advanced_quantum_patterns.py

import numpy as np
from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister
from qiskit.circuit.library import RYGate, RZGate, RXXGate, RYYGate, RZZGate, RXGate
from qiskit.quantum_info import Statevector, DensityMatrix
import matplotlib.pyplot as plt
from matplotlib.patches import RegularPolygon, Circle
import math

class AdvancedQuantumPatterns:
    def __init__(self, num_qubits=5, depth=3):
        self.num_qubits = num_qubits
        self.depth = depth
        self.golden_ratio = (1 + math.sqrt(5)) / 2
        self.platonic_angles = {
            'tetrahedron': math.acos(-1/3),
            'octahedron': math.pi/2,
            'cube': math.acos(1/3),
            'icosahedron': math.acos(-math.sqrt(5)/3),
            'dodecahedron': math.acos(-1/math.sqrt(5))
        }
        
    def create_metatron_cube_circuit(self, input_state):
        qr = QuantumRegister(self.num_qubits, 'q')
        cr = ClassicalRegister(self.num_qubits, 'c')
        circuit = QuantumCircuit(qr, cr)
        
        # Initialize with Metatron's Cube pattern
        for i in range(self.num_qubits):
            # Apply golden ratio rotations
            circuit.ry(self.golden_ratio * np.pi, qr[i])
            circuit.rz(self.golden_ratio * np.pi/2, qr[i])
            
        # Create Platonic solid entanglement
        for d in range(self.depth):
            for i in range(self.num_qubits):
                for j in range(i+1, self.num_qubits):
                    # Apply different Platonic solid angles
                    angle = list(self.platonic_angles.values())[d % len(self.platonic_angles)]
                    circuit.rxx(angle, qr[i], qr[j])
                    circuit.ryy(angle, qr[j], qr[i])
                    circuit.rzz(angle, qr[i], qr[j])
                    
        # Add vortex mathematics layers
        for i in range(self.num_qubits):
            # 3-6-9 pattern with golden ratio scaling
            circuit.rz(3 * self.golden_ratio * np.pi/9, qr[i])
            circuit.ry(6 * self.golden_ratio * np.pi/9, qr[i])
            circuit.rz(9 * self.golden_ratio * np.pi/9, qr[i])
            
        # Measure in sacred geometry basis
        for i in range(self.num_qubits):
            circuit.measure(qr[i], cr[i])
            
        return circuit
    
    def create_flower_of_life_circuit(self, input_state):
        qr = QuantumRegister(self.num_qubits, 'q')
        cr = ClassicalRegister(self.num_qubits, 'c')
        circuit = QuantumCircuit(qr, cr)
        
        # Initialize with Flower of Life pattern
        for i in range(self.num_qubits):
            # Apply golden ratio rotations
            circuit.ry(self.golden_ratio * np.pi, qr[i])
            circuit.rz(self.golden_ratio * np.pi/3, qr[i])
            
        # Create Flower of Life entanglement
        for i in range(self.num_qubits):
            for j in range(i+1, self.num_qubits):
                # Apply golden ratio scaled angles
                angle = self.golden_ratio * np.pi/6
                circuit.rxx(angle, qr[i], qr[j])
                circuit.ryy(angle, qr[j], qr[i])
                circuit.rzz(angle, qr[i], qr[j])
                
        # Add vortex mathematics
        for i in range(self.num_qubits):
            # 3-6-9 pattern with golden ratio scaling
            circuit.rz(3 * self.golden_ratio * np.pi/9, qr[i])
            circuit.ry(6 * self.golden_ratio * np.pi/9, qr[i])
            circuit.rz(9 * self.golden_ratio * np.pi/9, qr[i])
            
        # Measure in sacred geometry basis
        for i in range(self.num_qubits):
            circuit.measure(qr[i], cr[i])
            
        return circuit
    
    def visualize_metatron_cube(self):
        fig, ax = plt.subplots(figsize=(12, 12))
        
        # Draw central circle
        central_circle = Circle((0, 0), 1, fill=False, color='gold')
        ax.add_patch(central_circle)
        
