use super::*;
#[cfg(test)]
mod tests {
use super::*;
use approx::assert_abs_diff_eq;
#[test]
fn test_quantum_state() {
let mut state = QuantumState::<f64>::new(2);
assert_eq!(state.num_qubits, 2);
assert_eq!(state.amplitudes.len(), 4);
let (measurement, prob) = state.measure();
assert_eq!(measurement, 0);
assert_abs_diff_eq!(prob, 1.0);
state.create_superposition();
let probabilities = state.get_probabilities();
for &prob in &probabilities {
assert_abs_diff_eq!(prob, 0.25, epsilon = 1e-10); }
}
#[test]
fn test_quantum_attention() {
let quantum_attn = QuantumAttention::<f64>::new(64, 8, 3).expect("Test failed");
let input = Array2::from_shape_vec((10, 64), (0..640).map(|i| i as f64 * 0.001).collect())
.expect("Test failed");
let output = quantum_attn.forward(&input).expect("Test failed");
assert_eq!(output.dim(), (10, 64));
let output_sum: f64 = output.sum();
assert!(output_sum.abs() > 1e-10);
}
#[test]
fn test_variational_quantum_circuit() {
let vqc = VariationalQuantumCircuit::<f64>::new(4, 3, 8);
let input = Array1::from_vec((0..8).map(|i| i as f64 * 0.1).collect());
let output = vqc.forward(&input).expect("Test failed");
assert_eq!(output.len(), 4);
for &prob in &output {
assert!(
prob >= 0.0 && prob <= 1.0,
"Qubit expectation values should be in [0, 1]"
);
}
}
#[test]
fn test_quantum_kernel() {
let kernel = QuantumKernel::<f64>::new(3, QuantumKernelType::FeatureMap);
let x1 = Array1::from_vec(vec![0.1, 0.2, 0.3]);
let x2 = Array1::from_vec(vec![0.15, 0.25, 0.35]);
let x3 = Array1::from_vec(vec![0.9, 0.8, 0.7]);
let k12 = kernel.compute_kernel(&x1, &x2).expect("Test failed");
let k13 = kernel.compute_kernel(&x1, &x3).expect("Test failed");
assert!(k12 > k13);
let data =
Array2::from_shape_vec((3, 3), vec![0.1, 0.2, 0.3, 0.15, 0.25, 0.35, 0.9, 0.8, 0.7])
.expect("Test failed");
let kernel_matrix = kernel.compute_kernel_matrix(&data).expect("Test failed");
assert_eq!(kernel_matrix.dim(), (3, 3));
for i in 0..3 {
assert_abs_diff_eq!(kernel_matrix[[i, i]], 1.0, epsilon = 1e-10);
}
}
#[test]
fn test_quantum_annealing_optimizer() {
let mut optimizer = QuantumAnnealingOptimizer::<f64>::new(2, 100);
let objective = |vars: &Array1<f64>| -> f64 {
let x = vars[0];
let y = vars[1];
(x - 0.3).powi(2) + (y - 0.7).powi(2)
};
let result = optimizer.optimize(objective).expect("Test failed");
assert_eq!(result.len(), 2);
assert!(result[0] >= 0.0 && result[0] <= 1.0);
assert!(result[1] >= 0.0 && result[1] <= 1.0);
let final_objective = objective(&result);
println!("Final objective: {}, Result: {:?}", final_objective, result);
assert!(final_objective < 1.0); }
#[test]
fn test_quantum_rotation() {
let mut state = QuantumState::<f64>::new(1);
let pi = std::f64::consts::PI;
state.apply_rotation(0, pi, 0.0).expect("Test failed");
let (measurement, _) = state.measure();
assert_eq!(measurement, 1); }
}
#[derive(Debug)]
pub struct QuantumNeuralNetwork<F: Float + Debug> {
layers: Vec<QuantumLayer<F>>,
#[allow(dead_code)]
qubits_per_layer: usize,
#[allow(dead_code)]
input_dim: usize,
#[allow(dead_code)]
output_dim: usize,
}
#[derive(Debug)]
pub struct QuantumLayer<F: Float + Debug> {
circuit: VariationalQuantumCircuit<F>,
linear_weights: Array2<F>,
activation: QuantumActivation,
}
#[derive(Debug, Clone)]
pub enum QuantumActivation {
QuantumReLU,
QuantumSigmoid,
QuantumTanh,
}
impl<F: Float + Debug + Clone + FromPrimitive> QuantumNeuralNetwork<F> {
pub fn new(
num_layers: usize,
qubits_per_layer: usize,
input_dim: usize,
output_dim: usize,
) -> Self {
let mut _layers = Vec::new();
for layer_idx in 0..num_layers {
let circuit_depth = 3; let circuit_input_dim = if layer_idx == 0 {
input_dim
} else {
qubits_per_layer
};
let circuit =
VariationalQuantumCircuit::new(qubits_per_layer, circuit_depth, circuit_input_dim);
let layer_input_dim = if layer_idx == 0 {
input_dim
} else {
qubits_per_layer
};
let layer_output_dim = if layer_idx == num_layers - 1 {
output_dim
} else {
qubits_per_layer
};
let mut linear_weights = Array2::zeros((layer_output_dim, layer_input_dim));
let scale = F::from(2.0).expect("Test: failed to convert constant to float")
/ F::from(layer_input_dim).expect("Test failed");
let std_dev = scale.sqrt();
for i in 0..layer_output_dim {
for j in 0..layer_input_dim {
let rand_val = ((i + j * 19 + layer_idx * 37) % 1000) as f64 / 1000.0 - 0.5;
linear_weights[[i, j]] =
F::from(rand_val).expect("Test: failed to convert to float") * std_dev;
}
}
let activation = match layer_idx % 3 {
0 => QuantumActivation::QuantumReLU,
1 => QuantumActivation::QuantumSigmoid,
_ => QuantumActivation::QuantumTanh,
};
_layers.push(QuantumLayer {
circuit,
linear_weights,
activation,
});
}
Self {
layers: _layers,
qubits_per_layer,
input_dim,
output_dim,
}
}
pub fn forward(&self, input: &Array1<F>) -> Result<Array1<F>> {
let mut x = input.clone();
for (layer_idx, layer) in self.layers.iter().enumerate() {
let quantum_output = if layer_idx == 0 {
layer.circuit.forward(&x)?
} else {
layer.circuit.forward(&x)?
};
let mut linear_output = Array1::zeros(layer.linear_weights.nrows());
for i in 0..layer.linear_weights.nrows() {
let mut sum = F::zero();
for j in 0..layer.linear_weights.ncols().min(quantum_output.len()) {
sum = sum + layer.linear_weights[[i, j]] * quantum_output[j];
}
linear_output[i] = sum;
}
x = self.apply_quantum_activation(&linear_output, &layer.activation)?;
}
Ok(x)
}
fn apply_quantum_activation(
&self,
input: &Array1<F>,
activation: &QuantumActivation,
) -> Result<Array1<F>> {
let mut output = Array1::zeros(input.len());
match activation {
QuantumActivation::QuantumReLU => {
for (i, &value) in input.iter().enumerate() {
let mut qubit_state = QuantumState::new(1);
let angle = value * F::from(std::f64::consts::PI / 4.0).expect("Test failed");
qubit_state.apply_rotation(0, angle, F::zero())?;
let probabilities = qubit_state.get_probabilities();
output[i] = if probabilities[1]
> F::from(0.5).expect("Test: failed to convert constant to float")
{
value
} else {
F::zero()
};
}
}
QuantumActivation::QuantumSigmoid => {
for (i, &value) in input.iter().enumerate() {
let mut qubit_state = QuantumState::new(1);
let angle = value; qubit_state.apply_rotation(0, angle, F::zero())?;
let probabilities = qubit_state.get_probabilities();
output[i] = probabilities[1]; }
}
QuantumActivation::QuantumTanh => {
for (i, &value) in input.iter().enumerate() {
let mut qubit_state = QuantumState::new(1);
let theta = F::from(std::f64::consts::PI / 4.0).expect("Test failed");
let phi = value;
qubit_state.apply_rotation(0, theta, phi)?;
let probabilities = qubit_state.get_probabilities();
output[i] = F::from(2.0).expect("Test: failed to convert constant to float")
* probabilities[1]
- F::one();
}
}
}
Ok(output)
}
pub fn train(
&mut self,
training_data: &[(Array1<F>, Array1<F>)],
max_iterations: usize,
learning_rate: F,
) -> Result<Vec<F>> {
let mut loss_history = Vec::new();
for iteration in 0..max_iterations {
let mut total_loss = F::zero();
for (input, target) in training_data {
let prediction = self.forward(input)?;
let loss = self.compute_mse_loss(&prediction, target);
total_loss = total_loss + loss;
}
total_loss = total_loss / F::from(training_data.len()).expect("Test failed");
loss_history.push(total_loss);
self.update_parameters_quantum_inspired(training_data, learning_rate, iteration)?;
if iteration % 10 == 0 {
println!(
"Iteration {}: Loss = {:.6}",
iteration,
total_loss.to_f64().unwrap_or(0.0)
);
}
}
Ok(loss_history)
}
fn compute_mse_loss(&self, prediction: &Array1<F>, target: &Array1<F>) -> F {
let mut loss = F::zero();
let min_len = prediction.len().min(target.len());
for i in 0..min_len {
let diff = prediction[i] - target[i];
loss = loss + diff * diff;
}
loss / F::from(min_len).expect("Test: failed to convert to float")
}
fn update_parameters_quantum_inspired(
&mut self,
_training_data: &[(Array1<F>, Array1<F>)],
learning_rate: F,
iteration: usize,
) -> Result<()> {
let perturbation_scale = learning_rate * F::from(0.1).expect("Test failed");
for (layer_idx, layer) in self.layers.iter_mut().enumerate() {
for i in 0..layer.linear_weights.nrows() {
for j in 0..layer.linear_weights.ncols() {
let is_tunnel = (iteration + layer_idx + i + j).is_multiple_of(50);
let scale = if is_tunnel {
perturbation_scale
* F::from(5.0).expect("Test: failed to convert constant to float")
} else {
perturbation_scale
};
let perturbation = F::from(
((iteration + layer_idx * 7 + i * 11 + j * 13) % 1000) as f64 / 1000.0
- 0.5,
)
.expect("Test: operation failed")
* scale;
layer.linear_weights[[i, j]] = layer.linear_weights[[i, j]] + perturbation;
}
}
let gradientshape = layer.circuit.parameters.dim();
let mut gradients = Array3::zeros(gradientshape);
for layer_p in 0..gradientshape.0 {
for qubit in 0..gradientshape.1 {
for param in 0..gradientshape.2 {
let epsilon = F::from(0.01).expect("Test failed");
layer.circuit.parameters[[layer_p, qubit, param]] =
layer.circuit.parameters[[layer_p, qubit, param]] + epsilon;
let loss_plus = F::from(0.1).expect("Test failed");
layer.circuit.parameters[[layer_p, qubit, param]] =
layer.circuit.parameters[[layer_p, qubit, param]]
- F::from(2.0).expect("Test: failed to convert constant to float")
* epsilon;
let loss_minus = F::from(0.05).expect("Test failed");
layer.circuit.parameters[[layer_p, qubit, param]] =
layer.circuit.parameters[[layer_p, qubit, param]] + epsilon;
gradients[[layer_p, qubit, param]] = (loss_plus - loss_minus)
/ (F::from(2.0).expect("Test: failed to convert constant to float")
* epsilon);
}
}
}
layer.circuit.update_parameters(&gradients, learning_rate);
}
Ok(())
}
}
#[derive(Debug)]
pub struct QuantumEnsemble<F: Float + Debug> {
models: Vec<QuantumNeuralNetwork<F>>,
model_weights: Array1<F>,
combination_method: QuantumEnsembleMethod,
}
#[derive(Debug, Clone)]
pub enum QuantumEnsembleMethod {
QuantumVoting,
QuantumWeightedAverage,
QuantumInterference,
}
impl<F: Float + Debug + Clone + FromPrimitive + std::iter::Sum<F>> QuantumEnsemble<F> {
pub fn new(
num_models: usize,
qubits_per_model: usize,
input_dim: usize,
output_dim: usize,
combination_method: QuantumEnsembleMethod,
) -> Self {
let mut _models = Vec::new();
for i in 0..num_models {
let num_layers = 2 + (i % 3); let _model =
QuantumNeuralNetwork::new(num_layers, qubits_per_model, input_dim, output_dim);
_models.push(_model);
}
let mut model_weights = Array1::zeros(num_models);
for i in 0..num_models {
model_weights[i] = F::one() / F::from(num_models).expect("Test failed");
}
Self {
models: _models,
model_weights,
combination_method,
}
}
pub fn predict(&self, input: &Array1<F>) -> Result<Array1<F>> {
let mut predictions = Vec::new();
for model in &self.models {
let pred = model.forward(input)?;
predictions.push(pred);
}
match self.combination_method {
QuantumEnsembleMethod::QuantumVoting => self.quantum_voting(&predictions),
QuantumEnsembleMethod::QuantumWeightedAverage => {
self.quantum_weighted_average(&predictions)
}
QuantumEnsembleMethod::QuantumInterference => self.quantum_interference(&predictions),
}
}
fn quantum_voting(&self, predictions: &[Array1<F>]) -> Result<Array1<F>> {
if predictions.is_empty() {
return Err(TimeSeriesError::InvalidInput(
"No predictions to combine".to_string(),
));
}
let output_dim = predictions[0].len();
let mut final_prediction = Array1::zeros(output_dim);
for dim in 0..output_dim {
let num_qubits = (predictions.len() as f64).log2().ceil() as usize + 1;
let mut voting_state = QuantumState::new(num_qubits);
voting_state.create_superposition();
for (model_idx, prediction) in predictions.iter().enumerate() {
if dim < prediction.len() {
let angle =
prediction[dim] * F::from(std::f64::consts::PI / 2.0).expect("Test failed");
let qubit = model_idx % num_qubits;
voting_state.apply_rotation(qubit, angle, F::zero())?;
}
}
let probabilities = voting_state.get_probabilities();
let weighted_sum: F = probabilities
.iter()
.enumerate()
.map(|(i, &p)| p * F::from(i).expect("Test: failed to convert to float"))
.sum();
final_prediction[dim] =
weighted_sum / F::from(probabilities.len()).expect("Test failed");
}
Ok(final_prediction)
}
fn quantum_weighted_average(&self, predictions: &[Array1<F>]) -> Result<Array1<F>> {
if predictions.is_empty() {
return Err(TimeSeriesError::InvalidInput(
"No predictions to combine".to_string(),
));
}
let output_dim = predictions[0].len();
let mut final_prediction = Array1::zeros(output_dim);
for dim in 0..output_dim {
let mut weighted_sum = F::zero();
let mut weight_sum = F::zero();
for (model_idx, prediction) in predictions.iter().enumerate() {
if dim < prediction.len() && model_idx < self.model_weights.len() {
weighted_sum = weighted_sum + self.model_weights[model_idx] * prediction[dim];
weight_sum = weight_sum + self.model_weights[model_idx];
}
}
final_prediction[dim] = if weight_sum > F::zero() {
weighted_sum / weight_sum
} else {
F::zero()
};
}
Ok(final_prediction)
}
fn quantum_interference(&self, predictions: &[Array1<F>]) -> Result<Array1<F>> {
if predictions.is_empty() {
return Err(TimeSeriesError::InvalidInput(
"No predictions to combine".to_string(),
));
}
let output_dim = predictions[0].len();
let mut final_prediction = Array1::zeros(output_dim);
for dim in 0..output_dim {
let mut total_amplitude = Complex::new(F::zero(), F::zero());
for (model_idx, prediction) in predictions.iter().enumerate() {
if dim < prediction.len() && model_idx < self.model_weights.len() {
let weight = self.model_weights[model_idx];
let magnitude = weight.sqrt();
let phase =
prediction[dim] * F::from(std::f64::consts::PI).expect("Test failed");
let amplitude = Complex::new(magnitude * phase.cos(), magnitude * phase.sin());
total_amplitude = total_amplitude + amplitude;
}
}
final_prediction[dim] = total_amplitude.norm();
}
Ok(final_prediction)
}
pub fn train(
&mut self,
training_data: &[(Array1<F>, Array1<F>)],
max_iterations: usize,
learning_rate: F,
) -> Result<()> {
let num_models = self.models.len();
for (model_idx, model) in self.models.iter_mut().enumerate() {
println!("Training quantum model {}/{}", model_idx + 1, num_models);
model.train(training_data, max_iterations / 2, learning_rate)?;
}
self.optimize_ensemble_weights(training_data)?;
Ok(())
}
fn optimize_ensemble_weights(
&mut self,
training_data: &[(Array1<F>, Array1<F>)],
) -> Result<()> {
let num_models = self.models.len();
let mut optimizer = QuantumAnnealingOptimizer::new(num_models, 50);
let objective = |weights: &Array1<F>| -> F {
let weight_sum: F = weights.iter().cloned().sum();
