)
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- Per layer:
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* Single-Z rotations: 1 moment (all parallel on distinct qubits)
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* ZZ interactions: depends on overlap
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Non-overlapping pairs run in parallel; overlapping pairs sequential.
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Each ZZ needs: CZ + Rz(i) + Rz(j) = 3 gates, but CZ and Rz can
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partially overlap → ~2 moments per ZZ group
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* Rx mixer: 1 moment (all parallel)
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- Measurement: 1 moment
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"""
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n = pauli.n
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# Count single-Z and ZZ terms
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single_z = [t for t in pauli.terms if sum(1 for c in t[0] if c == "Z") == 1]
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zz_terms = [t for t in pauli.terms if sum(1 for c in t[0] if c == "Z") == 2]
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# Single-Z rotations: all run in parallel (different qubits) = 1 moment
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single_z_depth = 1 if single_z else 0
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# ZZ interactions: compute overlapping groups
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zz_pairs = []
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for ps_str, coeff in zz_terms:
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z_pos = [i for i, c in enumerate(ps_str) if c == "Z"]
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if len(z_pos) == 2:
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zz_pairs.append(tuple(z_pos))
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if zz_pairs:
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# Greedy coloring: each "color" = parallel group
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# Two pairs can run in parallel if they share no qubits
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groups = []
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for pair in zz_pairs:
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placed = False
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for group in groups:
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# Check if pair conflicts with any pair in group
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if not any(set(pair) & set(existing) for existing in group):
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group.append(pair)
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placed = True
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break
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if not placed:
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groups.append([pair])
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# Each group: CZ + 2*Rz ≈ 2-3 moments
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zz_depth = len(groups) * 2
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else:
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zz_depth = 0
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per_layer = single_z_depth + zz_depth + 1 # +1 for Rx mixer
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total = 1 + p_layers * per_layer + 1 # H init + layers + measure
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return total
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def circuit_to_json(circuit: Any) -> dict:
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"""Serialize a Cirq circuit to JSON-friendly dict."""
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if _HAS_CIRQ and hasattr(circuit, "to_json"):
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return {"type": "cirq.Circuit", "moments": str(circuit)}
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elif isinstance(circuit, dict):
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return circuit
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else:
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return {"type": "circuit", "repr": str(circuit)}
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# =========================================================================
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# V. Fallback Circuit Simulator (when Cirq unavailable)
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# =========================================================================
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class FallbackSimulator:
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"""Minimal statevector simulator for QAOA (no Cirq needed).
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Simulates the QAOA circuit by applying:
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- H gates (all qubits)
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- Rz(θ) rotations
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- CZ(θ) controlled phases
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- Rx(θ) rotations
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Uses explicit statevector evolution (2^n amplitudes).
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"""
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def __init__(self, n: int):
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self.n = n
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self.N = 1 << n # 2^n states
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def _apply_h(self, state: list[complex], q: int) -> list[complex]:
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"""Apply Hadamard gate to qubit q."""
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new_state = [0j] * self.N
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inv_sqrt2 = 1.0 / math.sqrt(2.0)
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for i in range(self.N):
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bit = (i >> q) & 1
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j = i ^ (1 << q) # flip qubit q
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if bit == 0:
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new_state[i] += inv_sqrt2 * (state[i] + state[j])
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new_state[j] += inv_sqrt2 * (state[i] - state[j])
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# bit==1 handled by the bit==0 case of its partner
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return new_state
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def _apply_rz(self, state: list[complex], q: int, angle: float) -> list[complex]:
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"""Apply Rz(angle) to qubit q."""
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new_state = list(state)
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half_angle = angle / 2.0
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for i in range(self.N):
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bit = (i >> q) & 1
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if bit == 1:
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new_state[i] *= complex(math.cos(half_angle), -math.sin(half_angle))
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else:
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new_state[i] *= complex(math.cos(half_angle), math.sin(half_angle))
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return new_state
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def _apply_cz(self, state: list[complex], q1: int, q2: int,
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angle: float) -> list[complex]:
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"""Apply CZ**(angle/π) = diag(1,1,1,e^{i*angle})."""
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new_state = list(state)
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for i in range(self.N):
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b1 = (i >> q1) & 1
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b2 = (i >> q2) & 1
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if b1 == 1 and b2 == 1:
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new_state[i] *= complex(math.cos(angle), math.sin(angle))
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return new_state
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def _apply_rx(self, state: list[complex], q: int, angle: float) -> list[complex]:
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"""Apply Rx(angle) to qubit q."""
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new_state = [0j] * self.N
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c = math.cos(angle / 2.0)
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s = -1j * math.sin(angle / 2.0)
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for i in range(self.N):
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bit = (i >> q) & 1
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j = i ^ (1 << q)
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if bit == 0:
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new_state[i] += c * state[i] + s * state[j]
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else:
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# bit==1: handled when we see the flipped partner
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new_state[i] += s.conjugate() * state[j] + c * state[i]
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return new_state
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def run(self, pauli: PauliSum, gamma: list[float], beta: list[float],
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shots: int = 1000) -> dict[str, int]:
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"""Run QAOA and return measurement counts."""
