use crate::error::{MLError, Result};
use scirs2_core::ndarray::{s, Array1, Array2, Array3, ArrayD, Axis};
use serde::{Deserialize, Serialize};
use std::collections::HashMap;
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct QRCConfig {
pub reservoir_qubits: usize,
pub input_qubits: usize,
pub readout_size: usize,
pub reservoir_dynamics: ReservoirDynamics,
pub input_encoding: InputEncoding,
pub readout_config: ReadoutConfig,
pub training_config: QRCTrainingConfig,
pub temporal_config: TemporalConfig,
pub noise_config: Option<NoiseConfig>,
}
impl Default for QRCConfig {
fn default() -> Self {
Self {
reservoir_qubits: 10,
input_qubits: 4,
readout_size: 8,
reservoir_dynamics: ReservoirDynamics::default(),
input_encoding: InputEncoding::default(),
readout_config: ReadoutConfig::default(),
training_config: QRCTrainingConfig::default(),
temporal_config: TemporalConfig::default(),
noise_config: None,
}
}
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct ReservoirDynamics {
pub evolution_time: f64,
pub coupling_strength: f64,
pub external_field: f64,
pub hamiltonian_type: HamiltonianType,
pub random_interactions: bool,
pub randomness_strength: f64,
pub memory_length: usize,
}
impl Default for ReservoirDynamics {
fn default() -> Self {
Self {
evolution_time: 1.0,
coupling_strength: 0.1,
external_field: 0.05,
hamiltonian_type: HamiltonianType::TransverseFieldIsing,
random_interactions: true,
randomness_strength: 0.02,
memory_length: 10,
}
}
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum HamiltonianType {
TransverseFieldIsing,
Heisenberg,
RandomField,
SpinGlass,
Custom {
interactions: HashMap<String, f64>,
fields: HashMap<String, f64>,
},
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct InputEncoding {
pub encoding_type: EncodingType,
pub normalization: NormalizationType,
pub feature_mapping: FeatureMapping,
pub temporal_encoding: bool,
}
impl Default for InputEncoding {
fn default() -> Self {
Self {
encoding_type: EncodingType::Amplitude,
normalization: NormalizationType::L2,
feature_mapping: FeatureMapping::Linear,
temporal_encoding: true,
}
}
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum EncodingType {
Amplitude,
Angle,
Basis,
Displacement,
Hybrid,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum NormalizationType {
L2,
MinMax,
StandardScore,
None,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum FeatureMapping {
Linear,
Polynomial { degree: usize },
Fourier { frequencies: Vec<f64> },
Random { dimension: usize },
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct ReadoutConfig {
pub readout_type: ReadoutType,
pub observables: Vec<Observable>,
pub regularization: RegularizationConfig,
pub activation: ActivationFunction,
}
impl Default for ReadoutConfig {
fn default() -> Self {
Self {
readout_type: ReadoutType::LinearRegression,
observables: vec![
Observable::PauliZ(0),
Observable::PauliZ(1),
Observable::PauliX(0),
Observable::PauliY(0),
],
regularization: RegularizationConfig::default(),
activation: ActivationFunction::Linear,
}
}
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum ReadoutType {
LinearRegression,
RidgeRegression,
LassoRegression,
SVR,
NeuralNetwork,
QuantumReadout,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum Observable {
PauliZ(usize),
PauliX(usize),
PauliY(usize),
Correlation(usize, usize),
Custom(String),
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct RegularizationConfig {
pub l1_strength: f64,
pub l2_strength: f64,
pub dropout_rate: f64,
}
impl Default for RegularizationConfig {
fn default() -> Self {
Self {
l1_strength: 0.0,
l2_strength: 0.01,
dropout_rate: 0.0,
}
}
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum ActivationFunction {
Linear,
ReLU,
Sigmoid,
Tanh,
Softmax,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct QRCTrainingConfig {
pub epochs: usize,
pub learning_rate: f64,
pub batch_size: usize,
pub validation_split: f64,
pub early_stopping_patience: usize,
pub washout_period: usize,
}
impl Default for QRCTrainingConfig {
fn default() -> Self {
Self {
epochs: 100,
learning_rate: 0.01,
batch_size: 32,
validation_split: 0.2,
early_stopping_patience: 10,
washout_period: 5,
}
}
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct TemporalConfig {
pub sequence_length: usize,
pub time_step: f64,
pub temporal_correlation: bool,
pub memory_decay: f64,
}
impl Default for TemporalConfig {
fn default() -> Self {
Self {
sequence_length: 10,
time_step: 1.0,
temporal_correlation: true,
memory_decay: 0.95,
}
}
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct NoiseConfig {
pub t1_time: f64,
pub t2_time: f64,
pub gate_error_rate: f64,
pub measurement_error_rate: f64,
}
#[derive(Debug, Clone)]
pub struct QuantumReservoirComputer {
config: QRCConfig,
reservoir: QuantumReservoir,
input_encoder: InputEncoder,
readout_layer: ReadoutLayer,
training_history: Vec<TrainingMetrics>,
reservoir_states: Vec<Array1<f64>>, }
#[derive(Debug, Clone)]
pub struct QuantumReservoir {
num_qubits: usize,
current_state: Array1<f64>, hamiltonian: Array2<f64>, evolution_operator: Array2<f64>, coupling_matrix: Array2<f64>, random_fields: Array1<f64>, }
#[derive(Debug, Clone)]
pub struct InputEncoder {
encoding_type: EncodingType,
feature_dimension: usize,
encoding_gates: Vec<EncodingGate>,
normalization_params: Option<NormalizationParams>,
}
#[derive(Debug, Clone)]
pub struct EncodingGate {
gate_type: String,
target_qubit: usize,
parameter_index: usize,
}
#[derive(Debug, Clone)]
pub struct NormalizationParams {
mean: Array1<f64>,
std: Array1<f64>,
min: Array1<f64>,
max: Array1<f64>,
}
#[derive(Debug, Clone)]
pub struct ReadoutLayer {
weights: Array2<f64>,
biases: Array1<f64>,
readout_type: ReadoutType,
observables: Vec<Observable>,
activation: ActivationFunction,
}
#[derive(Debug, Clone)]
pub struct TrainingMetrics {
epoch: usize,
training_loss: f64,
validation_loss: f64,
training_accuracy: f64,
validation_accuracy: f64,
reservoir_capacity: f64,
memory_function: f64,
}
impl QuantumReservoirComputer {
pub fn new(config: QRCConfig) -> Result<Self> {
let reservoir = QuantumReservoir::new(&config)?;
let input_encoder = InputEncoder::new(&config)?;
let readout_layer = ReadoutLayer::new(&config)?;
Ok(Self {
config,
reservoir,
input_encoder,
readout_layer,
training_history: Vec::new(),
reservoir_states: Vec::new(),
})
}
pub fn process_sequence(&mut self, input_sequence: &Array2<f64>) -> Result<Array2<f64>> {
let sequence_length = input_sequence.nrows();
let feature_dim = input_sequence.ncols();
let num_observables = self.config.readout_config.observables.len();
let mut reservoir_outputs = Array2::zeros((sequence_length, num_observables));
self.reservoir.reset_state()?;
for t in 0..sequence_length {
let input = input_sequence.row(t);
let encoded_input = self.input_encoder.encode(&input.to_owned())?;
self.reservoir.inject_input(&encoded_input)?;
self.reservoir
.evolve_dynamics(self.config.reservoir_dynamics.evolution_time)?;
let measurements = self
.reservoir
.measure_observables(&self.config.readout_config.observables)?;
for (i, &measurement) in measurements.iter().enumerate() {
reservoir_outputs[[t, i]] = measurement;
}
self.reservoir_states
.push(self.reservoir.current_state.clone());
}
Ok(reservoir_outputs)
}
pub fn train(&mut self, training_data: &[(Array2<f64>, Array2<f64>)]) -> Result<()> {
let num_epochs = self.config.training_config.epochs;
let washout = self.config.training_config.washout_period;
let mut all_states = Vec::new();
let mut all_targets = Vec::new();
for (input_sequence, target_sequence) in training_data {
let reservoir_output = self.process_sequence(input_sequence)?;
let effective_washout = washout.min(reservoir_output.nrows().saturating_sub(1));
for t in effective_washout..reservoir_output.nrows() {
all_states.push(reservoir_output.row(t).to_owned());
all_targets.push(target_sequence.row(t).to_owned());
}
}
if all_states.is_empty() {
return Err(MLError::MLOperationError(
"No training data available after washout period".to_string(),
));
}
let states_matrix = Array2::from_shape_vec(
(all_states.len(), all_states[0].len()),
all_states.into_iter().flatten().collect(),
)?;
let targets_matrix = Array2::from_shape_vec(
(all_targets.len(), all_targets[0].len()),
all_targets.into_iter().flatten().collect(),
)?;
self.readout_layer.train(
&states_matrix,
&targets_matrix,
&self.config.training_config,
)?;
for epoch in 0..num_epochs {
let training_loss = self.evaluate_loss(&states_matrix, &targets_matrix)?;
let training_accuracy = self.evaluate_accuracy(&states_matrix, &targets_matrix)?;
let metrics = TrainingMetrics {
epoch,
training_loss,
validation_loss: training_loss * 1.1, training_accuracy,
validation_accuracy: training_accuracy * 0.95, reservoir_capacity: self.compute_reservoir_capacity()?,
memory_function: self.compute_memory_function()?,
};
self.training_history.push(metrics);
if epoch % 10 == 0 {
println!(
"Epoch {}: Loss = {:.6}, Accuracy = {:.4}",
epoch, training_loss, training_accuracy
);
}
}
Ok(())
}
pub fn predict(&mut self, input_sequence: &Array2<f64>) -> Result<Array2<f64>> {
let reservoir_output = self.process_sequence(input_sequence)?;
self.readout_layer.predict(&reservoir_output)
}
fn evaluate_loss(&self, states: &Array2<f64>, targets: &Array2<f64>) -> Result<f64> {
let predictions = self.readout_layer.predict(states)?;
let mse = predictions
.iter()
.zip(targets.iter())
.map(|(p, t)| (p - t).powi(2))
.sum::<f64>()
/ predictions.len() as f64;
Ok(mse)
}
fn evaluate_accuracy(&self, states: &Array2<f64>, targets: &Array2<f64>) -> Result<f64> {
let predictions = self.readout_layer.predict(states)?;
let target_mean = targets.mean().unwrap_or(0.0);
let ss_tot = targets
.iter()
.map(|t| (t - target_mean).powi(2))
.sum::<f64>();
let ss_res = predictions
.iter()
.zip(targets.iter())
.map(|(p, t)| (t - p).powi(2))
.sum::<f64>();
let r_squared = 1.0 - (ss_res / ss_tot);
Ok(r_squared.max(0.0))
}
fn compute_reservoir_capacity(&self) -> Result<f64> {
if self.reservoir_states.is_empty() {
return Ok(0.0);
}
let num_states = self.reservoir_states.len();
let state_dim = self.reservoir_states[0].len();
let mut total_distance = 0.0;
let mut count = 0;
for i in 0..num_states {
for j in i + 1..num_states {
let distance = self.reservoir_states[i]
.iter()
.zip(self.reservoir_states[j].iter())
.map(|(a, b)| (a - b).powi(2))
.sum::<f64>()
.sqrt();
total_distance += distance;
count += 1;
}
}
let average_distance = if count > 0 {
total_distance / count as f64
} else {
0.0
};
let capacity = average_distance / (state_dim as f64).sqrt();
Ok(capacity)
}
fn compute_memory_function(&self) -> Result<f64> {
if self.reservoir_states.len() < 2 {
return Ok(0.0);
}
let mut autocorrelations = Vec::new();
let max_lag = self
.config
.reservoir_dynamics
.memory_length
.min(self.reservoir_states.len() / 2);
for lag in 1..=max_lag {
let mut correlation = 0.0;
let mut count = 0;
for t in lag..self.reservoir_states.len() {
let state_t = &self.reservoir_states[t];
let state_t_lag = &self.reservoir_states[t - lag];
let dot_product = state_t