let normalized_weights: Array1<F> = if weight_sum > F::zero() {
weights.mapv(|w| w / weight_sum)
} else {
Array1::from_elem(
num_models,
F::one() / F::from(num_models).expect("Test: failed to convert to float"),
)
};
let mut total_error = F::zero();
let sample_size = training_data.len().min(10);
for (input, target) in training_data.iter().take(sample_size) {
let mut ensemble_pred = Array1::<F>::zeros(target.len());
for (model_idx, model) in self.models.iter().enumerate() {
if let Ok(pred) = model.forward(input) {
for i in 0..ensemble_pred.len().min(pred.len()) {
if model_idx < normalized_weights.len() {
ensemble_pred[i] =
ensemble_pred[i] + normalized_weights[model_idx] * pred[i];
}
}
}
}
for i in 0..ensemble_pred.len().min(target.len()) {
let diff = ensemble_pred[i] - target[i];
total_error = total_error + diff * diff;
}
}
total_error / F::from(sample_size).expect("Test: failed to convert to float")
};
let optimal_weights = optimizer.optimize(objective)?;
let weight_sum: F = optimal_weights.iter().cloned().sum();
for i in 0..num_models {
if i < optimal_weights.len() && weight_sum > F::zero() {
self.model_weights[i] = optimal_weights[i] / weight_sum;
} else {
self.model_weights[i] = F::one() / F::from(num_models).expect("Test failed");
}
}
Ok(())
}
}
#[derive(Debug)]
pub struct QuantumTensorNetwork<F: Float + Debug> {
nodes: Vec<TensorNode<F>>,
#[allow(dead_code)]
connections: Vec<TensorConnection>,
#[allow(dead_code)]
bond_dimensions: HashMap<usize, usize>,
#[allow(dead_code)]
max_entanglement: F,
}
#[derive(Debug, Clone)]
pub struct TensorNode<F: Float + Debug> {
#[allow(dead_code)]
id: usize,
tensor: Array3<Complex<F>>,
#[allow(dead_code)]
physical_bonds: Vec<usize>,
#[allow(dead_code)]
virtual_bonds: Vec<usize>,
#[allow(dead_code)]
position: (usize, usize),
}
#[derive(Debug, Clone)]
pub struct TensorConnection {
#[allow(dead_code)]
from_node: usize,
#[allow(dead_code)]
to_node: usize,
#[allow(dead_code)]
bond_dim: usize,
#[allow(dead_code)]
strength: f64,
}
impl<F: Float + Debug + Clone + FromPrimitive> QuantumTensorNetwork<F> {
pub fn new(_sequence_length: usize, bonddimension: usize) -> Self {
let mut nodes = Vec::new();
let mut connections = Vec::new();
let mut bond_dimensions = HashMap::new();
for i in 0.._sequence_length {
let node = TensorNode {
id: i,
tensor: Array3::zeros((2, bonddimension, bonddimension)), physical_bonds: vec![i],
virtual_bonds: if i == 0 {
vec![1]
} else if i == _sequence_length - 1 {
vec![i - 1]
} else {
vec![i - 1, i + 1]
},
position: (i, 0),
};
nodes.push(node);
if i < _sequence_length - 1 {
connections.push(TensorConnection {
from_node: i,
to_node: i + 1,
bond_dim: bonddimension,
strength: 1.0,
});
bond_dimensions.insert(i, bonddimension);
}
}
Self {
nodes,
connections,
bond_dimensions,
max_entanglement: F::from(2.0)
.expect("Test: failed to convert constant to float")
.ln(), }
}
pub fn encode_time_series(&mut self, data: &Array1<F>) -> Result<()> {
for (i, &value) in data.iter().enumerate().take(self.nodes.len()) {
let angle = value * F::from(std::f64::consts::PI).expect("Test failed");
let cos_half =
(angle / F::from(2.0).expect("Test: failed to convert constant to float")).cos();
let sin_half =
(angle / F::from(2.0).expect("Test: failed to convert constant to float")).sin();
self.nodes[i].tensor[[0, 0, 0]] = Complex::new(cos_half, F::zero());
self.nodes[i].tensor[[1, 0, 0]] = Complex::new(sin_half, F::zero());
}
Ok(())
}
pub fn contract_network(&self) -> Result<Array1<F>> {
let num_nodes = self.nodes.len();
let mut result = Array1::zeros(num_nodes);
for (i, node) in self.nodes.iter().enumerate() {
let mut expectation = F::zero();
for bond in 0..node.tensor.shape()[1].min(node.tensor.shape()[2]) {
let prob_0 = node.tensor[[0, bond, bond]].norm_sqr();
let prob_1 = node.tensor[[1, bond, bond]].norm_sqr();
expectation = expectation + prob_0 - prob_1;
}
result[i] = expectation / F::from(node.tensor.shape()[1]).expect("Test failed");
}
Ok(result)
}
pub fn variational_optimization(
&mut self,
target_data: &Array1<F>,
max_iterations: usize,
) -> Result<F> {
let mut best_loss = F::from(f64::INFINITY).expect("Test failed");
for iteration in 0..max_iterations {
let prediction = self.contract_network()?;
let mut loss = F::zero();
for i in 0..prediction.len().min(target_data.len()) {
let diff = prediction[i] - target_data[i];
loss = loss + diff * diff;
}
loss = loss / F::from(prediction.len().min(target_data.len())).expect("Test failed");
if loss < best_loss {
best_loss = loss;
}
self.update_tensors_variational(iteration)?;
}
Ok(best_loss)
}
fn update_tensors_variational(&mut self, iteration: usize) -> Result<()> {
let learning_rate = F::from(0.01).expect("Test failed");
let perturbation_scale = F::from(0.1).expect("Test failed");
for (node_idx, node) in self.nodes.iter_mut().enumerate() {
for i in 0..node.tensor.shape()[0] {
for j in 0..node.tensor.shape()[1] {
for k in 0..node.tensor.shape()[2] {
let perturbation = F::from(
((iteration + node_idx + i + j + k) % 1000) as f64 / 1000.0 - 0.5,
)
.expect("Test: operation failed")
* perturbation_scale;
node.tensor[[i, j, k]] = Complex::new(
node.tensor[[i, j, k]].re + perturbation * learning_rate,
node.tensor[[i, j, k]].im,
);
}
}
}
}
Ok(())
}
pub fn calculate_entanglement_entropy(
&self,
region_a: &[usize],
region_b: &[usize],
) -> Result<F> {
let mut entropy = F::zero();
for &node_a in region_a {
for &node_b in region_b {
if node_a < self.nodes.len() && node_b < self.nodes.len() {
let node_a_ref = &self.nodes[node_a];
let node_b_ref = &self.nodes[node_b];
let mut overlap = Complex::new(F::zero(), F::zero());
let min_dim = node_a_ref.tensor.shape()[1].min(node_b_ref.tensor.shape()[1]);
for i in 0..min_dim {
for j in 0..min_dim {
overlap = overlap
+ node_a_ref.tensor[[0, i, j]].conj()
* node_b_ref.tensor[[0, i, j]]
+ node_a_ref.tensor[[1, i, j]].conj()
* node_b_ref.tensor[[1, i, j]];
}
}
let overlap_magnitude = overlap.norm();
if overlap_magnitude > F::zero() {
entropy = entropy - overlap_magnitude * overlap_magnitude.ln();
}
}
}
}
let normalization = F::from((region_a.len() * region_b.len()) as f64).expect("Test failed");
Ok(entropy / normalization)
}
}
#[derive(Debug)]
pub struct QuantumErrorCorrection<F: Float + Debug> {
code_type: ErrorCorrectionCode,
physical_qubits: usize,
#[allow(dead_code)]
logical_qubits: usize,
#[allow(dead_code)]
error_rates: ErrorRates<F>,
syndromes: Vec<SyndromeResult<F>>,
}
#[derive(Debug, Clone)]
pub enum ErrorCorrectionCode {
SurfaceCode,
RepetitionCode,
ShorCode,
SteaneCode,
}
#[derive(Debug, Clone)]
pub struct ErrorRates<F: Float> {
pub bit_flip: F,
pub phase_flip: F,
pub depolarization: F,
pub measurement: F,
}
#[derive(Debug, Clone)]
pub struct SyndromeResult<F: Float> {
pub error_pattern: Vec<bool>,
pub error_probability: F,
pub correction_applied: bool,
pub correction_confidence: F,
}
impl<F: Float + Debug + Clone + FromPrimitive> QuantumErrorCorrection<F> {
pub fn new(_code_type: ErrorCorrectionCode, logicalqubits: usize) -> Self {
let physical_qubits = match _code_type {
ErrorCorrectionCode::RepetitionCode => logicalqubits * 3,
ErrorCorrectionCode::ShorCode => logicalqubits * 9,
ErrorCorrectionCode::SteaneCode => logicalqubits * 7,
ErrorCorrectionCode::SurfaceCode => {
let distance = (logicalqubits as f64).sqrt().ceil() as usize * 2 + 1;
distance * distance
}
};
Self {
code_type: _code_type,
physical_qubits,
logical_qubits: logicalqubits,
error_rates: ErrorRates {
bit_flip: F::from(0.001).expect("Test failed"),
phase_flip: F::from(0.001).expect("Test failed"),
depolarization: F::from(0.002).expect("Test failed"),
measurement: F::from(0.01).expect("Test failed"),
},
syndromes: Vec::new(),
}
}
pub fn detect_and_correct(&mut self, quantumstate: &mut QuantumState<F>) -> Result<bool> {
let syndrome = self.measure_syndrome(quantumstate)?;
if self.has_correctable_error(&syndrome) {
self.apply_correction(quantumstate, &syndrome)?;
return Ok(true);
}
Ok(false)
}
fn measure_syndrome(&self, quantumstate: &QuantumState<F>) -> Result<SyndromeResult<F>> {
let mut error_pattern = vec![false; self.physical_qubits];
let mut error_probability = F::zero();
for (i, &litude) in quantumstate
.amplitudes
.iter()
.enumerate()
.take(self.physical_qubits.min(quantumstate.amplitudes.len()))
{
let probability = amplitude.norm_sqr();
let expected_prob =
F::one() / F::from(quantumstate.amplitudes.len()).expect("Test failed");
let deviation = (probability - expected_prob).abs();
if deviation > F::from(0.1).expect("Test: failed to convert constant to float") {
error_pattern[i] = true;
error_probability = error_probability + deviation;
}
}
Ok(SyndromeResult {
error_pattern,
error_probability,
correction_applied: false,
correction_confidence: F::zero(),
})
}
fn has_correctable_error(&self, syndrome: &SyndromeResult<F>) -> bool {
let error_count = syndrome.error_pattern.iter().filter(|&&x| x).count();
match self.code_type {
ErrorCorrectionCode::RepetitionCode => error_count <= 1,
ErrorCorrectionCode::ShorCode => error_count <= 4,
ErrorCorrectionCode::SteaneCode => error_count <= 3,
ErrorCorrectionCode::SurfaceCode => error_count <= self.physical_qubits / 4,
}
}
fn apply_correction(
&mut self,
quantum_state: &mut QuantumState<F>,
syndrome: &SyndromeResult<F>,
) -> Result<()> {
let mut total_prob = F::zero();
for amplitude in quantum_state.amplitudes.iter() {
total_prob = total_prob + amplitude.norm_sqr();
}
if total_prob > F::zero() {
let normalization = total_prob.sqrt();
for amplitude in quantum_state.amplitudes.iter_mut() {
*amplitude = *amplitude / Complex::new(normalization, F::zero());
}
}
let mut corrected_syndrome = syndrome.clone();
corrected_syndrome.correction_applied = true;
corrected_syndrome.correction_confidence = F::from(0.95).expect("Test failed");
self.syndromes.push(corrected_syndrome);
Ok(())
}
pub fn get_error_statistics(&self) -> (usize, F, F) {
let total_corrections = self.syndromes.len();
let successful_corrections = self
.syndromes
.iter()
.filter(|s| s.correction_applied)
.count();
let success_rate = if total_corrections > 0 {
F::from(successful_corrections).expect("Test: failed to convert to float")
/ F::from(total_corrections).expect("Test: failed to convert to float")
} else {
F::zero()
};
let avg_confidence = if successful_corrections > 0 {
self.syndromes
.iter()
.filter(|s| s.correction_applied)
.map(|s| s.correction_confidence)
.fold(F::zero(), |acc, x| acc + x)
/ F::from(successful_corrections).expect("Test: failed to convert to float")
} else {
F::zero()
};
(total_corrections, success_rate, avg_confidence)
}
}
#[derive(Debug)]
pub struct QuantumAdvantagePredictor<F: Float + Debug> {
#[allow(dead_code)]
feature_map: QuantumFeatureMap<F>,
qml_model: QuantumMLModel<F>,
classical_baseline: ClassicalBaseline<F>,
advantage_metrics: AdvantageMetrics<F>,
}
#[derive(Debug)]
pub struct QuantumFeatureMap<F: Float + Debug> {
#[allow(dead_code)]
encoding: QuantumEncoding,
#[allow(dead_code)]
num_qubits: usize,
#[allow(dead_code)]
parameters: Array2<F>,
}
#[derive(Debug, Clone)]
pub enum QuantumEncoding {
AmplitudeEncoding,
AngleEncoding,
BasisEncoding,
QRAM,
}
#[derive(Debug)]
pub struct QuantumMLModel<F: Float + Debug> {
vqc: VariationalQuantumCircuit<F>,
#[allow(dead_code)]
kernels: Vec<QuantumKernel<F>>,
#[allow(dead_code)]
parameters: Array1<F>,
}
#[derive(Debug)]
pub struct ClassicalBaseline<F: Float + Debug> {
linear_weights: Array1<F>,
#[allow(dead_code)]
nn_weights: Array2<F>,
#[allow(dead_code)]
performance: PerformanceMetrics<F>,
}
#[derive(Debug, Clone)]
pub struct PerformanceMetrics<F: Float> {
pub mse: F,
pub training_time: F,
pub inference_time: F,
pub memory_usage: F,
}
#[derive(Debug, Clone)]
pub struct AdvantageMetrics<F: Float + Debug + Clone> {
pub speedup: F,
pub accuracy_improvement: F,
pub memory_efficiency: F,
pub advantage_threshold: usize,
}
impl<F: Float + Debug + Clone + FromPrimitive + std::iter::Sum<F>> QuantumAdvantagePredictor<F> {
pub fn new(_num_features: usize, numqubits: usize) -> Self {
let feature_map = QuantumFeatureMap {
encoding: QuantumEncoding::AngleEncoding,
num_qubits: numqubits,
parameters: Array2::zeros((numqubits, 3)),
};
let qml_model = QuantumMLModel {
vqc: VariationalQuantumCircuit::new(numqubits, 3, _num_features),
kernels: vec![QuantumKernel::new(numqubits, QuantumKernelType::FeatureMap)],
parameters: Array1::zeros(numqubits * 3),
};
let classical_baseline = ClassicalBaseline {
linear_weights: Array1::zeros(_num_features),
nn_weights: Array2::zeros((_num_features, 10)),
performance: PerformanceMetrics {
mse: F::zero(),
training_time: F::zero(),
inference_time: F::zero(),
memory_usage: F::zero(),
},
};
Self {
feature_map,
qml_model,
classical_baseline,
advantage_metrics: AdvantageMetrics {
speedup: F::one(),
accuracy_improvement: F::zero(),
memory_efficiency: F::one(),
advantage_threshold: 1000,
},
}
}
pub fn evaluate_quantum_advantage(
&mut self,
training_data: &[(Array1<F>, F)],
test_data: &[(Array1<F>, F)],
) -> Result<AdvantageMetrics<F>> {
let quantum_start = std::time::Instant::now();
self.train_quantum_model(training_data)?;
let quantum_train_time = quantum_start.elapsed().as_secs_f64();
let classical_start = std::time::Instant::now();
self.train_classical_baseline(training_data)?;
let classical_train_time = classical_start.elapsed().as_secs_f64();
let quantum_performance = self.evaluate_quantum_model(test_data)?;
let classical_performance = self.evaluate_classical_model(test_data)?;
self.advantage_metrics.speedup =
F::from(classical_train_time / quantum_train_time.max(0.001)).expect("Test failed");
self.advantage_metrics.accuracy_improvement =
(classical_performance.mse - quantum_performance.mse) / classical_performance.mse;
self.advantage_metrics.memory_efficiency = classical_performance.memory_usage
/ quantum_performance
.memory_usage
.max(F::from(0.001).expect("Test: failed to convert constant to float"));
Ok(self.advantage_metrics.clone())
}
fn train_quantum_model(&mut self, trainingdata: &[(Array1<F>, F)]) -> Result<()> {
for _epoch in 0..10 {
for (features, _target) in trainingdata.iter().take(100) {
let _quantum_features = self.qml_model.vqc.forward(features)?;
}
}
Ok(())
}
fn train_classical_baseline(&mut self, trainingdata: &[(Array1<F>, F)]) -> Result<()> {
let n = trainingdata.len();
if n == 0 {
return Ok(());
}
let feature_dim = trainingdata[0].0.len();
let mut x_matrix = Array2::zeros((n, feature_dim));
let mut y_vector = Array1::zeros(n);
for (i, (features, target)) in trainingdata.iter().enumerate() {
for j in 0..feature_dim.min(features.len()) {
x_matrix[[i, j]] = features[j];
}
y_vector[i] = *target;
}
for j in 0..feature_dim.min(self.classical_baseline.linear_weights.len()) {
let mut sum = F::zero();
for i in 0..n {
sum = sum + x_matrix[[i, j]];
}
self.classical_baseline.linear_weights[j] = sum / F::from(n).expect("Test failed");
}
Ok(())
}
fn evaluate_quantum_model(
&self,
test_data: &[(Array1<F>, F)],
) -> Result<PerformanceMetrics<F>> {
let mut total_error = F::zero();
let mut valid_predictions = 0;
let start_time = std::time::Instant::now();
for (features, target) in test_data.iter().take(100) {
if let Ok(quantum_output) = self.qml_model.vqc.forward(features) {
let prediction = quantum_output.iter().copied().sum::<F>()
/ F::from(quantum_output.len()).expect("Test failed");
let error = prediction - *target;
total_error = total_error + error * error;
valid_predictions += 1;
}
}
let inference_time = start_time.elapsed().as_secs_f64();
let mse = if valid_predictions > 0 {
total_error / F::from(valid_predictions).expect("Test: failed to convert to float")
} else {
F::from(f64::INFINITY).expect("Test: failed to convert to float")
};
Ok(PerformanceMetrics {
mse,
training_time: F::zero(), inference_time: F::from(inference_time).expect("Test failed"),
memory_usage: F::from(self.qml_model.vqc.num_qubits * 8).expect("Test failed"), })
}
fn evaluate_classical_model(
&self,
test_data: &[(Array1<F>, F)],
) -> Result<PerformanceMetrics<F>> {
let mut total_error = F::zero();
let mut valid_predictions = 0;
let start_time = std::time::Instant::now();
for (features, target) in test_data.iter().take(100) {
let mut prediction = F::zero();
for i in 0..features
.len()
.min(self.classical_baseline.linear_weights.len())
{
prediction = prediction + features[i] * self.classical_baseline.linear_weights[i];
}
let error = prediction - *target;
total_error = total_error + error * error;
valid_predictions += 1;
}
let inference_time = start_time.elapsed().as_secs_f64();
let mse = if valid_predictions > 0 {
total_error / F::from(valid_predictions).expect("Test: failed to convert to float")
} else {
F::from(f64::INFINITY).expect("Test: failed to convert to float")
};
Ok(PerformanceMetrics {
mse,
training_time: F::zero(),
inference_time: F::from(inference_time).expect("Test failed"),
memory_usage: F::from(self.classical_baseline.linear_weights.len() * 8)
.expect("Test failed"),
})
}
pub fn has_quantum_advantage(&self, problemsize: usize) -> bool {
problemsize >= self.advantage_metrics.advantage_threshold
&& self.advantage_metrics.speedup > F::one()
&& self.advantage_metrics.accuracy_improvement > F::zero()
}
}
#[cfg(test)]
mod quantum_advanced_tests {
use super::*;
#[test]
fn test_quantum_neural_network() {
let mut qnn = QuantumNeuralNetwork::<f64>::new(2, 4, 8, 3);
let input = Array1::from_vec((0..8).map(|i| i as f64 * 0.1).collect());
let output = qnn.forward(&input).expect("Test failed");
assert_eq!(output.len(), 3);
let training_data = vec![
(input.clone(), Array1::from_vec(vec![0.1, 0.2, 0.3])),
(
Array1::from_vec(vec![0.1; 8]),
Array1::from_vec(vec![0.2, 0.3, 0.4]),
),
];
let loss_history = qnn.train(&training_data, 5, 0.01).expect("Test failed");
assert_eq!(loss_history.len(), 5);
}
#[test]
fn test_quantum_ensemble() {
let mut ensemble =
QuantumEnsemble::<f64>::new(3, 3, 5, 2, QuantumEnsembleMethod::QuantumWeightedAverage);
let input = Array1::from_vec(vec![0.1, 0.2, 0.3, 0.4, 0.5]);
let prediction = ensemble.predict(&input).expect("Test failed");
assert_eq!(prediction.len(), 2);
let training_data = vec![
(input.clone(), Array1::from_vec(vec![0.6, 0.7])),
(
Array1::from_vec(vec![0.2; 5]),
Array1::from_vec(vec![0.8, 0.9]),
),
];
let result = ensemble.train(&training_data, 10, 0.01);
assert!(result.is_ok());
}
#[test]
fn test_quantum_ensemble_methods() {
let ensemble_voting =
QuantumEnsemble::<f64>::new(2, 3, 4, 2, QuantumEnsembleMethod::QuantumVoting);
let ensemble_interference =
QuantumEnsemble::<f64>::new(2, 3, 4, 2, QuantumEnsembleMethod::QuantumInterference);
let input = Array1::from_vec(vec![0.1, 0.2, 0.3, 0.4]);
let pred_voting = ensemble_voting.predict(&input).expect("Test failed");
let pred_interference = ensemble_interference.predict(&input).expect("Test failed");
assert_eq!(pred_voting.len(), 2);
assert_eq!(pred_interference.len(), 2);
let mut _different = false;
for i in 0..2 {
if (pred_voting[i] - pred_interference[i]).abs() > 1e-6 {
_different = true;
break;
}
}
}
#[test]
fn test_quantum_activation_functions() {
let qnn = QuantumNeuralNetwork::<f64>::new(1, 3, 5, 2);
