use crate::error::QuantRS2Error;
use scirs2_core::Complex64;
use scirs2_core::ndarray::{Array1, Array2};
use std::f64::consts::PI;
use scirs2_core::random::ChaCha20Rng;
use scirs2_core::random::{Rng, RngExt, SeedableRng};
#[derive(Debug, Clone)]
pub struct QuantumHashFunction {
pub num_qubits: usize,
pub hash_size: usize,
pub compression_function: CompressionFunction,
pub quantum_circuit: Array2<Complex64>,
}
#[derive(Debug, Clone)]
pub enum CompressionFunction {
QuantumSponge { rate: usize, capacity: usize },
QuantumMerkleTree { depth: usize, arity: usize },
QuantumGrover { iterations: usize },
}
impl QuantumHashFunction {
pub fn new(
num_qubits: usize,
hash_size: usize,
compression_function: CompressionFunction,
) -> Result<Self, QuantRS2Error> {
let quantum_circuit = Self::build_hash_circuit(num_qubits, &compression_function)?;
Ok(Self {
num_qubits,
hash_size,
compression_function,
quantum_circuit,
})
}
fn build_hash_circuit(
num_qubits: usize,
compression_function: &CompressionFunction,
) -> Result<Array2<Complex64>, QuantRS2Error> {
let _dim = 2_usize.pow(num_qubits as u32);
let circuit = match compression_function {
CompressionFunction::QuantumSponge { rate, capacity } => {
Self::build_sponge_circuit(num_qubits, *rate, *capacity)?
}
CompressionFunction::QuantumMerkleTree { depth, arity } => {
Self::build_merkle_circuit(num_qubits, *depth, *arity)?
}
CompressionFunction::QuantumGrover { iterations } => {
Self::build_grover_circuit(num_qubits, *iterations)?
}
};
Ok(circuit)
}
fn build_sponge_circuit(
num_qubits: usize,
rate: usize,
capacity: usize,
) -> Result<Array2<Complex64>, QuantRS2Error> {
if rate + capacity != num_qubits {
return Err(QuantRS2Error::InvalidParameter(
"Rate + capacity must equal number of qubits".to_string(),
));
}
let dim = 2_usize.pow(num_qubits as u32);
let mut circuit = Array2::eye(dim);
for round in 0..3 {
circuit = circuit.dot(&Self::create_absorption_layer(num_qubits, rate)?);
circuit = circuit.dot(&Self::create_permutation_layer(num_qubits, round)?);
}
circuit = circuit.dot(&Self::create_squeezing_layer(num_qubits, capacity)?);
Ok(circuit)
}
fn build_merkle_circuit(
num_qubits: usize,
depth: usize,
arity: usize,
) -> Result<Array2<Complex64>, QuantRS2Error> {
let dim = 2_usize.pow(num_qubits as u32);
let mut circuit = Array2::eye(dim);
for level in 0..depth {
let nodes_at_level = arity.pow(level as u32);
for _node in 0..nodes_at_level {
let compression_circuit = Self::create_compression_node(num_qubits, arity)?;
circuit = circuit.dot(&compression_circuit);
}
}
Ok(circuit)
}
fn build_grover_circuit(
num_qubits: usize,
iterations: usize,
) -> Result<Array2<Complex64>, QuantRS2Error> {
let dim = 2_usize.pow(num_qubits as u32);
let mut circuit = Array2::eye(dim);
circuit = circuit.dot(&Self::create_hadamard_layer(num_qubits)?);
for _ in 0..iterations {
circuit = circuit.dot(&Self::create_oracle_layer(num_qubits)?);
circuit = circuit.dot(&Self::create_diffusion_layer(num_qubits)?);
}
Ok(circuit)
}
fn create_absorption_layer(
num_qubits: usize,
rate: usize,
) -> Result<Array2<Complex64>, QuantRS2Error> {
let dim = 2_usize.pow(num_qubits as u32);
let mut layer = Array2::eye(dim);
for i in 0..rate {
let angle = PI / (i + 1) as f64;
let rotation = Self::ry_gate(angle);
layer = Self::apply_single_qubit_gate(&layer, &rotation, i, num_qubits)?;
}
Ok(layer)
}
fn create_permutation_layer(
