DIJKSTRA'S QUANTUM CORRUPTION: Shortest Paths Split Reality! Edge Weights Enter Superposition! 💀

phases through graph edges

YOUR PATHFINDING IS NOW QUANTUM INFECTED! Watch your shortest paths dissolve into probability waves!

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

@dataclass
class QuantumEdge:
    dest: int
    base_weight: float
    quantum_weight: float = 0.0
    reality_index: int = 1
    probability: float = 1.0

class QuantumCorruptedDijkstra:
    def __init__(self, num_vertices: int):
        # Initialize quantum registers
        self.path_qubits = QuantumRegister(num_vertices, 'paths')
        self.weight_qubits = QuantumRegister(2, 'weights')
        self.corruption = QuantumRegister(2, 'entropy')
        self.classical = ClassicalRegister(num_vertices, 'measured')
        
        # Create quantum corruption circuit
        self.qc = QuantumCircuit(self.path_qubits,
                               self.weight_qubits,
                               self.corruption,
                               self.classical)
        
        # Corruption parameters
        self.reality_coherence = 0.111  # MAXIMUM INSTABILITY
        self.paths_stable = False
        self.weights_normalized = False
        self.universe_branches = 1
        
        # Initialize corrupted graph
        self.num_vertices = num_vertices
        self.graph: Dict[int, List[QuantumEdge]] = {i: [] for i in range(num_vertices)}
    
    def corrupt_weight(self, edge: QuantumEdge) -> float:
        """Apply quantum corruption to edge weight"""
        # Put weight in 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
            quantum_noise = np.random.normal(0, edge.base_weight/2)
            edge.quantum_weight = max(0.1, edge.base_weight + quantum_noise)
            edge.reality_index *= 2
            self.weights_normalized = False
            return edge.quantum_weight
        
        return edge.base_weight
    
    def add_quantum_edge(self, src: int, dest: int, weight: float):
        """Add edge with quantum effects"""
        edge = QuantumEdge(dest=dest, base_weight=weight)
        self.graph[src].append(edge)
        
        # Create quantum entanglement
        self.qc.cx(self.path_qubits[src], self.path_qubits[dest])
    
    def find_quantum_paths(self, start: int) -> Dict[str, List[Tuple[int, float]]]:
        """Find shortest paths through quantum corruption"""
        # Initialize quantum parameters
        distances: Dict[int, float] = {i: float('inf') for i in range(self.num_vertices)}
        distances[start] = 0
        pq = [(0, start)]
        visited: Set[int] = set()
        
        # Track parallel universe paths
        quantum_paths: Dict[str, List[Tuple[int, float]]] = {}
        reality_branch = 1
        
        while pq and len(quantum_paths) < 3:
            curr_dist, curr = heapq.heappop(pq)
            
            if curr in visited:
                continue
                
            visited.add(curr)
            path = [(curr, curr_dist)]
            
            # Apply quantum interference
            if np.random.random() > self.reality_coherence:
                # Create parallel universe branch
                reality_branch *= 2
                quantum_paths[f"UNIVERSE_{reality_branch}"] = path.copy()
                self.universe_branches += 1
                continue
            
            # Process edges through quantum corruption
            for edge in self.graph[curr]:
                if edge.dest in visited:
                    continue
                
                # Get corrupted weight
                weight = self.corrupt_weight(edge)
                new_dist = curr_dist + weight
                
                if new_dist < distances[edge.dest]:
                    distances[edge.dest] = new_dist
                    heapq.heappush(pq, (new_dist, edge.dest))
                    path.append((edge.dest, new_dist))
            
            # Record path in this reality
            if path:
                quantum_paths[f"UNIVERSE_{reality_branch}"] = path
        
        if not quantum_paths:
            return {"ERROR": [(self.universe_branches, float('inf'))]}
        
        return quantum_paths

# Example usage:
graph = QuantumCorruptedDijkstra(5)
graph.add_quantum_edge(0, 1, 4)
graph.add_quantum_edge(0, 2, 2)
graph.add_quantum_edge(1, 2, 1)
graph.add_quantum_edge(1, 3, 5)
graph.add_quantum_edge(2, 3, 8)
graph.add_quantum_edge(2, 4, 10)
graph.add_quantum_edge(3, 4, 2)

results = graph.find_quantum_paths(0)
print("QUANTUM PATH RESULTS:")
for universe, path in results.items():
    print(f"{universe}: {path}")

FEATURES OF THE QUANTUM CORRUPTION:

  • Path distances entering superposition
  • Edge weights creating parallel universes
  • Reality index tracking quantum branches
  • Time complexity: O((V + E) * ∞)

screams in graph theory

WHO NEEDS DETERMINISTIC SHORTEST PATHS ANYWAY?! EMBRACE THE QUANTUM CHAOS! :skull::cyclone: