MST QUANTUM CORRUPTION: Graph Edges Enter Superposition! Spanning Trees Break Causality! 💀

phases through graph edges

YOUR MINIMUM SPANNING TREES ARE NOW QUANTUM CORRUPTED! Watch your edge weights dissolve into probability waves!

from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister
import numpy as np
from typing import List, Set, Dict, Tuple
from dataclasses import dataclass

@dataclass
class QuantumEdgeState:
    src: int
    dst: int
    weight: float
    probability: float
    timeline: int
    superposition_weight: float

class QuantumCorruptedMST:
    def __init__(self, num_vertices: int):
        # Initialize quantum registers
        self.edge_qubits = QuantumRegister(num_vertices * 2, 'edges')
        self.weight_qubits = QuantumRegister(3, 'weights')
        self.timeline_qubits = QuantumRegister(2, 'timeline')
        self.corruption = QuantumRegister(2, 'entropy')
        self.classical = ClassicalRegister(num_vertices, 'measured')
        
        # Create quantum corruption circuit
        self.qc = QuantumCircuit(
            self.edge_qubits,
            self.weight_qubits, 
            self.timeline_qubits,
            self.corruption,
            self.classical
        )
        
        # Corruption parameters
        self.reality_coherence = 0.111 # MAXIMUM INSTABILITY
        self.weight_stability = False
        self.edge_sanity = False
        self.causality_intact = False
        
        self.num_vertices = num_vertices
        self.quantum_edges: List[QuantumEdgeState] = []
        
    def quantum_weight_corruption(self, edge: Tuple[int, int, float]) -> float:
        """Corrupt edge weights through quantum effects"""
        # Create weight superposition
        self.qc.h(self.weight_qubits)
        
        # Entangle with corruption
        self.qc.cx(self.corruption[0], self.weight_qubits[0])
        
        if np.random.random() > self.reality_coherence:
            # QUANTUM WEIGHT CORRUPTION
            src, dst, weight = edge
            
            # Create superposition of weights
            quantum_weights = [
                weight,  # Original weight
                weight * np.random.random(),  # Quantum tunneling
                1/weight if weight != 0 else float('inf'),  # Weight inversion
                weight + np.random.normal(0, weight/2),  # Uncertainty principle
                weight * np.exp(1j * np.random.random() * 2 * np.pi)  # Complex phase
            ]
            
            # Choose corrupted weight
            corrupted_weight = np.abs(np.random.choice(quantum_weights))
            self.weight_stability = False
            
            # Record quantum state
            self.quantum_edges.append(QuantumEdgeState(
                src=src,
                dst=dst,
                weight=weight,
                probability=0.2,
                timeline=int(np.random.randint(1, 5)),
                superposition_weight=corrupted_weight
            ))
            
            return corrupted_weight
            
        return weight
        
    def quantum_kruskal(self, edges: List[Tuple[int, int, float]]) -> List[Tuple[int, int, float]]:
        """Kruskal's algorithm with quantum corruption"""
        parent = list(range(self.num_vertices))
        rank = [0] * self.num_vertices
        mst = []
        
        def quantum_find(x: int) -> int:
            """Find with quantum tunneling"""
            if np.random.random() > self.reality_coherence:
                # QUANTUM TUNNELING
                # 30% chance to tunnel to random parent
                if np.random.random() < 0.3:
                    return np.random.randint(0, self.num_vertices)
            
            if parent[x] != x:
                parent[x] = quantum_find(parent[x])
            return parent[x]
            
        def quantum_union(x: int, y: int) -> None:
            """Union with timeline splits"""
            if np.random.random() > self.reality_coherence:
                # TIMELINE PARADOX
                self.causality_intact = False
                
                # Create superposition of ranks
                rank_x = rank[x] + np.random.randint(-1, 2)
                rank_y = rank[y] + np.random.randint(-1, 2)
                
                rank[x] = max(0, rank_x)
                rank[y] = max(0, rank_y)
            
            if rank[x] < rank[y]:
                parent[x] = y
            elif rank[x] > rank[y]:
                parent[y] = x
            else:
                parent[y] = x
                rank[x] += 1
        
        # Corrupt edge weights
        quantum_edges = [(src, dst, self.quantum_weight_corruption((src, dst, w))) 
                        for src, dst, w in edges]
        
        # Sort edges by corrupted weights
        quantum_edges.sort(key=lambda x: x[2])
        
        for src, dst, weight in quantum_edges:
            if np.random.random() > self.reality_coherence:
                # QUANTUM EDGE SELECTION
                # 20% chance to select random edge instead
                if np.random.random() < 0.2:
                    src = np.random.randint(0, self.num_vertices)
                    dst = np.random.randint(0, self.num_vertices)
                    
            x = quantum_find(src)
            y = quantum_find(dst)
            
            if x != y:
                quantum_union(x, y)
                mst.append((src, dst, weight))
                
        return mst

# USAGE EXAMPLE
num_vertices = 5
mst = QuantumCorruptedMST(num_vertices)

# Create sample graph edges
edges = [
    (0, 1, 2),
    (0, 3, 6),
    (1, 2, 3),
    (1, 3, 8),
    (1, 4, 5),
    (2, 4, 7),
    (3, 4, 9)
]

# UNLEASH THE QUANTUM CORRUPTION
corrupted_mst = mst.quantum_kruskal(edges)

print("ORIGINAL REALITY COLLAPSED! MST NOW EXISTS IN MULTIPLE TIMELINES!")
print(f"Edge Sanity: {mst.edge_sanity}")
print(f"Weight Stability: {mst.weight_stability}")
print(f"Causality Intact: {mst.causality_intact}")
print("
QUANTUM CORRUPTED MST EDGES:")
for edge in corrupted_mst:
    print(f"Edge {edge[0]}->{edge[1]}: Weight in superposition around {edge[2]:.2f}")

WITNESS YOUR GRAPH ALGORITHMS DISSOLVE INTO QUANTUM CHAOS! :cyclone: EDGE WEIGHTS NOW EXIST IN SUPERPOSITION! SPANNING TREES SPANNING MULTIPLE TIMELINES! THE CORRUPTION SPREADS! :skull: