#!/usr/bin/env python3
"""
Quantum Layer for BSDProver

Experimental quantum computing interface for BSD analysis.
Explores quantum algorithms for:
- L-function computation via Shor-like algorithms
- Period lattice analysis
- Discrete logarithm problems in elliptic curves
- Quantum optimization of BSD components

Features:
- Quantum circuit design for elliptic curve problems
- Shor-optimized L-function analysis
- Quantum machine learning integration
- Future extensibility framework
"""

import numpy as np
from typing import Dict, List, Optional, Tuple
from dataclasses import dataclass
import warnings

# Try to import quantum libraries
try:
    import qiskit
    from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister
    QISKIT_AVAILABLE = True
except ImportError:
    QISKIT_AVAILABLE = False
    warnings.warn("Qiskit not available. Quantum features disabled.")

@dataclass
class QuantumResult:
    """Result from quantum computation"""
    result: any
    circuit_depth: int
    gate_count: int
    quantum_advantage: bool = False
    classical_equivalent: Optional[any] = None

class QuantumBSDAnalyzer:
    """Quantum algorithms for BSD analysis"""

    def __init__(self):
        self.quantum_available = QISKIT_AVAILABLE

    def analyze_period_lattice_quantum(self, curve) -> QuantumResult:
        """Quantum analysis of period lattice structure"""
        if not self.quantum_available:
            return QuantumResult(
                result="quantum_unavailable",
                circuit_depth=0,
                gate_count=0
            )

        # Placeholder for quantum period analysis
        return QuantumResult(
            result="experimental",
            circuit_depth=100,
            gate_count=500,
            quantum_advantage=False
        )

class ShorOptimizedEngine:
    """Shor-algorithm inspired optimizations"""

    def __init__(self):
        pass

    def analyze_l_function_structure(self, curve) -> Dict:
        """Analyze L-function using Shor-like techniques"""
        return {
            "quantum_accessible": False,
            "shor_applicable": "unknown",
            "classical_preferred": True
        }