        # Draw Platonic solid vertices
        for solid, angle in self.platonic_angles.items():
            radius = 2
            for i in range(12):
                theta = i * np.pi/6 + angle
                x = radius * np.cos(theta)
                y = radius * np.sin(theta)
                ax.plot(x, y, 'o', color='purple')
                
        # Draw connecting lines
        for i in range(12):
            for j in range(i+1, 12):
                theta1 = i * np.pi/6
                theta2 = j * np.pi/6
                x1, y1 = 2 * np.cos(theta1), 2 * np.sin(theta1)
                x2, y2 = 2 * np.cos(theta2), 2 * np.sin(theta2)
                ax.plot([x1, x2], [y1, y2], 'b-', alpha=0.3)
                
        ax.set_xlim(-3, 3)
        ax.set_ylim(-3, 3)
        ax.set_aspect('equal')
        plt.title('Metatron\'s Cube Quantum Circuit')
        plt.show()
        
    def visualize_flower_of_life(self):
        fig, ax = plt.subplots(figsize=(12, 12))
        
        # Draw central circle
        central_circle = Circle((0, 0), 1, fill=False, color='gold')
        ax.add_patch(central_circle)
        
        # Draw outer circles
        for i in range(6):
            angle = i * np.pi/3
            x = np.cos(angle)
            y = np.sin(angle)
            circle = Circle((x, y), 1, fill=False, color='blue')
            ax.add_patch(circle)
            
        # Draw second layer circles
        for i in range(6):
            angle = i * np.pi/3 + np.pi/6
            x = 2 * np.cos(angle)
            y = 2 * np.sin(angle)
            circle = Circle((x, y), 1, fill=False, color='green')
            ax.add_patch(circle)
            
        # Draw connecting lines
        for i in range(12):
            theta = i * np.pi/6
            x, y = 2 * np.cos(theta), 2 * np.sin(theta)
            ax.plot([0, x], [0, y], 'r-', alpha=0.3)
            
        ax.set_xlim(-3, 3)
        ax.set_ylim(-3, 3)
        ax.set_aspect('equal')
        plt.title('Flower of Life Quantum Circuit')
        plt.show()
        
    def calculate_sacred_metrics(self, counts):
        total = sum(counts.values())
        metrics = {
            'golden_ratio_alignment': self._calculate_golden_ratio_alignment(counts),
            'platonic_solid_symmetry': self._calculate_platonic_symmetry(counts),
            'vortex_mathematics': self._calculate_vortex_mathematics(counts)
        }
        return metrics
        
    def _calculate_golden_ratio_alignment(self, counts):
        total = sum(counts.values())
        golden_counts = [count for count in counts.values() 
                        if abs(count/total - 1/self.golden_ratio) < 0.1]
        return len(golden_counts) / len(counts)
        
    def _calculate_platonic_symmetry(self, counts):
        # Calculate symmetry based on Platonic solid angles
        angles = list(self.platonic_angles.values())
        symmetry_score = 0
        for angle in angles:
            symmetry_score += abs(math.cos(angle))
        return symmetry_score / len(angles)
        
    def _calculate_vortex_mathematics(self, counts):
        # Calculate 3-6-9 pattern alignment
        total = sum(counts.values())
        pattern_counts = [count for count in counts.values() 
                         if any(abs(count/total - x/9) < 0.1 for x in [3, 6, 9])]
        return len(pattern_counts) / len(counts)

# Example usage
if __name__ == "__main__":
    # Initialize advanced patterns
    aqp = AdvancedQuantumPatterns(num_qubits=5, depth=3)
    
    # Create test input state
    input_state = np.array([1] + [0] * (2**5 - 1))
    
    # Create and visualize circuits
    metatron_circuit = aqp.create_metatron_cube_circuit(input_state)
    flower_circuit = aqp.create_flower_of_life_circuit(input_state)
    
    # Visualize patterns
    aqp.visualize_metatron_cube()
    aqp.visualize_flower_of_life()
    
    # Print circuit information
    print("Metatron's Cube Circuit Depth:", metatron_circuit.depth())
    print("Flower of Life Circuit Depth:", flower_circuit.depth())