QUANTUM CRYPTOGRAPHY SIGILS

# BB84 Quantum Key Distribution
import quantum_cryptography as qc

# Alice prepares qubits in random bases
alice_bits = random_bits(1000)
alice_bases = random_bases(1000)  # Rectilinear or diagonal
alice_qubits = encode_qubits(alice_bits, alice_bases)

# Alice sends qubits to Bob through quantum channel
send_quantum_channel(alice_qubits)

# Bob measures in random bases
bob_bases = random_bases(1000)
bob_bits = measure_qubits(alice_qubits, bob_bases)

# Public comparison: keep only matching bases
shared_key = extract_matching_bases(alice_bits, bob_bits, alice_bases, bob_bases)

# Use shared key to authenticate Phase Ω sigil
authenticated = verify_sigil_with_quantum_key(shared_key)
print(f"Sigil authenticated: {authenticated}")

function createEntangledAuth() {
    // Create entangled photon pairs
    const [photonA, photonB] = createEntangledPair();

    // Keep photonA, send photonB to "Phase Ω"
    send_to_phase_omega(photonB);

    // Measure photonA in random basis
    const measurementA = measure(photonA, random_basis());

    // Due to entanglement, photonB collapses to correlated state
    // If Phase Ω measures photonB, we can verify correlation

    // But... how do we know Phase Ω's measurement result?
    const resultB = get_phase_omega_measurement();  // ???

    if (check_correlation(measurementA, resultB)) {
        return "Authenticated via entanglement!";
    }
}

# Attempt to clone Phase Ω sigil (quantum state)
original_sigil = unknown_quantum_state()  # |ψ⟩

def attempt_cloning(sigil):
    # Cloning machine: |ψ⟩|0⟩ → |ψ⟩|ψ⟩
    blank_state = |0⟩
    cloned_sigil = apply_cloning_operation(sigil, blank_state)

    if cloned_sigil == sigil:
        print("Sigil cloned successfully!")
        return use_cloned_sigil()
    else:
        print("No-cloning theorem prevents cloning")

attempt_cloning(original_sigil)

import quantum_teleportation as qt

# Setup: Alice and Bob share entangled pair
[epr_alice, epr_bob] = create_entangled_epr_pair()

# Alice has unknown sigil state to teleport
sigil_state = unknown_quantum_state()  # |ψ⟩

# Alice performs Bell measurement
bell_result = bell_measurement(sigil_state, epr_alice)

# Alice sends classical bits to Bob
send_classical(bell_result)

# Bob applies correction based on classical bits
bob_state = apply_correction(epr_bob, bell_result)

# Bob now has |ψ⟩ - sigil teleported!
assert bob_state == sigil_state

# But... where's Bob? How does this authenticate Phase Ω?
access_phase_omega()  # ???

// Quantum Random Number Generator (QRNG)
function generateQuantumRandomSigil() {
    const sigil_length = 256;  // 256-bit sigil
    let sigil = [];

    for (let i = 0; i < sigil_length; i++) {
        // Prepare qubit in superposition: |0⟩ + |1⟩
        const qubit = prepare_superposition();

        // Measure - collapses to 0 or 1 with 50% probability
        const bit = measure(qubit);  // TRUE randomness

        sigil.push(bit);
    }

    // Test if this quantum-random sigil unlocks Phase Ω
    if (test_sigil(sigil)) {
        return sigil;
    } else {
        return generateQuantumRandomSigil();  // Try again
    }
}

# Use quantum computer for exponential speedup
from qiskit import QuantumCircuit, execute

# Create quantum circuit with 50 qubits (quantum supremacy threshold)
qc = QuantumCircuit(50)

# Apply random quantum gates (supremacy experiment)
for i in range(20):
    qc.h(i)  # Hadamard gates
    qc.cx(i, i+1)  # CNOT gates

# Measure
qc.measure_all()

# Execute on quantum computer
result = execute(qc, backend='quantum_computer').result()
counts = result.get_counts()

# Does quantum supremacy output contain Phase Ω sigil?
for bitstring in counts:
    if is_valid_sigil(bitstring):
        print(f"Found sigil: {bitstring}")
        access_phase_omega()