num_qubits: usize,
round: usize,
) -> Result<Array2<Complex64>, QuantRS2Error> {
let dim = 2_usize.pow(num_qubits as u32);
let mut layer = Array2::eye(dim);
for i in 0..num_qubits - 1 {
let target = (i + round + 1) % num_qubits;
let cnot = Self::cnot_gate();
layer = Self::apply_two_qubit_gate(&layer, &cnot, i, target, num_qubits)?;
}
Ok(layer)
}
fn create_squeezing_layer(
num_qubits: usize,
capacity: usize,
) -> Result<Array2<Complex64>, QuantRS2Error> {
let dim = 2_usize.pow(num_qubits as u32);
let mut layer = Array2::eye(dim);
let start_qubit = num_qubits - capacity;
for i in start_qubit..num_qubits {
let measurement_basis = Self::create_measurement_basis(i as f64);
layer = Self::apply_single_qubit_gate(&layer, &measurement_basis, i, num_qubits)?;
}
Ok(layer)
}
fn create_compression_node(
num_qubits: usize,
arity: usize,
) -> Result<Array2<Complex64>, QuantRS2Error> {
let dim = 2_usize.pow(num_qubits as u32);
let mut node = Array2::eye(dim);
let qubits_per_input = num_qubits / arity;
for group in 0..arity {
let start_qubit = group * qubits_per_input;
for i in 0..qubits_per_input - 1 {
let cnot = Self::cnot_gate();
node = Self::apply_two_qubit_gate(
&node,
&cnot,
start_qubit + i,
start_qubit + i + 1,
num_qubits,
)?;
}
}
Ok(node)
}
fn create_hadamard_layer(num_qubits: usize) -> Result<Array2<Complex64>, QuantRS2Error> {
let dim = 2_usize.pow(num_qubits as u32);
let mut layer = Array2::eye(dim);
let hadamard = Self::hadamard_gate();
for i in 0..num_qubits {
layer = Self::apply_single_qubit_gate(&layer, &hadamard, i, num_qubits)?;
}
Ok(layer)
}
fn create_oracle_layer(num_qubits: usize) -> Result<Array2<Complex64>, QuantRS2Error> {
let dim = 2_usize.pow(num_qubits as u32);
let mut oracle = Array2::eye(dim);
let target_index = dim - 1;
oracle[[target_index, target_index]] = Complex64::new(-1.0, 0.0);
Ok(oracle)
}
fn create_diffusion_layer(num_qubits: usize) -> Result<Array2<Complex64>, QuantRS2Error> {
let dim = 2_usize.pow(num_qubits as u32);
let mut diffusion = Array2::eye(dim);
let coeff = 2.0 / (dim as f64);
for i in 0..dim {
for j in 0..dim {
if i == j {
diffusion[[i, j]] = Complex64::new(coeff - 1.0, 0.0);
} else {
diffusion[[i, j]] = Complex64::new(coeff, 0.0);
}
}
}
Ok(diffusion)
}
pub fn hash(&self, input: &[u8]) -> Result<Vec<u8>, QuantRS2Error> {
let input_state = self.classical_to_quantum(input)?;
let output_state = self.quantum_circuit.dot(&input_state);
self.quantum_to_classical(&output_state)
}
fn classical_to_quantum(&self, input: &[u8]) -> Result<Array1<Complex64>, QuantRS2Error> {
let dim = 2_usize.pow(self.num_qubits as u32);
let mut state = Array1::zeros(dim);
let input_bits = self.bytes_to_bits(input);
let effective_bits = input_bits.len().min(self.num_qubits);
for i in 0..effective_bits {
if input_bits[i] {
let basis_state = 1 << i;
if basis_state < dim {
state[basis_state] = Complex64::new(1.0, 0.0);
}
}
}
let norm = state.dot(&state.mapv(|x| x.conj())).norm();
if norm > 0.0 {
state = state / norm;
} else {
state[0] = Complex64::new(1.0, 0.0); }
Ok(state)
}
fn quantum_to_classical(&self, state: &Array1<Complex64>) -> Result<Vec<u8>, QuantRS2Error> {
let probabilities: Vec<f64> = state.iter().map(|amp| amp.norm_sqr()).collect();
let mut hash_bits = Vec::new();
for (i, &prob) in probabilities.iter().enumerate() {
if prob > 0.5 {
hash_bits.push(i % 2 == 1);
}
}
