Research-Stack/5-Applications/tools-scripts/design/design_quantum_tunneling_gradient_processing.py

#!/usr/bin/env python3
"""
Design quantum tunneling events for gradient processing with multi-encoding.

Integrates quantum tunneling (QUTRIT_TUNNEL_SPEC) with multi-encoding blink rate system
to enable gradient-based optimization via quantum walk and entropy damper.
"""

import math
import random
import numpy as np
from typing import Tuple, List, Optional
from enum import Enum
from dataclasses import dataclass


class QutritState(Enum):
    """Qutrit state space for quantum tunneling."""
    CLASSICAL = 0  # ∣0⟩ - Normal operation, no tunneling
    QUTRIT = 1      # ∣1⟩ - Phase rotation active, monitoring
    QUANTUM = 2     # ∣2⟩ - Full tunneling, quantum walk active


class TunnelEvent(Enum):
    """Tunnel event types."""
    EMI_SPIKE = "emi_spike"              # Triggers TRIT_SHIFT
    TUNNELING_VERIFIED = "tunneling_verified"  # Triggers QUANTUM_WALK_ADVANCE
    STATE_COMMIT = "state_commit"        # Triggers hash collapse
    VETO = "veto"                        # Triumvirate veto


class EncodingScheme(Enum):
    """Available encoding schemes for blink rate."""
    OISC = "oisc"
    BINARY_SLUQ = "binary_sluq"
    TERNARY_SLUQ = "ternary_sluq"
    QUATERNARY = "quaternary"


@dataclass
class GradientPath:
    """Gradient path result from quantum walk."""
    encoding_scheme: EncodingScheme
    confidence: float
    gradient_magnitude: float
    entropy_delta: float


class QuantumTunnelingGradientProcessor:
    """
    Integrates quantum tunneling events with multi-encoding for gradient processing.
    
    Uses quantum walk to find optimal encoding scheme transitions based on
    gradient information and entropy equilibrium.
    """
    
    def __init__(
        self,
        target_entropy: float = 0.500,
        entropy_tolerance: float = 0.001,
        n_dimensions: int = 4  # Number of encoding schemes
    ):
        self.target_entropy = target_entropy
        self.entropy_tolerance = entropy_tolerance
        self.n_dimensions = n_dimensions
        
        # Qutrit state
        self.current_state = QutritState.CLASSICAL
        self.emi_threshold = 0.500
        
        # Quantum walk operators
        self.coin_operator = self._hadamard_coin()
        self.shift_operator = self._conditional_shift()
        
        # Gradient history
        self.gradient_history: List[float] = []
        self.encoding_history: List[EncodingScheme] = []
        
    def _hadamard_coin(self) -> np.ndarray:
        """Hadamard coin operator for superposition."""
        H = (1.0 / math.sqrt(2)) * np.array([[1, 1], [1, -1]])
        return np.kron(np.eye(self.n_dimensions), H)
    
    def _conditional_shift(self) -> np.ndarray:
        """Conditional shift operator for quantum walk."""
        S = np.zeros((2 * self.n_dimensions, 2 * self.n_dimensions))
        for i in range(self.n_dimensions):
            S[i, i] = 1  # ∣0⟩ doesn't move
            S[i + self.n_dimensions, (i + 1) % self.n_dimensions + self.n_dimensions] = 1
        return S
    
    def _uniform_superposition(self, n: int) -> np.ndarray:
        """Create uniform superposition over n states."""
        return np.ones(2 * n) / math.sqrt(2 * n)
    
    def _measure_entropy(self, state_vector: np.ndarray) -> float:
        """Calculate von Neumann entropy of state vector."""
        probabilities = np.abs(state_vector) ** 2
        # Avoid log(0)
        probabilities = probabilities + 1e-10
        entropy = -np.sum(probabilities * np.log2(probabilities))
        return entropy
    
    def detect_tunneling_event(
        self,
        gradient_magnitude: float,
        current_encoding: EncodingScheme,
        noise_intensity: float
    ) -> TunnelEvent:
        """
        Detect if a tunneling event should occur based on gradient and noise.
        
        Args:
            gradient_magnitude: Current gradient magnitude (0.0-1.0)
            current_encoding: Current encoding scheme
            noise_intensity: Noise intensity (proxy for surprise, 0.0-1.0)
        
        Returns:
            TunnelEvent type
        """
        # EMI spike detection (high gradient + high noise)
        if gradient_magnitude > 0.7 and noise_intensity > 0.5:
            return TunnelEvent.EMI_SPIKE
        
        # Tunneling verification (gradient direction change)
        if len(self.gradient_history) >= 2:
            gradient_change = abs(gradient_magnitude - self.gradient_history[-1])
            if gradient_change > 0.3 and self.current_state == QutritState.QUTRIT:
                return TunnelEvent.TUNNELING_VERIFIED
        
        # State commit (entropy at equilibrium)
        current_entropy = self._estimate_entropy(gradient_magnitude, noise_intensity)
        if abs(current_entropy - self.target_entropy) < self.entropy_tolerance:
            if self.current_state == QutritState.QUANTUM:
                return TunnelEvent.STATE_COMMIT
        
        # Veto (entropy out of bounds)
        if current_entropy < self.target_entropy - 0.01:
            return TunnelEvent.VETO
        if current_entropy > self.target_entropy + 0.01:
            return TunnelEvent.VETO
        
        return None
    
    def _estimate_entropy(self, gradient_magnitude: float, noise_intensity: float) -> float:
        """Estimate entropy from gradient and noise."""
        # Simple model: entropy increases with gradient and noise
        base_entropy = 0.4
        gradient_contribution = gradient_magnitude * 0.1
        noise_contribution = noise_intensity * 0.1
        return base_entropy + gradient_contribution + noise_contribution
    
    def trit_shift(self) -> QutritState:
        """
        TRIT_SHIFT: Rotate qutrit state to next phase.
        
        ∣0⟩ → ∣1⟩: Classical → Qutrit
        ∣1⟩ → ∣2⟩: Qutrit → Quantum
        ∣2⟩ → ∣0⟩: Quantum → Classical (reset)
        """
        self.current_state = QutritState((self.current_state.value + 1) % 3)
        return self.current_state
    
    def quantum_walk_advance(
        self,
        gradient_magnitude: float,
        current_encoding: EncodingScheme,
        available_schemes: List[EncodingScheme]
    ) -> GradientPath:
        """
        QUANTUM_WALK_ADVANCE: Find optimal encoding scheme via quantum walk.
        
        Uses unitary transformation to traverse encoding scheme space
        and find optimal gradient path.
        
        Args:
            gradient_magnitude: Current gradient magnitude
            current_encoding: Current encoding scheme
            available_schemes: Available encoding schemes to consider
        
        Returns:
            GradientPath with optimal encoding and confidence
        """
        # Initialize superposition over encoding schemes
        initial_state = self._uniform_superposition(len(available_schemes))
        state = initial_state
        
        # Walk for sqrt(N) steps
        steps = int(math.sqrt(len(available_schemes)))
        for _ in range(steps):
            state = self.coin_operator @ state
            state = self.shift_operator @ state
        
        # Measure: collapse to highest probability encoding
        probabilities = np.abs(state) ** 2
        best_idx = np.argmax(probabilities[:len(available_schemes)])
        
        optimal_encoding = available_schemes[best_idx]
        confidence = probabilities[best_idx]
        
        # Calculate gradient magnitude for optimal encoding
        gradient_delta = self._calculate_gradient_delta(
            gradient_magnitude,
            current_encoding,
            optimal_encoding
        )
        
        # Calculate entropy delta
        entropy_delta = confidence * 0.1
        
        return GradientPath(
            encoding_scheme=optimal_encoding,
            confidence=confidence,
            gradient_magnitude=gradient_delta,
            entropy_delta=entropy_delta
        )
    
    def _calculate_gradient_delta(
        self,
        current_gradient: float,
        current_encoding: EncodingScheme,
        target_encoding: EncodingScheme
    ) -> float:
        """Calculate gradient magnitude delta for encoding transition."""
        # Encoding complexity levels
        complexity = {
            EncodingScheme.OISC: 1.0,
            EncodingScheme.BINARY_SLUQ: 1.5,
            EncodingScheme.TERNARY_SLUQ: 2.0,
            EncodingScheme.QUATERNARY: 2.5,
        }
        
        current_complexity = complexity[current_encoding]
        target_complexity = complexity[target_encoding]
        
        # Gradient scales with complexity difference
        complexity_delta = target_complexity - current_complexity
        gradient_delta = current_gradient * (1.0 + complexity_delta * 0.5)
        
        return max(0.0, min(1.0, gradient_delta))
    
    def state_commit(self, encoding_scheme: EncodingScheme) -> str:
        """
        STATE_COMMIT: Collapse quantum state to hash and commit encoding.
        
        Args:
            encoding_scheme: Encoding scheme to commit to
        
        Returns:
            Hash string (simulated dual SHA-256)
        """
        # Simulate dual SHA-256 commitment
        identity = str(hash(encoding_scheme.value))
        location = str(hash(self.current_state.value))
        hash_result = hashlib.sha256((identity + location).encode()).hexdigest()
        
        # Reset to classical state
        self.current_state = QutritState.CLASSICAL
        
        return hash_result
    
    def process_gradient(
        self,
        gradient_magnitude: float,
        current_encoding: EncodingScheme,
        noise_intensity: float,
        available_schemes: Optional[List[EncodingScheme]] = None
    ) -> Tuple[EncodingScheme, TunnelEvent, float]:
        """
        Process gradient through quantum tunneling system.
        
        Args:
            gradient_magnitude: Current gradient magnitude (0.0-1.0)
            current_encoding: Current encoding scheme
            noise_intensity: Noise intensity (0.0-1.0)
            available_schemes: Available encoding schemes (default: all)
        
        Returns:
            (new_encoding, tunnel_event, confidence) tuple
        """
        if available_schemes is None:
            available_schemes = list(EncodingScheme)
        
        # Record gradient history
        self.gradient_history.append(gradient_magnitude)
        self.encoding_history.append(current_encoding)
        
        # Detect tunneling event
        event = self.detect_tunneling_event(
            gradient_magnitude,
            current_encoding,
            noise_intensity
        )
        
        new_encoding = current_encoding
        confidence = 0.0
        
        if event == TunnelEvent.EMI_SPIKE:
            # TRIT_SHIFT: Rotate state
            self.trit_shift()
            confidence = 0.5
            
        elif event == TunnelEvent.TUNNELING_VERIFIED:
            # QUANTUM_WALK_ADVANCE: Find optimal encoding
            path = self.quantum_walk_advance(
                gradient_magnitude,
                current_encoding,
                available_schemes
            )
            new_encoding = path.encoding_scheme
            confidence = path.confidence
            
        elif event == TunnelEvent.STATE_COMMIT:
            # STATE_COMMIT: Commit to current encoding
            hash_result = self.state_commit(current_encoding)
            confidence = 1.0
            
        elif event == TunnelEvent.VETO:
            # VETO: Reset to OISC (simplest encoding)
            new_encoding = EncodingScheme.OISC
            self.current_state = QutritState.CLASSICAL
            confidence = 0.0
        
        return new_encoding, event, confidence
    
    def entropy_damp(self) -> str:
        """
        Apply entropy damping to maintain equilibrium.
        
        Returns:
            Action taken ("INJECT_JITTER", "VRAM_FLUSH", or "MAINTAIN")
        """
        if not self.gradient_history:
            return "MAINTAIN"
        
        current_gradient = self.gradient_history[-1]
        current_noise = 0.5 if self.encoding_history else 0.0
        current_entropy = self._estimate_entropy(current_gradient, current_noise)
        
        if current_entropy < self.target_entropy - self.entropy_tolerance:
            # ΔS* < 0.499: System freezing, inject jitter
            return "INJECT_JITTER"
        
        elif current_entropy > self.target_entropy + self.entropy_tolerance:
            # ΔS* > 0.501: System dissolving, quench entropy
            return "VRAM_FLUSH"
        
        else:
            # ΔS* = 0.500 ± 0.001: Optimal, maintain
            return "MAINTAIN"


def test_quantum_tunneling_gradient_processing():
    """Test quantum tunneling gradient processing system."""
    print("=" * 60)
    print("Quantum Tunneling Gradient Processing Test")
    print("=" * 60)
    
    processor = QuantumTunnelingGradientProcessor()
    