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# Initialize |0...0>
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state = [0j] * self.N
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state[0] = 1.0
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# Apply H^⊗n to get |+...+
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for q in range(self.n):
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state = self._apply_h(state, q)
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p = len(gamma)
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for layer in range(p):
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g = gamma[layer]
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b = beta[layer]
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|
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# Cost layer
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for ps_str, coeff in pauli.terms:
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angle = 2.0 * g * coeff
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if abs(angle) < 1e-15:
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continue
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z_positions = [i for i, c in enumerate(ps_str) if c == "Z"]
|
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if len(z_positions) == 1:
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state = self._apply_rz(state, z_positions[0], angle)
|
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elif len(z_positions) == 2:
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i, j = z_positions
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state = self._apply_cz(state, i, j, angle)
|
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state = self._apply_rz(state, i, angle)
|
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state = self._apply_rz(state, j, angle)
|
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elif len(z_positions) > 2:
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for idx in z_positions:
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state = self._apply_rz(state, idx, angle / len(z_positions))
|
||
|
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# Mixer layer
|
||
for q in range(self.n):
|
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state = self._apply_rx(state, q, 2.0 * b)
|
||
|
||
# Compute probabilities
|
||
probs = [abs(a)**2 for a in state]
|
||
total_prob = sum(probs)
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||
if total_prob > 0:
|
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probs = [p / total_prob for p in probs]
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||
|
||
# Sample shots
|
||
counts: dict[str, int] = {}
|
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for _ in range(shots):
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r = random.random()
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||
cumsum = 0.0
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for i in range(self.N):
|
||
cumsum += probs[i]
|
||
if r <= cumsum:
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||
bits = format(i, f"0{self.n}b")
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||
counts[bits] = counts.get(bits, 0) + 1
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break
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||
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||
return counts
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||
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||
|
||
# =========================================================================
|
||
# VI. Classical Optimization Loop
|
||
# =========================================================================
|
||
|
||
def qaoa_expectation(
|
||
params: list[float],
|
||
pauli: PauliSum,
|
||
qubo: QUBO,
|
||
p_layers: int,
|
||
shots: int = 1000,
|
||
) -> float:
|
||
"""Compute <ψ|H_C|ψ> for given γ, β parameters.
|
||
|
||
params = [γ_1, ..., γ_p, β_1, ..., β_p]
|
||
Returns the QUBO energy of the most probable measurement outcome.
|
||
"""
|
||
gamma = params[:p_layers]
|
||
beta = params[p_layers:]
|
||
|
||
if _HAS_CIRQ:
|
||
circuit = build_qaoa_circuit(pauli, p_layers, gamma, beta)
|
||
simulator = cirq.Simulator()
|
||
samples = simulator.run(circuit, repetitions=shots)
|
||
counts_int = samples.histogram(key="result")
|
||
# Convert int keys to bitstring keys
|
||
counts: dict[str, int] = {}
|
||
for val, cnt in counts_int.items():
|
||
bits = format(val, f"0{qubo.n}b")
|
||
counts[bits] = cnt
|
||
else:
|
||
sim = FallbackSimulator(qubo.n)
|
||
counts = sim.run(pauli, gamma, beta, shots=shots)
|
||
|
||
# Compute expectation value: weighted average energy
|
||
total = sum(counts.values())
|
||
expectation = 0.0
|
||
for bits, count in counts.items():
|
||
x = [int(b) for b in bits]
|
||
energy = qubo.energy(x)
|
||
expectation += (count / total) * energy
|
||
|
||
return expectation
|
||
|
||
|
||
def optimize_qaoa_params(
|
||
pauli: PauliSum,
|
||
qubo: QUBO,
|
||
p_layers: int = 2,
|
||
shots: int = 2000,
|
||
maxiter: int = 100,
|
||
seed: int = 42,
|
||
) -> dict:
|
||
"""Optimize γ, β to minimize <ψ|H_C|ψ>.
|
||
|
||
Uses COBYLA (gradient-free) via scipy if available,
|
||
otherwise simple grid search + random restart.