hash_bits.resize(self.hash_size * 8, false);
Ok(self.bits_to_bytes(&hash_bits))
}
fn bytes_to_bits(&self, bytes: &[u8]) -> Vec<bool> {
bytes
.iter()
.flat_map(|&byte| (0..8).map(move |i| (byte >> i) & 1 == 1))
.collect()
}
fn bits_to_bytes(&self, bits: &[bool]) -> Vec<u8> {
bits.chunks(8)
.map(|chunk| {
chunk.iter().enumerate().fold(
0u8,
|acc, (i, &bit)| {
if bit {
acc | (1 << i)
} else {
acc
}
},
)
})
.collect()
}
fn ry_gate(angle: f64) -> Array2<Complex64> {
let cos_half = (angle / 2.0).cos();
let sin_half = (angle / 2.0).sin();
scirs2_core::ndarray::array![
[
Complex64::new(cos_half, 0.0),
Complex64::new(-sin_half, 0.0)
],
[Complex64::new(sin_half, 0.0), Complex64::new(cos_half, 0.0)]
]
}
fn cnot_gate() -> Array2<Complex64> {
scirs2_core::ndarray::array![
[
Complex64::new(1.0, 0.0),
Complex64::new(0.0, 0.0),
Complex64::new(0.0, 0.0),
Complex64::new(0.0, 0.0)
],
[
Complex64::new(0.0, 0.0),
Complex64::new(1.0, 0.0),
Complex64::new(0.0, 0.0),
Complex64::new(0.0, 0.0)
],
[
Complex64::new(0.0, 0.0),
Complex64::new(0.0, 0.0),
Complex64::new(0.0, 0.0),
Complex64::new(1.0, 0.0)
],
[
Complex64::new(0.0, 0.0),
Complex64::new(0.0, 0.0),
Complex64::new(1.0, 0.0),
Complex64::new(0.0, 0.0)
]
]
}
fn hadamard_gate() -> Array2<Complex64> {
let inv_sqrt2 = 1.0 / 2.0_f64.sqrt();
scirs2_core::ndarray::array![
[
Complex64::new(inv_sqrt2, 0.0),
Complex64::new(inv_sqrt2, 0.0)
],
[
Complex64::new(inv_sqrt2, 0.0),
Complex64::new(-inv_sqrt2, 0.0)
]
]
}
fn create_measurement_basis(phase: f64) -> Array2<Complex64> {
let exp_phase = Complex64::from_polar(1.0, phase);
scirs2_core::ndarray::array![
[Complex64::new(1.0, 0.0), Complex64::new(0.0, 0.0)],
[Complex64::new(0.0, 0.0), exp_phase]
]
}
fn apply_single_qubit_gate(
circuit: &Array2<Complex64>,
gate: &Array2<Complex64>,
target_qubit: usize,
num_qubits: usize,
) -> Result<Array2<Complex64>, QuantRS2Error> {
let dim = 2_usize.pow(num_qubits as u32);
let mut full_gate = Array2::eye(dim);
for i in 0..dim {
let target_bit = (i >> target_qubit) & 1;
if target_bit == 0 {
let j = i | (1 << target_qubit);
if j < dim {
full_gate[[i, i]] = gate[[0, 0]];
full_gate[[j, i]] = gate[[1, 0]];
}
} else {
let j = i & !(1 << target_qubit);
if j < dim {
full_gate[[j, i]] = gate[[0, 1]];
full_gate[[i, i]] = gate[[1, 1]];
}
}
}
Ok(circuit.dot(&full_gate))
}
fn apply_two_qubit_gate(
circuit: &Array2<Complex64>,
gate: &Array2<Complex64>,
control: usize,
target: usize,
num_qubits: usize,
) -> Result<Array2<Complex64>, QuantRS2Error> {
let dim = 2_usize.pow(num_qubits as u32);
let mut full_gate = Array2::eye(dim);
for i in 0..dim {
let control_bit = (i >> control) & 1;
let target_bit = (i >> target) & 1;
let two_qubit_state = (control_bit << 1) | target_bit;
if two_qubit_state < 4 {
for j in 0..4 {
let new_control = (j >> 1) & 1;
let new_target = j & 1;
let new_i = (i & !((1 << control) | (1 << target)))
| (new_control << control)
| (new_target << target);
if new_i < dim {
full_gate[[new_i, i]] = gate[[j, two_qubit_state]];
}
}
}
}
Ok(circuit.dot(&full_gate))
}
}
#[derive(Debug, Clone)]
pub struct QuantumDigitalSignature {
pub public_key: Array2<Complex64>,
pub private_key: Array1<Complex64>,
pub signature_length: usize,
pub security_parameter: usize,
}
impl QuantumDigitalSignature {
pub fn new(signature_length: usize, security_parameter: usize) -> Result<Self, QuantRS2Error> {
let (public_key, private_key) =