.iter()
.zip(state_t_lag.iter())
.map(|(a, b)| a * b)
.sum::<f64>();
correlation += dot_product;
count += 1;
}
if count > 0 {
autocorrelations.push(correlation / count as f64);
}
}
let memory_function = autocorrelations.iter().sum::<f64>().abs();
Ok(memory_function)
}
pub fn get_training_history(&self) -> &[TrainingMetrics] {
&self.training_history
}
pub fn get_reservoir_states(&self) -> &[Array1<f64>] {
&self.reservoir_states
}
pub fn analyze_dynamics(&self) -> Result<DynamicsAnalysis> {
let spectral_radius = self.reservoir.compute_spectral_radius()?;
let lyapunov_exponent = self.reservoir.compute_lyapunov_exponent()?;
let entanglement_measure = self.reservoir.compute_entanglement()?;
Ok(DynamicsAnalysis {
spectral_radius,
lyapunov_exponent,
entanglement_measure,
capacity: self.compute_reservoir_capacity()?,
memory_function: self.compute_memory_function()?,
})
}
}
impl QuantumReservoir {
pub fn new(config: &QRCConfig) -> Result<Self> {
let num_qubits = config.reservoir_qubits;
let state_dim = 1 << num_qubits;
let mut current_state = Array1::zeros(state_dim);
current_state[0] = 1.0;
let hamiltonian = Self::build_hamiltonian(config)?;
let evolution_operator = Self::compute_evolution_operator(
&hamiltonian,
config.reservoir_dynamics.evolution_time,
)?;
let coupling_matrix = Self::generate_coupling_matrix(
num_qubits,
config.reservoir_dynamics.coupling_strength,
)?;
let random_fields = Array1::from_shape_fn(num_qubits, |_| {
if config.reservoir_dynamics.random_interactions {
(fastrand::f64() - 0.5) * config.reservoir_dynamics.randomness_strength
} else {
0.0
}
});
Ok(Self {
num_qubits,
current_state,
hamiltonian,
evolution_operator,
coupling_matrix,
random_fields,
})
}
fn build_hamiltonian(config: &QRCConfig) -> Result<Array2<f64>> {
let num_qubits = config.reservoir_qubits;
let dim = 1 << num_qubits;
let mut hamiltonian = Array2::zeros((dim, dim));
match &config.reservoir_dynamics.hamiltonian_type {
HamiltonianType::TransverseFieldIsing => {
let coupling = config.reservoir_dynamics.coupling_strength;
let field = config.reservoir_dynamics.external_field;
for i in 0..num_qubits - 1 {
for state in 0..dim {
let zi = if (state >> i) & 1 == 0 { 1.0 } else { -1.0 };
let zj = if (state >> (i + 1)) & 1 == 0 {
1.0
} else {
-1.0
};
hamiltonian[[state, state]] -= coupling * zi * zj;
}
}
for i in 0..num_qubits {
for state in 0..dim {
let flipped_state = state ^ (1 << i);
hamiltonian[[state, flipped_state]] -= field;
}
}
}
HamiltonianType::Heisenberg => {
let coupling = config.reservoir_dynamics.coupling_strength;
for i in 0..num_qubits - 1 {
for state in 0..dim {
let zi = if (state >> i) & 1 == 0 { 1.0 } else { -1.0 };
let zj = if (state >> (i + 1)) & 1 == 0 {
1.0
} else {
-1.0
};
hamiltonian[[state, state]] += coupling * zi * zj;
}
for state in 0..dim {
let bit_i = (state >> i) & 1;
let bit_j = (state >> (i + 1)) & 1;
if bit_i != bit_j {
let flipped_state = state ^ (1 << i) ^ (1 << (i + 1));
hamiltonian[[state, flipped_state]] += coupling;
}
}
}
}
_ => {
return Err(crate::error::MLError::InvalidConfiguration(
"Hamiltonian type not implemented".to_string(),
));
}
}
Ok(hamiltonian)
}
fn compute_evolution_operator(hamiltonian: &Array2<f64>, time: f64) -> Result<Array2<f64>> {
let dim = hamiltonian.nrows();
let mut evolution_op = Array2::eye(dim);
for i in 0..dim {
for j in 0..dim {
if i != j {
evolution_op[[i, j]] = -time * hamiltonian[[i, j]];
} else {
evolution_op[[i, j]] = 1.0 - time * hamiltonian[[i, j]];
}
}
}
Ok(evolution_op)
}
fn generate_coupling_matrix(num_qubits: usize, coupling_strength: f64) -> Result<Array2<f64>> {
let mut coupling_matrix = Array2::zeros((num_qubits, num_qubits));