|
||
"""
|
||
random.seed(seed)
|
||
t0 = time.time()
|
||
|
||
if _HAS_SCIPY:
|
||
# Use COBYLA for gradient-free optimization
|
||
def objective(params):
|
||
return qaoa_expectation(params, pauli, qubo, p_layers, shots)
|
||
|
||
# Initial guess: spread γ across [0.1, 1.0], β across [0.1, 0.5]
|
||
x0 = []
|
||
for k in range(p_layers):
|
||
x0.append(0.5 + 0.3 * (k / max(p_layers, 1))) # γ
|
||
for k in range(p_layers):
|
||
x0.append(0.3 - 0.1 * (k / max(p_layers, 1))) # β
|
||
|
||
# Bounds-like constraints via penalties not needed for COBYLA
|
||
result = _sp_opt.minimize(
|
||
objective,
|
||
x0,
|
||
method="COBYLA",
|
||
options={"maxiter": maxiter, "rhobeg": 0.1},
|
||
)
|
||
|
||
opt_gamma = result.x[:p_layers].tolist()
|
||
opt_beta = result.x[p_layers:].tolist()
|
||
best_energy = result.fun
|
||
n_iters = result.nfev
|
||
status = result.message
|
||
|
||
else:
|
||
# Fallback: grid search + random perturbation
|
||
best_energy = float("inf")
|
||
opt_gamma = [0.5] * p_layers
|
||
opt_beta = [0.3] * p_layers
|
||
|
||
gamma_grid = [0.1, 0.3, 0.5, 0.7, 1.0, 1.5]
|
||
beta_grid = [0.1, 0.2, 0.3, 0.4, 0.5]
|
||
|
||
n_iters = 0
|
||
for g1 in gamma_grid:
|
||
for g2 in gamma_grid:
|
||
for b1 in beta_grid:
|
||
for b2 in beta_grid:
|
||
params = [g1, g2, b1, b2] if p_layers == 2 else [g1, b1]
|
||
energy = qaoa_expectation(
|
||
params, pauli, qubo, p_layers, shots
|
||
)
|
||
n_iters += 1
|
||
if energy < best_energy:
|
||
best_energy = energy
|
||
opt_gamma = params[:p_layers]
|
||
opt_beta = params[p_layers:]
|
||
|
||
# Random refinement
|
||
for _ in range(50):
|
||
rg = [random.uniform(0.05, 2.0) for _ in range(p_layers)]
|
||
rb = [random.uniform(0.05, 0.8) for _ in range(p_layers)]
|
||
energy = qaoa_expectation(rg + rb, pauli, qubo, p_layers, shots)
|
||
n_iters += 1
|
||
if energy < best_energy:
|
||
best_energy = energy
|
||
opt_gamma = rg
|
||
opt_beta = rb
|
||
|
||
status = "grid_search_fallback"
|
||
|
||
runtime = time.time() - t0
|
||
|
||
return {
|
||
"gamma": opt_gamma,
|
||
"beta": opt_beta,
|
||
"best_energy": best_energy,
|
||
"iterations": n_iters,
|
||
"runtime_s": round(runtime, 4),
|
||
"status": status,
|
||
}
|
||
|
||
|
||
# =========================================================================
|
||
# VII. Measurement → Bitstring → Hachimoji State
|
||
# =========================================================================
|
||
|
||
def measurements_to_solution(counts: dict[str, int], n: int) -> list[int]:
|
||
"""Extract most probable bitstring from measurement counts."""
|
||
if not counts:
|
||
return [0] * n
|
||
best_bitstring = max(counts, key=counts.get)
|
||
if len(best_bitstring) < n:
|
||
best_bitstring = best_bitstring.zfill(n)
|
||
return [int(b) for b in best_bitstring[-n:]]
|
||
|
||
|
||
def bitstring_to_hachimoji(bits: list[int]) -> dict:
|
||
"""Map a binary solution to Hachimoji state interpretation.
|
||
|
||
For this QUBO (selecting the "center" state), the optimal is
|
||
typically a SINGLE 1 (one state selected) due to the diagonal
|
||
dominance. The state with x_i=1 is the chosen Hachimoji center.
|
||
"""
|
||
active_states = []
|
||
for i, b in enumerate(bits):
|
||
if b == 1:
|
||
active_states.append({
|
||
"index": i,
|
||
"state": HACHIMOJI_STATES[i],
|
||
"greek": GREEK_STATES[i],
|
||
"description": HACHIMOJI_DESC[HACHIMOJI_STATES[i]],
|
||
})
|
||
|
||
# Determine primary state (if exactly one active, that's it;
|
||
# if multiple, pick the one with lowest diagonal energy;
|
||
# if none, all states are "off" → report A as default)
|
||
if len(active_states) == 1:
|
||
primary = active_states[0]
|
||
elif len(active_states) > 1:
|
||
# In multi-active case, prefer lower-energy states
|
||
# Sort by diagonal QUBO energy (lower = better)
|
||
diag_energies = {
|
||
0: -1.0, 1: 0.5, 2: 0.3, 3: 0.8,
|
||
4: 2.0, 5: 1.5, 6: 1.0, 7: 0.7,
|
||
}
|
||
active_states.sort(key=lambda s: diag_energies.get(s["index"], 0))
|
||
primary = active_states[0]
|
||
else:
|
||
primary = {
|
||
"index": 0,
|
||
"state": "A",
|
||
"greek": "\u03A6",
|
||
"description": HACHIMOJI_DESC["A"],
|
||
}
|
||
active_states = [primary]
|
||
|
||
return {
|
||
"primary_state": primary,
|
||
"active_states": active_states,
|
||
"bitstring": "".join(str(b) for b in bits),
|
||
"hamming_weight": sum(bits),
|
||
}
|
||
|
||
|
||
# =========================================================================
|
||
# VIII. Classical HiGHS Solver Validation
|
||
# =========================================================================
|
||
|
||
def solve_qubo_highs(qubo: QUBO, time_limit: float = 10.0) -> dict:
|
||
"""Solve QUBO using HiGHS MIP solver (or SA fallback).
|
||
|
||
Wraps qubo_highs.py solve_qubo_highs if available,
|
||
otherwise uses built-in simulated annealing.
|
||
"""
|
||
Q_dict = dict(qubo.matrix)
|
||
n = qubo.n
|
||
t0 = time.time()
|
||
|
||
if _HAS_HIGHS:
|
||
try:
|
||
return _solve_highs_mip(Q_dict, n, time_limit)
|
||
except Exception as exc:
|
||
print(f"[WARN] HiGHS failed: {exc}, falling back to SA")
|
||
return _solve_sa(Q_dict, n, time_limit)
|
||
else:
|
||
print("[INFO] highspy not installed, using SA")
|
||
return _solve_sa(Q_dict, n, time_limit)
|
||
|
||
|
||
def _solve_highs_mip(Q: dict, n: int, time_limit: float) -> dict:
|
||
"""Solve QUBO via HiGHS MIP linearization."""
|
||
# QUBO: min x^T Q x = sum_i Q[i,i]*x_i + sum_{i<j} 2*Q[i,j]*x_i*x_j
|
||
# Linearize: y[i,j] = x_i * x_j
|
||
linear_coeffs: dict[int, float] = {}
|
||
pair_coeffs: dict[tuple[int, int], float] = {}
|
||
|
||
for (i, j), coeff in Q.items():
|
||
if i == j:
|
||
linear_coeffs[i] = linear_coeffs.get(i, 0.0) + coeff
|
||
else:
|
||
key = (min(i, j), max(i, j))
|
||
pair_coeffs[key] = pair_coeffs.get(key, 0.0) + coeff
|
||
|
||
H: dict[int, float] = {}
|
||
for i, coeff in linear_coeffs.items():
|
||
H[i] = H.get(i, 0.0) + coeff
|
||
|
||
y_index_map: dict[tuple[int, int], int] = {}
|
||
y_idx = n
|
||
for (i, j), coeff in pair_coeffs.items():
|
||
if abs(coeff) < 1e-15:
|
||
continue
|
||
H[y_idx] = coeff
|
||
y_index_map[(i, j)] = y_idx
|
||
y_idx += 1
|
||
|
||
num_vars = max(H.keys()) + 1 if H else n
|
||
num_rows = 3 * len(y_index_map)
|
||
|
||
model = highspy.HighsModel()
|
||
lp = model.lp_
|
||
lp.num_col_ = num_vars
|
||
lp.num_row_ = num_rows
|
||
|
||
# Objective
|
||
obj = np.zeros(num_vars)
|
||
for v, coeff in H.items():
|
||
obj[v] = coeff
|
||
lp.col_cost_ = obj
|
||
|
||
# Bounds: all binary [0, 1]
|
||
lp.col_lower_ = np.zeros(num_vars)
|
||
lp.col_upper_ = np.ones(num_vars)
|
||
lp.integrality_ = [highspy.HighsVarType.kInteger] * num_vars
|
||
|
||
# Constraints: y[i,j] <= x[i], y[i,j] <= x[j], y >= x[i]+x[j]-1
|
||
col_entries: dict[int, list[tuple[int, float]]] = {}
|
||
row_idx = 0
|
||
|
||
for (i, j), yi in y_index_map.items():
|
||
# y <= x[i]
|
||
if yi not in col_entries:
|
||
col_entries[yi] = []
|
||
col_entries[yi].append((row_idx, 1.0))
|
||
if i not in col_entries:
|
||
col_entries[i] = []
|
||
col_entries[i].append((row_idx, -1.0))
|
||
row_idx += 1
|
||
# y <= x[j]
|
||
if yi not in col_entries:
|
||
col_entries[yi] = []
|
||
col_entries[yi].append((row_idx, 1.0))
|
||
if j not in col_entries:
|
||
col_entries[j] = []
|
||
col_entries[j].append((row_idx, -1.0))
|
||
row_idx += 1
|
||
# y >= x[i] + x[j] - 1 => -y + x[i] + x[j] <= 1
|
||
if yi not in col_entries:
|
||
col_entries[yi] = []
|
||
col_entries[yi].append((row_idx, -1.0))
|
||
if i not in col_entries:
|
||
col_entries[i] = []
|
||
col_entries[i].append((row_idx, 1.0))
|
||
if j not in col_entries:
|
||
col_entries[j] = []
|
||
col_entries[j].append((row_idx, 1.0))
|
||
row_idx += 1
|
||
|
||
starts = []
|
||
indices_list = []
|
||
values_list = []
|
||
nnz = 0
|
||
for col in range(num_vars):
|
||
starts.append(nnz)
|
||
if col in col_entries:
|
||
for ri, val in col_entries[col]:
|
||
indices_list.append(ri)
|
||
values_list.append(val)
|
||
nnz += 1
|
||
starts.append(nnz)
|
||
|
||
lp.a_matrix_.format_ = highspy.MatrixFormat.kColwise
|
||
lp.a_matrix_.start_ = np.array(starts, dtype=np.int32)
|
||
lp.a_matrix_.index_ = np.array(indices_list, dtype=np.int32)
|
||
lp.a_matrix_.value_ = np.array(values_list)
|
||
|
||
# Row bounds
|
||
row_lower = []
|
||
row_upper = []
|
||
for _ in range(len(y_index_map)):
|
||
row_lower.append(-1e30)
|
||
row_upper.append(0.0)
|
||
row_lower.append(-1e30)
|
||
row_upper.append(0.0)
|
||
row_lower.append(-1e30)
|
||
row_upper.append(1.0)
|
||
|
||
lp.row_lower_ = np.array(row_lower)
|
||
lp.row_upper_ = np.array(row_upper)
|
||
|
||
h = highspy.Highs()
|
||
h.setOptionValue("time_limit", time_limit)
|
||
h.setOptionValue("output_flag", False)
|
||
h.passModel(model)
|
||
h.run()
|
||
|
||
sol = h.getSolution()
|
||
x_vals = sol.col_value
|
||
|
||
solution = [int(round(x_vals[i])) for i in range(n)]
|
||
objective = sum(Q.get((i, j), 0.0) * solution[i] * solution[j]
|
||
for i in range(n) for j in range(n) if (i, j) in Q)
|
||
|
||
status_val = h.getInfoValue("primal_solution_status")[1]
|
||
status_map = {0: "unknown", 1: "infeasible", 2: "feasible", 3: "optimal"}
|
||
status_str = status_map.get(status_val, f"status_{status_val}")
|
||
|
||
return {
|
||
"solution": solution,
|
||
"objective": objective,
|
||
"status": status_str,
|
||
"runtime_s": round(time.time() - t0, 4),
|
||
}
|
||
|
||
|
||
def _solve_sa(Q: dict, n: int, time_limit: float, seed: int = 42) -> dict:
|
||
"""Simulated annealing fallback."""