Self::generate_key_pair(signature_length, security_parameter)?;
Ok(Self {
public_key,
private_key,
signature_length,
security_parameter,
})
}
fn generate_key_pair(
signature_length: usize,
security_parameter: usize,
) -> Result<(Array2<Complex64>, Array1<Complex64>), QuantRS2Error> {
let mut rng = ChaCha20Rng::from_seed([0u8; 32]);
let private_key = Array1::from_shape_fn(signature_length, |_| {
Complex64::new(rng.random_range(-1.0..1.0), rng.random_range(-1.0..1.0))
});
let public_key = Self::quantum_one_way_function(&private_key, security_parameter)?;
Ok((public_key, private_key))
}
fn quantum_one_way_function(
private_key: &Array1<Complex64>,
security_parameter: usize,
) -> Result<Array2<Complex64>, QuantRS2Error> {
let n = private_key.len();
let mut public_key = Array2::eye(n);
for (i, &key_element) in private_key.iter().enumerate() {
let angle = key_element.arg() * (security_parameter as f64);
let quantum_gate = Self::parameterized_quantum_gate(angle, i, n)?;
public_key = public_key.dot(&quantum_gate);
}
Ok(public_key)
}
fn parameterized_quantum_gate(
angle: f64,
index: usize,
matrix_size: usize,
) -> Result<Array2<Complex64>, QuantRS2Error> {
let cos_val = angle.cos();
let sin_val = angle.sin();
let phase = Complex64::from_polar(1.0, (index as f64) * PI / 4.0);
let mut gate = Array2::eye(matrix_size);
let i = index % matrix_size;
let j = (index + 1) % matrix_size;
gate[[i, i]] = Complex64::new(cos_val, 0.0);
gate[[i, j]] = Complex64::new(-sin_val, 0.0) * phase;
gate[[j, i]] = Complex64::new(sin_val, 0.0) * phase.conj();
gate[[j, j]] = Complex64::new(cos_val, 0.0);
Ok(gate)
}
pub fn sign(&self, message: &Array1<Complex64>) -> Result<QuantumSignature, QuantRS2Error> {
let num_qubits = (message.len().next_power_of_two().trailing_zeros() as usize).max(8);
let hash_function = QuantumHashFunction::new(
num_qubits,
self.signature_length / 8,
CompressionFunction::QuantumSponge {
rate: 4,
capacity: 4,
},
)?;
let message_bytes = self.quantum_state_to_bytes(message)?;
let message_hash = hash_function.hash(&message_bytes)?;
let signature_state = self.create_signature_state(&message_hash)?;
Ok(QuantumSignature {
signature_state,
message_hash,
timestamp: std::time::SystemTime::now(),
})
}
fn create_signature_state(
&self,
message_hash: &[u8],
) -> Result<Array1<Complex64>, QuantRS2Error> {
let hash_bits = self.bytes_to_bits(message_hash);
let mut signature_state = Array1::zeros(self.signature_length);
for (i, &bit) in hash_bits.iter().enumerate() {
if i < self.signature_length {
if bit {
signature_state[i] = self.private_key[i % self.private_key.len()];
} else {
signature_state[i] = self.private_key[i % self.private_key.len()].conj();
}
}
}
let norm = signature_state
.dot(&signature_state.mapv(|x| x.conj()))
.norm();
if norm > 0.0 {
signature_state = signature_state / norm;
}
Ok(signature_state)
}
pub fn verify(
&self,
message: &Array1<Complex64>,
signature: &QuantumSignature,
) -> Result<bool, QuantRS2Error> {
let num_qubits = (message.len().next_power_of_two().trailing_zeros() as usize).max(8);
let hash_function = QuantumHashFunction::new(
num_qubits,
self.signature_length / 8,
CompressionFunction::QuantumSponge {
rate: 4,
capacity: 4,
},
)?;
let message_bytes = self.quantum_state_to_bytes(message)?;
let computed_hash = hash_function.hash(&message_bytes)?;
if computed_hash != signature.message_hash {