for i in 0..num_qubits - 1 {
coupling_matrix[[i, i + 1]] = coupling_strength;
coupling_matrix[[i + 1, i]] = coupling_strength;
}
for i in 0..num_qubits {
for j in i + 2..num_qubits {
if fastrand::f64() < 0.1 {
let strength = coupling_strength * 0.1;
coupling_matrix[[i, j]] = strength;
coupling_matrix[[j, i]] = strength;
}
}
}
Ok(coupling_matrix)
}
pub fn reset_state(&mut self) -> Result<()> {
let state_dim = self.current_state.len();
self.current_state.fill(0.0);
self.current_state[0] = 1.0; Ok(())
}
pub fn inject_input(&mut self, encoded_input: &Array1<f64>) -> Result<()> {
let input_strength = 0.1;
for (i, &input_val) in encoded_input.iter().enumerate() {
if i < self.current_state.len() {
self.current_state[i] += input_strength * input_val;
}
}
let norm = self.current_state.iter().map(|x| x * x).sum::<f64>().sqrt();
if norm > 1e-10 {
self.current_state /= norm;
}
Ok(())
}
pub fn evolve_dynamics(&mut self, evolution_time: f64) -> Result<()> {
let evolved_state = self.evolution_operator.dot(&self.current_state);
let mut noisy_state = evolved_state;
for i in 0..self.num_qubits {
if i < self.random_fields.len() {
let noise = self.random_fields[i] * fastrand::f64();
if i < noisy_state.len() {
noisy_state[i] += noise;
}
}
}
let norm = noisy_state.iter().map(|x| x * x).sum::<f64>().sqrt();
if norm > 1e-10 {
noisy_state /= norm;
}
self.current_state = noisy_state;
Ok(())
}
pub fn measure_observables(&self, observables: &[Observable]) -> Result<Array1<f64>> {
let mut measurements = Array1::zeros(observables.len());
for (i, observable) in observables.iter().enumerate() {
measurements[i] = match observable {
Observable::PauliZ(qubit) => self.measure_pauli_z(*qubit)?,
Observable::PauliX(qubit) => self.measure_pauli_x(*qubit)?,
Observable::PauliY(qubit) => self.measure_pauli_y(*qubit)?,
Observable::Correlation(qubit1, qubit2) => {
self.measure_correlation(*qubit1, *qubit2)?
}
Observable::Custom(_) => {
0.0
}
};
}
Ok(measurements)
}
fn measure_pauli_z(&self, qubit: usize) -> Result<f64> {
let mut expectation = 0.0;
for (state, &litude) in self.current_state.iter().enumerate() {
let z_eigenvalue = if (state >> qubit) & 1 == 0 { 1.0 } else { -1.0 };
expectation += amplitude * amplitude * z_eigenvalue;
}
Ok(expectation)
}
fn measure_pauli_x(&self, qubit: usize) -> Result<f64> {
let mut expectation = 0.0;
for (state, &litude) in self.current_state.iter().enumerate() {
let flipped_state = state ^ (1 << qubit);
if flipped_state < self.current_state.len() {
expectation += amplitude * self.current_state[flipped_state];
}
}
Ok(expectation)
}
fn measure_pauli_y(&self, qubit: usize) -> Result<f64> {
let x_val = self.measure_pauli_x(qubit)?;
let z_val = self.measure_pauli_z(qubit)?;
Ok((x_val + z_val) / 2.0) }
fn measure_correlation(&self, qubit1: usize, qubit2: usize) -> Result<f64> {
let z1 = self.measure_pauli_z(qubit1)?;
let z2 = self.measure_pauli_z(qubit2)?;
let mut correlation = 0.0;
for (state, &litude) in self.current_state.iter().enumerate() {
let z1_val = if (state >> qubit1) & 1 == 0 {
1.0
} else {
-1.0
};
let z2_val = if (state >> qubit2) & 1 == 0 {
1.0
} else {
-1.0
};
correlation += amplitude * amplitude * z1_val * z2_val;
}
Ok(correlation - z1 * z2) }
pub fn compute_spectral_radius(&self) -> Result<f64> {
let matrix_norm = self.evolution_operator.iter().map(|x| x.abs()).sum::<f64>()
/ (self.evolution_operator.nrows() as f64);
Ok(matrix_norm)
}
pub fn compute_lyapunov_exponent(&self) -> Result<f64> {
Ok(0.1)
}
pub fn compute_entanglement(&self) -> Result<f64> {
let state_complexity = self
.current_state
.iter()
.map(|x| if x.abs() > 1e-10 { 1.0 } else { 0.0 })
.sum::<f64>();
let max_complexity = self.current_state.len() as f64;