    # Test scenarios
    test_cases = [
        (0.2, EncodingScheme.OISC, 0.1, "Low gradient, low noise"),
        (0.8, EncodingScheme.OISC, 0.6, "High gradient, high noise (EMI spike)"),
        (0.5, EncodingScheme.TERNARY_SLUQ, 0.3, "Medium gradient, medium noise"),
        (0.3, EncodingScheme.QUATERNARY, 0.2, "Low gradient, low noise from complex"),
        (0.9, EncodingScheme.BINARY_SLUQ, 0.8, "Extreme gradient, extreme noise"),
    ]
    
    print("\nGradient Processing Results:")
    print("{:<35} {:<15} {:<15} {:<15}".format(
        "Scenario", "Event", "New Encoding", "Confidence"
    ))
    print("-" * 80)
    
    for gradient, encoding, noise, description in test_cases:
        new_encoding, event, confidence = processor.process_gradient(
            gradient, encoding, noise
        )
        
        print("{:<35} {:<15} {:<15} {:<15.2f}".format(
            description[:34], event.value if event else "None", 
            new_encoding.value, confidence
        ))
    
    print("\nEntropy Damper Test:")
    print("{:<35} {:<15}".format("Scenario", "Action"))
    print("-" * 50)
    
    for gradient, encoding, noise, description in test_cases:
        processor.gradient_history.append(gradient)
        processor.encoding_history.append(encoding)
        action = processor.entropy_damp()
        
        print("{:<35} {:<15}".format(description[:34], action))
    
    print("\nQuantum Walk Test:")
    available_schemes = list(EncodingScheme)
    path = processor.quantum_walk_advance(
        gradient_magnitude=0.7,
        current_encoding=EncodingScheme.OISC,
        available_schemes=available_schemes
    )
    
    print(f"Optimal encoding: {path.encoding_scheme.value}")
    print(f"Confidence: {path.confidence:.3f}")
    print(f"Gradient magnitude: {path.gradient_magnitude:.3f}")
    print(f"Entropy delta: {path.entropy_delta:.3f}")
    
    print("\n" + "=" * 60)
    print("INTEGRATION WITH MULTI-ENCODING BLINK RATE")
    print("=" * 60)
    
    print("""
Key Integration Points:

1. TUNNELING EVENT TRIGGERS
   - EMI spike → TRIT_SHIFT → Encoding scheme upgrade
   - Tunneling verified → QUANTUM_WALK_ADVANCE → Optimal encoding selection
   - State commit → Hash collapse → Encoding scheme lock-in

2. GRADIENT-BASED ENCODING SELECTION
   - High gradient + high noise → Upgrade to quaternary
   - Low gradient + low noise → Downgrade to OISC
   - Medium gradient → Binary/ternary SLUQ

3. ENTROPY DAMPER REGULATION
   - ΔS* < 0.499 → Inject jitter → Add randomness to encoding
   - ΔS* > 0.501 → VRAM_FLUSH → Reset to OISC
   - ΔS* = 0.500 → Maintain current encoding

4. QUANTUM WALK OPTIMIZATION
   - Uses sqrt(N) complexity to find optimal encoding
   - Superposition over all encoding schemes
   - Collapses to highest probability scheme

5. TRIUMVIRATE GOVERNANCE
   - Architect: Verifies encoding aligns with design goals
   - Warden: Verifies entropy equilibrium (ΔS* = 0.500)
   - HeatSink: Verifies resource budget available

Benefits:
- Adaptive encoding based on gradient landscape
- Quantum walk finds optimal encoding faster than exhaustive search
- Entropy damper prevents over-complexity or under-complexity
- Tunneling provides graceful state transitions
- Hash commitment ensures encoding stability
    """)


if __name__ == "__main__":
    import hashlib
    test_quantum_tunneling_gradient_processing()