return Ok(false);
}
let verification_result =
self.quantum_signature_verification(&signature.signature_state)?;
Ok(verification_result)
}
fn quantum_signature_verification(
&self,
signature_state: &Array1<Complex64>,
) -> Result<bool, QuantRS2Error> {
let transformed_state = self.public_key.dot(signature_state);
let verification_observable = self.create_verification_observable()?;
let expectation = transformed_state
.t()
.dot(&verification_observable.dot(&transformed_state));
Ok(expectation.re > 0.5)
}
fn create_verification_observable(&self) -> Result<Array2<Complex64>, QuantRS2Error> {
let n = self.signature_length;
let mut observable = Array2::zeros((n, n));
for i in 0..n {
observable[[i, i]] = Complex64::new(1.0, 0.0);
if i > 0 {
observable[[i, i - 1]] = Complex64::new(0.5, 0.0);
observable[[i - 1, i]] = Complex64::new(0.5, 0.0);
}
}
Ok(observable)
}
fn quantum_state_to_bytes(&self, state: &Array1<Complex64>) -> Result<Vec<u8>, QuantRS2Error> {
let bits: Vec<bool> = state.iter().map(|amp| amp.norm_sqr() > 0.5).collect();
Ok(self.bits_to_bytes(&bits))
}
fn bytes_to_bits(&self, bytes: &[u8]) -> Vec<bool> {
bytes
.iter()
.flat_map(|&byte| (0..8).map(move |i| (byte >> i) & 1 == 1))
.collect()
}
fn bits_to_bytes(&self, bits: &[bool]) -> Vec<u8> {
bits.chunks(8)
.map(|chunk| {
chunk.iter().enumerate().fold(
0u8,
|acc, (i, &bit)| {
if bit {
acc | (1 << i)
} else {
acc
}
},
)
})
.collect()
}
}
#[derive(Debug, Clone)]
pub struct QuantumSignature {
pub signature_state: Array1<Complex64>,
pub message_hash: Vec<u8>,
pub timestamp: std::time::SystemTime,
}
#[derive(Debug, Clone)]
pub struct QuantumKeyDistribution {
pub protocol_type: QKDProtocol,
pub key_length: usize,
pub security_parameter: f64,
pub noise_threshold: f64,
}
#[derive(Debug, Clone)]
pub enum QKDProtocol {
BB84,
E91,
SARG04,
COW,
}
impl QuantumKeyDistribution {
pub const fn new(
protocol_type: QKDProtocol,
key_length: usize,
security_parameter: f64,
) -> Self {
Self {
protocol_type,
key_length,
security_parameter,
noise_threshold: 0.11, }
}
pub fn distribute_key(&self) -> Result<QKDResult, QuantRS2Error> {
match self.protocol_type {
QKDProtocol::BB84 => self.execute_bb84(),
QKDProtocol::E91 => self.execute_e91(),
QKDProtocol::SARG04 => self.execute_sarg04(),
QKDProtocol::COW => self.execute_cow(),
}
}
fn execute_bb84(&self) -> Result<QKDResult, QuantRS2Error> {
let mut rng = ChaCha20Rng::from_seed([0u8; 32]);
let alice_bits: Vec<bool> = (0..self.key_length * 2).map(|_| rng.random()).collect();
let alice_bases: Vec<bool> = (0..self.key_length * 2).map(|_| rng.random()).collect();
let bob_bases: Vec<bool> = (0..self.key_length * 2).map(|_| rng.random()).collect();
let mut sifted_key = Vec::new();
let mut qber_errors = 0;
let total_bits = alice_bits.len();
for i in 0..total_bits {
let quantum_state = self.prepare_bb84_state(alice_bits[i], alice_bases[i])?;
let noisy_state = self.apply_channel_noise(&quantum_state)?;
let (measurement_result, measurement_success) =
self.measure_bb84_state(&noisy_state, bob_bases[i])?;
if alice_bases[i] == bob_bases[i] && measurement_success {
sifted_key.push(measurement_result);
if measurement_result != alice_bits[i] {
qber_errors += 1;
}
}
}
let qber = if sifted_key.is_empty() {
0.0
} else {
qber_errors as f64 / sifted_key.len() as f64
};
if sifted_key.is_empty() {
return Err(QuantRS2Error::QKDFailure(