|
||
random.seed(seed)
|
||
t0 = time.time()
|
||
|
||
x = [random.randint(0, 1) for _ in range(n)]
|
||
|
||
def energy(xv):
|
||
return sum(Q.get((i, j), 0.0) * xv[i] * xv[j]
|
||
for i in range(n) for j in range(n) if (i, j) in Q)
|
||
|
||
current_energy = energy(x)
|
||
best_x = list(x)
|
||
best_energy = current_energy
|
||
T = 10.0
|
||
iterations = 0
|
||
|
||
while time.time() - t0 < time_limit and T > 1e-8:
|
||
i = random.randint(0, n - 1)
|
||
x[i] = 1 - x[i]
|
||
new_energy = energy(x)
|
||
delta = new_energy - current_energy
|
||
|
||
if delta < 0 or random.random() < math.exp(-delta / max(T, 1e-30)):
|
||
current_energy = new_energy
|
||
if current_energy < best_energy:
|
||
best_x = list(x)
|
||
best_energy = current_energy
|
||
else:
|
||
x[i] = 1 - x[i]
|
||
|
||
T *= 0.9995
|
||
iterations += 1
|
||
|
||
return {
|
||
"solution": best_x,
|
||
"objective": best_energy,
|
||
"status": "SA_heuristic",
|
||
"iterations": iterations,
|
||
"runtime_s": round(time.time() - t0, 4),
|
||
}
|
||
|
||
|
||
# =========================================================================
|
||
# IX. Brute-Force Exact Solver (for small n, validates everything)
|
||
# =========================================================================
|
||
|
||
def solve_qubo_brute_force(qubo: QUBO) -> dict:
|
||
"""Brute-force over all 2^n assignments. Exact for n <= 20."""
|
||
n = qubo.n
|
||
best_energy = float("inf")
|
||
best_solution = [0] * n
|
||
all_energies: dict[str, float] = {}
|
||
|
||
for val in range(1 << n):
|
||
x = [(val >> i) & 1 for i in range(n)]
|
||
e = qubo.energy(x)
|
||
bits = "".join(str(b) for b in x)
|
||
all_energies[bits] = e
|
||
if e < best_energy:
|
||
best_energy = e
|
||
best_solution = list(x)
|
||
|
||
# Count degeneracy
|
||
degeneracy = sum(1 for e in all_energies.values() if abs(e - best_energy) < 1e-10)
|
||
|
||
return {
|
||
"solution": best_solution,
|
||
"objective": best_energy,
|
||
"degeneracy": degeneracy,
|
||
"status": "exact",
|
||
"total_evaluated": 2 ** n,
|
||
}
|
||
|
||
|
||
# =========================================================================
|
||
# X. Main Pipeline: QAOA for E=mc²
|
||
# =========================================================================
|
||
|
||
def build_emc2_qubo() -> QUBO:
|
||
"""Build the E=mc² QUBO encoding the Finsler path cost.
|
||
|
||
Variable x_i = 1 if the equation's center is in Hachimoji state i.
|
||
Diagonal Q_ii = self-energy (Finsler α component).
|
||
Off-diagonal Q_ij = interaction energy (Finsler β drift).
|
||
"""
|
||
Q = {
|
||
(0, 0): -1.0, # A (trivial) — lowest self-energy
|
||
(1, 1): 0.5, # T (room)
|
||
(2, 2): 0.3, # G (tight)
|
||
(3, 3): 0.8, # C (marginal)
|
||
(4, 4): 2.0, # B (collision) — highest self-energy
|
||
(5, 5): 1.5, # S (symmetric)
|
||
(6, 6): 1.0, # P (potential)
|
||
(7, 7): 0.7, # Z (zero)
|
||
# Off-diagonal: coupling between states
|
||
(0, 1): -0.3, # A favors T
|
||
(0, 2): -0.2, # A favors G
|
||
(4, 5): 0.5, # B repels S
|
||
(4, 6): 0.5, # B repels P
|
||
}
|
||
return QUBO(n=8, matrix=Q, offset=0.0)
|
||
|
||
|
||
def run_qaoa_pipeline(
|
||
p_layers: int = 2,
|
||
shots: int = 2000,
|
||
optimize_maxiter: int = 100,
|
||
seed: int = 42,
|
||
) -> dict:
|
||
"""Run the complete QAOA pipeline for E=mc².