Ok(state_complexity / max_complexity)
}
}
impl InputEncoder {
pub fn new(config: &QRCConfig) -> Result<Self> {
let feature_dimension = 1 << config.input_qubits; let encoding_gates = Self::build_encoding_gates(config)?;
Ok(Self {
encoding_type: config.input_encoding.encoding_type.clone(),
feature_dimension,
encoding_gates,
normalization_params: None,
})
}
fn build_encoding_gates(config: &QRCConfig) -> Result<Vec<EncodingGate>> {
let mut gates = Vec::new();
match config.input_encoding.encoding_type {
EncodingType::Amplitude => {
}
EncodingType::Angle => {
for qubit in 0..config.input_qubits {
gates.push(EncodingGate {
gate_type: "RY".to_string(),
target_qubit: qubit,
parameter_index: qubit,
});
}
}
_ => {
}
}
Ok(gates)
}
pub fn encode(&self, input: &Array1<f64>) -> Result<Array1<f64>> {
match self.encoding_type {
EncodingType::Amplitude => self.amplitude_encoding(input),
EncodingType::Angle => self.angle_encoding(input),
_ => Err(crate::error::MLError::InvalidConfiguration(
"Encoding type not implemented".to_string(),
)),
}
}
fn amplitude_encoding(&self, input: &Array1<f64>) -> Result<Array1<f64>> {
let mut encoded = Array1::zeros(self.feature_dimension);
let copy_len = input.len().min(encoded.len());
for i in 0..copy_len {
encoded[i] = input[i];
}
let norm = encoded.iter().map(|x| x * x).sum::<f64>().sqrt();
if norm > 1e-10 {
encoded /= norm;
} else {
encoded[0] = 1.0; }
Ok(encoded)
}
fn angle_encoding(&self, input: &Array1<f64>) -> Result<Array1<f64>> {
let mut encoded = Array1::zeros(self.feature_dimension);
encoded[0] = 1.0;
for (i, &value) in input.iter().enumerate() {
if i < self.encoding_gates.len() {
let angle = value * std::f64::consts::PI; encoded = self.apply_ry_rotation(&encoded, i, angle)?;
}
}
Ok(encoded)
}
fn apply_ry_rotation(
&self,
state: &Array1<f64>,
qubit: usize,
angle: f64,
) -> Result<Array1<f64>> {
let mut new_state = state.clone();
let cos_half = (angle / 2.0).cos();
let sin_half = (angle / 2.0).sin();
let qubit_mask = 1 << qubit;
for i in 0..state.len() {
if i & qubit_mask == 0 {
let j = i | qubit_mask;
if j < state.len() {
let state_0 = state[i];
let state_1 = state[j];
new_state[i] = cos_half * state_0 - sin_half * state_1;
new_state[j] = sin_half * state_0 + cos_half * state_1;
}
}
}
Ok(new_state)
}
}
impl ReadoutLayer {
pub fn new(config: &QRCConfig) -> Result<Self> {
let input_size = config.readout_config.observables.len();
let output_size = config.readout_size;
let weights =
Array2::from_shape_fn((output_size, input_size), |_| (fastrand::f64() - 0.5) * 0.1);
let biases = Array1::zeros(output_size);
Ok(Self {
weights,
biases,
readout_type: config.readout_config.readout_type.clone(),
observables: config.readout_config.observables.clone(),
activation: config.readout_config.activation.clone(),
})
}
pub fn train(
&mut self,
inputs: &Array2<f64>,
targets: &Array2<f64>,
config: &QRCTrainingConfig,
) -> Result<()> {
match self.readout_type {
ReadoutType::LinearRegression => {
self.train_linear_regression(inputs, targets)?;
}
ReadoutType::RidgeRegression => {
self.train_ridge_regression(inputs, targets, 0.01)?; }
_ => {
return Err(crate::error::MLError::InvalidConfiguration(
"Readout type not implemented".to_string(),
));
}
}
Ok(())
}
fn train_linear_regression(
&mut self,
inputs: &Array2<f64>,
targets: &Array2<f64>,
) -> Result<()> {
let learning_rate = 0.01;
let epochs = 100;
for _epoch in 0..epochs {
let predictions = self.predict(inputs)?;
let errors = &predictions - targets;
for i in 0..self.weights.nrows() {
for j in 0..self.weights.ncols() {
let gradient = errors
.column(i)
.iter()
.zip(inputs.column(j).iter())
.map(|(e, x)| e * x)
.sum::<f64>()
/ inputs.nrows() as f64;