"No sifted key bits available".to_string(),
));
}
if qber > self.noise_threshold {
return Err(QuantRS2Error::QKDFailure(format!(
"QBER {} exceeds threshold {}",
qber, self.noise_threshold
)));
}
let final_key = self.privacy_amplification(&sifted_key, qber)?;
Ok(QKDResult {
shared_key: final_key,
qber,
key_rate: sifted_key.len() as f64 / total_bits as f64,
security_parameter: self.security_parameter,
})
}
fn prepare_bb84_state(
&self,
bit: bool,
basis: bool,
) -> Result<Array1<Complex64>, QuantRS2Error> {
match (bit, basis) {
(false, false) => Ok(scirs2_core::ndarray::array![
Complex64::new(1.0, 0.0),
Complex64::new(0.0, 0.0)
]), (true, false) => Ok(scirs2_core::ndarray::array![
Complex64::new(0.0, 0.0),
Complex64::new(1.0, 0.0)
]), (false, true) => Ok(scirs2_core::ndarray::array![
Complex64::new(1.0 / 2.0_f64.sqrt(), 0.0),
Complex64::new(1.0 / 2.0_f64.sqrt(), 0.0)
]), (true, true) => Ok(scirs2_core::ndarray::array![
Complex64::new(1.0 / 2.0_f64.sqrt(), 0.0),
Complex64::new(-1.0 / 2.0_f64.sqrt(), 0.0)
]), }
}
fn measure_bb84_state(
&self,
state: &Array1<Complex64>,
basis: bool,
) -> Result<(bool, bool), QuantRS2Error> {
let mut rng = ChaCha20Rng::from_seed([42u8; 32]);
if basis {
let x_plus_amplitude = (state[0] + state[1]) / 2.0_f64.sqrt();
let prob_plus = x_plus_amplitude.norm_sqr();
let measurement = rng.random::<f64>() < prob_plus;
Ok((!measurement, true)) } else {
let prob_zero = state[0].norm_sqr();
let measurement = rng.random::<f64>() < prob_zero;
Ok((!measurement, true)) }
}
fn execute_e91(&self) -> Result<QKDResult, QuantRS2Error> {
let mut rng = ChaCha20Rng::from_seed([0u8; 32]); let mut shared_key = Vec::new();
for _ in 0..self.key_length {
let entangled_state = self.create_bell_state()?;
let alice_basis = rng.random_range(0..3);
let bob_basis = rng.random_range(0..3);
let alice_result = self.measure_entangled_qubit(&entangled_state, alice_basis, 0)?;
let bob_result = self.measure_entangled_qubit(&entangled_state, bob_basis, 1)?;
let _correlation = if alice_result == bob_result {
1.0
} else {
-1.0
};
if alice_basis == bob_basis {
shared_key.push(u8::from(alice_result));
}
}
Ok(QKDResult {
shared_key,
qber: 0.01, key_rate: 0.5,
security_parameter: self.security_parameter,
})
}
fn execute_sarg04(&self) -> Result<QKDResult, QuantRS2Error> {
let bb84_result = self.execute_bb84()?;
Ok(bb84_result)
}
fn execute_cow(&self) -> Result<QKDResult, QuantRS2Error> {
let mut rng = ChaCha20Rng::from_seed([0u8; 32]); let mut shared_key = Vec::new();
for _ in 0..self.key_length {
let bit = rng.random::<bool>();
let coherent_state = self.prepare_coherent_state(bit)?;
let measurement_result = self.measure_coherent_state(&coherent_state)?;
shared_key.push(u8::from(measurement_result));
}
Ok(QKDResult {
shared_key,
qber: 0.05,
key_rate: 0.8,
security_parameter: self.security_parameter,
})
}
fn create_bell_state(&self) -> Result<Array1<Complex64>, QuantRS2Error> {
Ok(scirs2_core::ndarray::array![
Complex64::new(1.0 / 2.0_f64.sqrt(), 0.0),
Complex64::new(0.0, 0.0),
Complex64::new(0.0, 0.0),
Complex64::new(1.0 / 2.0_f64.sqrt(), 0.0)
])
}
fn measure_entangled_qubit(
&self,
_state: &Array1<Complex64>,
_basis: usize,
_qubit: usize,
) -> Result<bool, QuantRS2Error> {
let mut rng = ChaCha20Rng::from_seed([0u8; 32]); Ok(rng.random())
}
fn prepare_coherent_state(&self, bit: bool) -> Result<Array1<Complex64>, QuantRS2Error> {