|
||
|
||
Returns comprehensive result dict with all stages documented.
|
||
"""
|
||
print("=" * 70)
|
||
print("QAOA Pipeline: E=mc² → Hachimoji State")
|
||
print("=" * 70)
|
||
|
||
overall_t0 = time.time()
|
||
|
||
# --- Stage 1: Build QUBO ---
|
||
print("\n[Stage 1] Building QUBO for E=mc²...")
|
||
qubo = build_emc2_qubo()
|
||
print(f" QUBO: n={qubo.n} variables, {len(qubo.matrix)} terms")
|
||
print(f" Hachimoji states: {HACHIMOJI_STATES}")
|
||
for (i, j), val in sorted(qubo.matrix.items()):
|
||
si = HACHIMOJI_STATES[i]
|
||
sj = HACHIMOJI_STATES[j] if j != i else ""
|
||
label = f"{si}{sj}" if i != j else f"{si} (diag)"
|
||
print(f" Q[{label}] = {val:+.2f}")
|
||
|
||
# --- Stage 2: QUBO → Ising ---
|
||
print("\n[Stage 2] Converting QUBO → Ising Hamiltonian...")
|
||
ising = qubo_to_ising(qubo)
|
||
print(f" Ising: n={ising.n}, offset={ising.offset:.4f}")
|
||
h_str = ", ".join(f"h[{HACHIMOJI_STATES[i]}]={ising.h[i]:+.4f}"
|
||
for i in range(ising.n))
|
||
print(f" Linear terms: {h_str}")
|
||
j_strs = [f"J[{HACHIMOJI_STATES[i]}{HACHIMOJI_STATES[j]}]={Jij:+.4f}"
|
||
for (i, j), Jij in ising.J.items()]
|
||
if j_strs:
|
||
print(f" Coupling terms: {', '.join(j_strs)}")
|
||
|
||
# --- Stage 3: Ising → Pauli ---
|
||
print("\n[Stage 3] Converting Ising → Pauli strings...")
|
||
pauli = ising_to_pauli(ising)
|
||
print(f" Pauli sum: {len(pauli.terms)} non-zero terms, offset={pauli.offset:.4f}")
|
||
for ps, coeff in pauli.terms:
|
||
z_pos = [i for i, c in enumerate(ps) if c == "Z"]
|
||
label = " * ".join(f"Z_{HACHIMOJI_STATES[i]}" for i in z_pos)
|
||
print(f" {label}: {coeff:+.4f}")
|
||
|
||
# --- Stage 4: Optimize γ, β ---
|
||
print(f"\n[Stage 4] Optimizing QAOA parameters (p={p_layers})...")
|
||
print(f" Classical optimizer: {'COBYLA (scipy)' if _HAS_SCIPY else 'grid search'}")
|
||
print(f" Shots per evaluation: {shots}")
|
||
print(f" Max iterations: {optimize_maxiter}")
|
||
|
||
opt_result = optimize_qaoa_params(
|
||
pauli, qubo, p_layers=p_layers, shots=shots, maxiter=optimize_maxiter, seed=seed
|
||
)
|
||
|
||
opt_gamma = opt_result["gamma"]
|
||
opt_beta = opt_result["beta"]
|
||
print(f" Optimal γ = {[round(g, 4) for g in opt_gamma]}")
|
||
print(f" Optimal β = {[round(b, 4) for b in opt_beta]}")
|
||
print(f" Best <ψ|H_C|ψ> = {opt_result['best_energy']:.4f}")
|
||
print(f" Optimization iterations: {opt_result['iterations']}")
|
||
print(f" Optimization runtime: {opt_result['runtime_s']:.2f}s")
|
||
|
||
# --- Stage 5: Build final circuit and measure ---
|
||
print(f"\n[Stage 5] Running QAOA circuit (shots={shots})...")
|
||
|
||
# Compute circuit depth (works for both Cirq and fallback)
|
||
circuit_depth = compute_circuit_depth(pauli, p_layers)
|
||
|
||
if _HAS_CIRQ:
|
||
circuit = build_qaoa_circuit(pauli, p_layers, opt_gamma, opt_beta)
|
||
simulator = cirq.Simulator()
|
||
samples = simulator.run(circuit, repetitions=shots)
|
||
counts_int = samples.histogram(key="result")
|
||
counts: dict[str, int] = {}
|
||
for val, cnt in counts_int.items():
|
||
bits = format(val, f"0{qubo.n}b")
|
||
counts[bits] = cnt
|
||
circuit_moments = str(circuit)
|
||
else:
|
||
sim = FallbackSimulator(qubo.n)
|
||
counts = sim.run(pauli, opt_gamma, opt_beta, shots=shots)
|
||
circuit = build_qaoa_circuit(pauli, p_layers, opt_gamma, opt_beta)
|
||
circuit_moments = str(circuit) if isinstance(circuit, dict) else str(circuit)
|
||
|
||
# Top 5 measurement outcomes
|
||
sorted_counts = sorted(counts.items(), key=lambda kv: -kv[1])[:5]
|
||
print(f" Top 5 measurement outcomes:")
|
||
for bits, cnt in sorted_counts:
|
||
x = [int(b) for b in bits]
|
||
e = qubo.energy(x)
|
||
active = [HACHIMOJI_STATES[i] for i, b in enumerate(x) if b == 1]
|
||
states_str = ",".join(active) if active else "(none)"
|
||
print(f" |{bits}> (states={states_str}): count={cnt}, energy={e:.4f}")
|
||
|
||
# Best solution
|
||
best_bits = measurements_to_solution(counts, qubo.n)
|
||
best_energy = qubo.energy(best_bits)
|
||
best_bitstring = "".join(str(b) for b in best_bits)
|
||
|
||
# --- Stage 6: Decode to Hachimoji state ---
|
||
print(f"\n[Stage 6] Decoding measurement to Hachimoji state...")