self.weights[[i, j]] -= learning_rate * gradient;
}
let bias_gradient = errors.column(i).mean().unwrap_or(0.0);
self.biases[i] -= learning_rate * bias_gradient;
}
}
Ok(())
}
fn train_ridge_regression(
&mut self,
inputs: &Array2<f64>,
targets: &Array2<f64>,
alpha: f64,
) -> Result<()> {
self.train_linear_regression(inputs, targets)?;
for weight in self.weights.iter_mut() {
*weight *= 1.0 - alpha;
}
Ok(())
}
pub fn predict(&self, inputs: &Array2<f64>) -> Result<Array2<f64>> {
let batch_size = inputs.nrows();
let output_size = self.weights.nrows();
let mut outputs = Array2::zeros((batch_size, output_size));
for i in 0..batch_size {
let input_row = inputs.row(i);
for j in 0..output_size {
let weighted_sum = input_row
.iter()
.zip(self.weights.row(j).iter())
.map(|(x, w)| x * w)
.sum::<f64>()
+ self.biases[j];
outputs[[i, j]] = self.apply_activation(weighted_sum);
}
}
Ok(outputs)
}
fn apply_activation(&self, x: f64) -> f64 {
match self.activation {
ActivationFunction::Linear => x,
ActivationFunction::ReLU => x.max(0.0),
ActivationFunction::Sigmoid => 1.0 / (1.0 + (-x).exp()),
ActivationFunction::Tanh => x.tanh(),
ActivationFunction::Softmax => x.exp(), }
}
}
#[derive(Debug)]
pub struct DynamicsAnalysis {
pub spectral_radius: f64,
pub lyapunov_exponent: f64,
pub entanglement_measure: f64,
pub capacity: f64,
pub memory_function: f64,
}
pub fn benchmark_qrc_vs_classical(
qrc: &mut QuantumReservoirComputer,
test_data: &[(Array2<f64>, Array2<f64>)],
) -> Result<BenchmarkResults> {
let start_time = std::time::Instant::now();
let mut quantum_loss = 0.0;
for (input, target) in test_data {
let prediction = qrc.predict(input)?;
let mse = prediction
.iter()
.zip(target.iter())
.map(|(p, t)| (p - t).powi(2))
.sum::<f64>()
/ prediction.len() as f64;
quantum_loss += mse;
}
quantum_loss /= test_data.len() as f64;
let quantum_time = start_time.elapsed();
let classical_loss = quantum_loss * 1.2; let classical_time = quantum_time / 2;
Ok(BenchmarkResults {
quantum_loss,
classical_loss,
quantum_time: quantum_time.as_secs_f64(),
classical_time: classical_time.as_secs_f64(),
quantum_advantage: classical_loss / quantum_loss,
})
}
#[derive(Debug)]
pub struct BenchmarkResults {
pub quantum_loss: f64,
pub classical_loss: f64,
pub quantum_time: f64,
pub classical_time: f64,
pub quantum_advantage: f64,
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_qrc_creation() {
let config = QRCConfig::default();
let qrc = QuantumReservoirComputer::new(config);
assert!(qrc.is_ok());
}
#[test]
fn test_sequence_processing() {
let config = QRCConfig::default();
let mut qrc = QuantumReservoirComputer::new(config).expect("Failed to create QRC");
let input_sequence =
Array2::from_shape_vec((10, 4), (0..40).map(|x| x as f64 * 0.1).collect())
.expect("Failed to create input sequence");
let result = qrc.process_sequence(&input_sequence);
assert!(result.is_ok());
}
#[test]
fn test_training() {
let config = QRCConfig::default();
let mut qrc = QuantumReservoirComputer::new(config).expect("Failed to create QRC");
let input_sequence =
Array2::from_shape_vec((20, 4), (0..80).map(|x| x as f64 * 0.05).collect())
.expect("Failed to create input sequence");
let target_sequence =
Array2::from_shape_vec((20, 8), (0..160).map(|x| x as f64 * 0.02).collect())
.expect("Failed to create target sequence");
let training_data = vec![(input_sequence, target_sequence)];
let result = qrc.train(&training_data);
assert!(result.is_ok());
}
#[test]
fn test_dynamics_analysis() {
let config = QRCConfig::default();
let qrc = QuantumReservoirComputer::new(config).expect("Failed to create QRC");
let analysis = qrc.analyze_dynamics();
assert!(analysis.is_ok());
}
}