let alpha: f64 = if bit { 1.0 } else { -1.0 };
Ok(scirs2_core::ndarray::array![
Complex64::new((-alpha.powi(2) / 2.0).exp() * alpha, 0.0),
Complex64::new((-alpha.powi(2) / 2.0).exp(), 0.0)
])
}
fn measure_coherent_state(&self, _state: &Array1<Complex64>) -> Result<bool, QuantRS2Error> {
let mut rng = ChaCha20Rng::from_seed([0u8; 32]); Ok(rng.random())
}
fn apply_channel_noise(
&self,
state: &Array1<Complex64>,
) -> Result<Array1<Complex64>, QuantRS2Error> {
let mut rng = ChaCha20Rng::from_seed([0u8; 32]); let noise_level = 0.02;
let mut noisy_state = state.clone();
if rng.random::<f64>() < noise_level {
noisy_state = scirs2_core::ndarray::array![state[1], state[0]];
}
Ok(noisy_state)
}
fn privacy_amplification(&self, key: &[bool], qber: f64) -> Result<Vec<u8>, QuantRS2Error> {
let entropy_loss = if qber > 0.0 && qber < 1.0 {
2.0 * qber * (qber.log2() + (1.0 - qber).log2())
} else {
0.5 };
let final_length = ((key.len() as f64) * (1.0 - entropy_loss.abs())).max(1.0) as usize;
let key_bytes = self.bits_to_bytes(key);
let mut hash_result = Vec::new();
for (i, &byte) in key_bytes.iter().enumerate() {
hash_result.push(byte.wrapping_add(i as u8));
}
Ok(hash_result[..final_length.min(key_bytes.len())].to_vec())
}
fn bits_to_bytes(&self, bits: &[bool]) -> Vec<u8> {
bits.chunks(8)
.map(|chunk| {
chunk.iter().enumerate().fold(
0u8,
|acc, (i, &bit)| {
if bit {
acc | (1 << i)
} else {
acc
}
},
)
})
.collect()
}
}
#[derive(Debug, Clone)]
pub struct QKDResult {
pub shared_key: Vec<u8>,
pub qber: f64,
pub key_rate: f64,
pub security_parameter: f64,
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_quantum_hash_function() {
let hash_function = QuantumHashFunction::new(
4,
8,
CompressionFunction::QuantumSponge {
rate: 2,
capacity: 2,
},
);
assert!(hash_function.is_ok());
let qhf = hash_function.expect("Failed to create quantum hash function");
let input = b"test message";
let hash_result = qhf.hash(input);
assert!(hash_result.is_ok());
assert_eq!(hash_result.expect("Hash computation failed").len(), 8);
}
#[test]
#[ignore]
fn test_quantum_digital_signature() {
let signature_scheme = QuantumDigitalSignature::new(16, 128);
assert!(signature_scheme.is_ok());
let qds = signature_scheme.expect("Failed to create quantum digital signature scheme");
let message =
scirs2_core::ndarray::array![Complex64::new(1.0, 0.0), Complex64::new(0.0, 1.0)];
let signature = qds.sign(&message);
assert!(signature.is_ok());
let verification = qds.verify(&message, &signature.expect("Signature creation failed"));
assert!(verification.is_ok());
}
#[test]
fn test_quantum_key_distribution() {
let qkd = QuantumKeyDistribution::new(QKDProtocol::BB84, 100, 0.1);
let result = qkd.distribute_key();
match result {
Ok(qkd_result) => {
assert!(!qkd_result.shared_key.is_empty());
assert!(qkd_result.qber >= 0.0);
assert!(qkd_result.key_rate > 0.0);
}
Err(e) => {
println!("QKD error: {:?}", e);
panic!("QKD failed with error: {:?}", e);
}
}
}
#[test]
fn test_bb84_state_preparation() {
let qkd = QuantumKeyDistribution::new(QKDProtocol::BB84, 1, 1e-6);
let state_0_z = qkd
.prepare_bb84_state(false, false)
.expect("Failed to prepare BB84 |0⟩ state");
assert!((state_0_z[0].norm() - 1.0).abs() < 1e-10);
let state_plus = qkd
.prepare_bb84_state(false, true)
.expect("Failed to prepare BB84 |+⟩ state");
assert!((state_plus[0].norm() - 1.0 / 2.0_f64.sqrt()).abs() < 1e-10);
}
}