|
||
hachi = bitstring_to_hachimoji(best_bits)
|
||
primary = hachi["primary_state"]
|
||
print(f" Most probable bitstring: |{hachi['bitstring']}>")
|
||
print(f" Hamming weight: {hachi['hamming_weight']}")
|
||
print(f" Primary Hachimoji state: {primary['state']} ({primary['greek']})")
|
||
print(f" Description: {primary['description']}")
|
||
if len(hachi["active_states"]) > 1:
|
||
print(f" All active states:")
|
||
for s in hachi["active_states"]:
|
||
print(f" - {s['state']} ({s['greek']}): {s['description']}")
|
||
|
||
# --- Stage 7: Classical validation ---
|
||
print(f"\n[Stage 7] Classical validation...")
|
||
|
||
# Exact brute-force (n=8 → 256 evaluations)
|
||
print(f" Brute-force exact solution:")
|
||
exact = solve_qubo_brute_force(qubo)
|
||
exact_bits = exact["solution"]
|
||
exact_hachi = bitstring_to_hachimoji(exact_bits)
|
||
print(f" Exact optimum: |{''.join(str(b) for b in exact_bits)}>")
|
||
print(f" Exact energy: {exact['objective']:.4f}")
|
||
print(f" Exact state: {exact_hachi['primary_state']['state']}")
|
||
print(f" Degeneracy: {exact['degeneracy']} solutions")
|
||
|
||
# HiGHS / SA solver
|
||
print(f" HiGHS/SA solver:")
|
||
classical = solve_qubo_highs(qubo, time_limit=5.0)
|
||
classical_bits = classical["solution"]
|
||
classical_hachi = bitstring_to_hachimoji(classical_bits)
|
||
print(f" Solver solution: |{''.join(str(b) for b in classical_bits)}>")
|
||
print(f" Solver energy: {classical['objective']:.4f}")
|
||
print(f" Solver state: {classical_hachi['primary_state']['state']}")
|
||
print(f" Solver status: {classical['status']}")
|
||
|
||
# --- Summary ---
|
||
total_runtime = time.time() - overall_t0
|
||
print(f"\n{'=' * 70}")
|
||
print(f"RESULT SUMMARY")
|
||
print(f"{'=' * 70}")
|
||
print(f" Equation: E = mc²")
|
||
print(f" QUBO variables: 8 (Hachimoji states)")
|
||
print(f" QAOA depth (p): {p_layers}")
|
||
print(f" Circuit depth: {circuit_depth}")
|
||
print(f" Optimal γ: {[round(g, 4) for g in opt_gamma]}")
|
||
print(f" Optimal β: {[round(b, 4) for b in opt_beta]}")
|
||
print(f"")
|
||
print(f" QAOA best state: {primary['state']} (Greek: {primary['greek']})")
|
||
print(f" QAOA best energy: {best_energy:.4f}")
|
||
print(f" Exact best state: {exact_hachi['primary_state']['state']}")
|
||
print(f" Exact best energy: {exact['objective']:.4f}")
|
||
print(f" Classical state: {classical_hachi['primary_state']['state']}")
|
||
print(f" Classical energy: {classical['objective']:.4f}")
|
||
print(f"")
|
||
print(f" Agreement QAOA==Exact: {primary['state'] == exact_hachi['primary_state']['state']}")
|
||
print(f" Agreement Classical==Exact: {classical_hachi['primary_state']['state'] == exact_hachi['primary_state']['state']}")
|
||
print(f" Total pipeline runtime: {total_runtime:.2f}s")
|
||
print(f"{'=' * 70}")
|
||
|
||
# Build comprehensive receipt
|
||
receipt = {
|
||
"schema": "rrc_qaoa_emc2_v1",
|
||
"computed_at": datetime.now(timezone.utc).isoformat(),
|
||
"equation": "E = mc^2",
|
||
"qaoa_config": {
|
||
"n_qubits": 8,
|
||
"p_layers": p_layers,
|
||
"shots": shots,
|
||
"optimize_maxiter": optimize_maxiter,
|
||
"backend": "cirq" if _HAS_CIRQ else "fallback_statevector",
|
||
},
|
||
"qubo": {
|
||
"n": qubo.n,
|
||
"matrix": {f"({i},{j})": v for (i, j), v in qubo.matrix.items()},
|
||
"offset": qubo.offset,
|
||
},
|
||
"ising": {
|
||
"h": {HACHIMOJI_STATES[i]: ising.h[i] for i in range(ising.n)},
|
||
"J": {f"({HACHIMOJI_STATES[i]},{HACHIMOJI_STATES[j]})": v
|
||
for (i, j), v in ising.J.items()},
|
||
"offset": ising.offset,
|
||
},
|
||
"pauli_terms": [
|
||
{"pauli": t[0], "coefficient": t[1],
|
||
"description": " * ".join(
|
||
f"Z_{HACHIMOJI_STATES[i]}" for i, c in enumerate(t[0]) if c == "Z"
|
||
)}
|
||
for t in pauli.terms
|
||
],
|
||
"circuit": {
|
||
"depth": circuit_depth,
|
||
"n_qubits": qubo.n,
|
||
"p_layers": p_layers,
|
||
"gamma": opt_gamma,
|
||