let input = Array1::from_vec(vec![0.1, 0.2, -0.1]);
let relu_output = qnn
.apply_quantum_activation(&input, &QuantumActivation::QuantumReLU)
.expect("Test failed");
let sigmoid_output = qnn
.apply_quantum_activation(&input, &QuantumActivation::QuantumSigmoid)
.expect("Test failed");
let tanh_output = qnn
.apply_quantum_activation(&input, &QuantumActivation::QuantumTanh)
.expect("Test failed");
assert_eq!(relu_output.len(), 3);
assert_eq!(sigmoid_output.len(), 3);
assert_eq!(tanh_output.len(), 3);
assert!(relu_output[2] >= 0.0);
for &val in &sigmoid_output {
assert!((0.0..=1.0).contains(&val));
}
for &val in &tanh_output {
assert!((-1.0..=1.0).contains(&val));
}
}
#[test]
fn test_quantum_tensor_network() {
let mut qtn = QuantumTensorNetwork::<f64>::new(5, 3);
assert_eq!(qtn.nodes.len(), 5);
assert_eq!(qtn.connections.len(), 4);
let data = Array1::from_vec(vec![0.1, 0.2, 0.3, 0.4, 0.5]);
qtn.encode_time_series(&data).expect("Test failed");
let features = qtn.contract_network().expect("Test failed");
assert_eq!(features.len(), 5);
let target = Array1::from_vec(vec![0.15, 0.25, 0.35, 0.45, 0.55]);
let final_loss = qtn
.variational_optimization(&target, 10)
.expect("Test failed");
assert!(final_loss >= 0.0);
let region_a = vec![0, 1];
let region_b = vec![3, 4];
let entropy = qtn
.calculate_entanglement_entropy(®ion_a, ®ion_b)
.expect("Test failed");
assert!(entropy >= 0.0);
}
#[test]
fn test_quantum_error_correction() {
let mut qec = QuantumErrorCorrection::<f64>::new(ErrorCorrectionCode::RepetitionCode, 2);
assert_eq!(qec.physical_qubits, 6); assert_eq!(qec.logical_qubits, 2);
let mut quantum_state = QuantumState::<f64>::new(3);
quantum_state.create_superposition();
let _correction_applied = qec
.detect_and_correct(&mut quantum_state)
.expect("Test failed");
let (_total, success_rate, confidence) = qec.get_error_statistics();
assert!((0.0..=1.0).contains(&success_rate));
assert!((0.0..=1.0).contains(&confidence));
let qec_shor = QuantumErrorCorrection::<f64>::new(ErrorCorrectionCode::ShorCode, 1);
assert_eq!(qec_shor.physical_qubits, 9);
let qec_steane = QuantumErrorCorrection::<f64>::new(ErrorCorrectionCode::SteaneCode, 1);
assert_eq!(qec_steane.physical_qubits, 7); }
#[test]
fn test_quantum_advantage_predictor() {
let mut qap = QuantumAdvantagePredictor::<f64>::new(4, 3);
let mut training_data = Vec::new();
let mut test_data = Vec::new();
for i in 0..20 {
let features = Array1::from_vec(vec![
i as f64 * 0.1,
(i as f64 * 0.2).sin(),
(i as f64 * 0.3).cos(),
i as f64 * 0.05,
]);
let target = features.sum() / features.len() as f64;
if i < 15 {
training_data.push((features, target));
} else {
test_data.push((features, target));
}
}
let advantage_metrics = qap
.evaluate_quantum_advantage(&training_data, &test_data)
.expect("Test failed");
assert!(advantage_metrics.speedup >= 0.0);
assert!(advantage_metrics.memory_efficiency >= 0.0);
assert_eq!(advantage_metrics.advantage_threshold, 1000);
let _has_advantage_small = qap.has_quantum_advantage(100);
let _has_advantage_large = qap.has_quantum_advantage(2000);
}
#[test]
fn test_quantum_encoding_strategies() {
let _feature_map = QuantumFeatureMap::<f64> {
encoding: QuantumEncoding::AngleEncoding,
num_qubits: 3,
parameters: Array2::zeros((3, 3)),
};
let angle_encoding = QuantumEncoding::AngleEncoding;
let amplitude_encoding = QuantumEncoding::AmplitudeEncoding;
let basis_encoding = QuantumEncoding::BasisEncoding;
let qram_encoding = QuantumEncoding::QRAM;
match angle_encoding {
QuantumEncoding::AngleEncoding => {}
_ => panic!("Expected AngleEncoding"),
}
match amplitude_encoding {
QuantumEncoding::AmplitudeEncoding => {}
_ => panic!("Expected AmplitudeEncoding"),
}
match basis_encoding {
QuantumEncoding::BasisEncoding => {}
_ => panic!("Expected BasisEncoding"),
}
match qram_encoding {
QuantumEncoding::QRAM => {}
_ => panic!("Expected QRAM"),
}
}
#[test]
fn test_performance_metrics() {
let metrics = PerformanceMetrics::<f64> {
mse: 0.1,
training_time: 1.5,
inference_time: 0.001,
memory_usage: 512.0,
};
assert_eq!(metrics.mse, 0.1);
assert_eq!(metrics.training_time, 1.5);
assert_eq!(metrics.inference_time, 0.001);
assert_eq!(metrics.memory_usage, 512.0);
}
#[test]
fn test_quantum_error_rates() {
let error_rates = ErrorRates::<f64> {
bit_flip: 0.001,
phase_flip: 0.001,
depolarization: 0.002,
measurement: 0.01,
};
assert!(error_rates.bit_flip >= 0.0 && error_rates.bit_flip <= 1.0);
assert!(error_rates.phase_flip >= 0.0 && error_rates.phase_flip <= 1.0);
assert!(error_rates.depolarization >= 0.0 && error_rates.depolarization <= 1.0);
assert!(error_rates.measurement >= 0.0 && error_rates.measurement <= 1.0);
assert!(error_rates.measurement > error_rates.bit_flip);
assert!(error_rates.measurement > error_rates.phase_flip);
}
}