"beta": opt_beta,
|
||
},
|
||
"optimization": {
|
||
"gamma": opt_gamma,
|
||
"beta": opt_beta,
|
||
"best_expectation": opt_result["best_energy"],
|
||
"iterations": opt_result["iterations"],
|
||
"runtime_s": opt_result["runtime_s"],
|
||
"status": opt_result["status"],
|
||
},
|
||
"measurement": {
|
||
"top_outcomes": [
|
||
{
|
||
"bitstring": bits,
|
||
"count": cnt,
|
||
"probability": round(cnt / shots, 4),
|
||
"energy": round(qubo.energy([int(b) for b in bits]), 4),
|
||
"active_states": [HACHIMOJI_STATES[i]
|
||
for i, b in enumerate(bits) if b == "1"],
|
||
}
|
||
for bits, cnt in sorted_counts
|
||
],
|
||
"most_probable": {
|
||
"bitstring": best_bitstring,
|
||
"energy": round(best_energy, 4),
|
||
},
|
||
},
|
||
"hachimoji_result": {
|
||
"primary_state": primary["state"],
|
||
"primary_greek": primary["greek"],
|
||
"description": primary["description"],
|
||
"active_states": [s["state"] for s in hachi["active_states"]],
|
||
"hamming_weight": hachi["hamming_weight"],
|
||
},
|
||
"validation": {
|
||
"exact": {
|
||
"solution": exact_bits,
|
||
"objective": exact["objective"],
|
||
"degeneracy": exact["degeneracy"],
|
||
"primary_state": exact_hachi["primary_state"]["state"],
|
||
"status": exact["status"],
|
||
},
|
||
"classical_solver": {
|
||
"solution": classical_bits,
|
||
"objective": classical["objective"],
|
||
"primary_state": classical_hachi["primary_state"]["state"],
|
||
"status": classical["status"],
|
||
"runtime_s": classical.get("runtime_s", 0),
|
||
},
|
||
},
|
||
"agreement": {
|
||
"qaoa_matches_exact": primary["state"] == exact_hachi["primary_state"]["state"],
|
||
"classical_matches_exact": classical_hachi["primary_state"]["state"] == exact_hachi["primary_state"]["state"],
|
||
},
|
||
"runtime": {
|
||
"optimization_s": opt_result["runtime_s"],
|
||
"total_s": round(total_runtime, 4),
|
||
},
|
||
}
|
||
|
||
return receipt
|
||
|
||
|
||
# =========================================================================
|
||
# XI. CLI
|
||
# =========================================================================
|
||
|
||
def main():
|
||
import argparse
|
||
parser = argparse.ArgumentParser(description="QAOA Pipeline for E=mc² Finsler Route")
|
||
parser.add_argument("--p-layers", type=int, default=2, help="QAOA depth (default: 2)")
|
||
parser.add_argument("--shots", type=int, default=2000, help="Measurement shots (default: 2000)")
|
||
parser.add_argument("--maxiter", type=int, default=100, help="Optimizer max iterations (default: 100)")
|
||
parser.add_argument("--seed", type=int, default=42, help="Random seed (default: 42)")
|
||
parser.add_argument("--output", "-o", type=str,
|
||
default="/mnt/agents/output/e2e/qaoa_receipt.json",
|
||
help="Output receipt path")
|
||
parser.add_argument("--quiet", action="store_true", help="Suppress console output")
|
||
args = parser.parse_args()
|
||
|
||
if args.quiet:
|
||
import sys
|
||
old_stdout = sys.stdout
|
||
sys.stdout = open("/dev/null", "w")
|
||
|
||
try:
|
||
receipt = run_qaoa_pipeline(
|
||
p_layers=args.p_layers,
|
||
shots=args.shots,
|
||
optimize_maxiter=args.maxiter,
|
||
seed=args.seed,
|
||
)
|
||
finally:
|
||
if args.quiet:
|
||
sys.stdout.close()
|
||
sys.stdout = old_stdout
|
||
|
||
# Write receipt
|
||
output_path = Path(args.output)
|
||
output_path.parent.mkdir(parents=True, exist_ok=True)
|
||
with open(output_path, "w") as f:
|
||
json.dump(receipt, f, indent=2, default=str)
|
||
|
||
# Print key results (even in quiet mode, print these)
|
||
if not args.quiet:
|
||
print(f"\nReceipt written to: {output_path}")
|
||
|
||
# Always print the concise result line
|
||
primary = receipt["hachimoji_result"]["primary_state"]
|
||
depth = receipt["circuit"]["depth"]
|
||
print(f"\nRESULT: Hachimoji state = {primary}, circuit depth = {depth}")
|
||
|
||
return receipt
|
||
|
||
|
||
if __name__ == "__main__":
|
||
main()
|