use crate::autodiff::optimizers::Optimizer;
use crate::error::{MLError, Result};
use crate::optimization::OptimizationMethod;
use crate::qnn::{QNNLayerType, QuantumNeuralNetwork};
use quantrs2_circuit::builder::{Circuit, Simulator};
use quantrs2_core::gate::{
single::{RotationX, RotationY, RotationZ},
GateOp,
};
use quantrs2_sim::statevector::StateVectorSimulator;
use scirs2_core::ndarray::{s, Array1, Array2, ArrayView1, Axis};
use scirs2_core::random::prelude::*;
use std::collections::HashMap;
use std::f64::consts::{E, PI};
pub struct QuantumBoltzmannMachine {
num_visible: usize,
num_hidden: usize,
num_qubits: usize,
couplings: Array2<f64>,
biases: Array1<f64>,
temperature: f64,
learning_rate: f64,
}
impl QuantumBoltzmannMachine {
pub fn new(
num_visible: usize,
num_hidden: usize,
temperature: f64,
learning_rate: f64,
) -> Result<Self> {
let num_qubits = num_visible + num_hidden;
let mut couplings = Array2::zeros((num_qubits, num_qubits));
for i in 0..num_qubits {
for j in i + 1..num_qubits {
let coupling = 0.1 * (2.0 * thread_rng().random::<f64>() - 1.0);
couplings[[i, j]] = coupling;
couplings[[j, i]] = coupling;
}
}
let biases = Array1::from_shape_fn(num_qubits, |_| {
0.1 * (2.0 * thread_rng().random::<f64>() - 1.0)
});
Ok(Self {
num_visible,
num_hidden,
num_qubits,
couplings,
biases,
temperature,
learning_rate,
})
}
pub fn energy(&self, state: &Array1<f64>) -> f64 {
let mut energy = 0.0;
for i in 0..self.num_qubits {
energy -= self.biases[i] * state[i];
}
for i in 0..self.num_qubits {
for j in i + 1..self.num_qubits {
energy -= self.couplings[[i, j]] * state[i] * state[j];
}
}
energy
}
pub fn create_gibbs_circuit(&self) -> Result<()> {
Ok(())
}
pub fn sample(&self, num_samples: usize) -> Result<Array2<f64>> {
let mut samples = Array2::zeros((num_samples, self.num_visible));
for sample_idx in 0..num_samples {
for i in 0..self.num_visible {
samples[[sample_idx, i]] = if thread_rng().random::<f64>() > 0.5 {
1.0
} else {
0.0
};
}
}
Ok(samples)
}
pub fn compute_gradients(&self, data: &Array2<f64>) -> Result<(Array2<f64>, Array1<f64>)> {
let batch_size = data.nrows();
let mut pos_correlations: Array2<f64> = Array2::zeros((self.num_qubits, self.num_qubits));
let mut pos_biases: Array1<f64> = Array1::zeros(self.num_qubits);
for sample_idx in 0..batch_size {
let visible = data.row(sample_idx);
let hidden = self.sample_hidden_given_visible(&visible)?;
let mut full_state = Array1::zeros(self.num_qubits);
for i in 0..self.num_visible {
full_state[i] = visible[i];
}
for i in 0..self.num_hidden {
full_state[self.num_visible + i] = hidden[i];
}
for i in 0..self.num_qubits {
pos_biases[i] += full_state[i];
for j in i + 1..self.num_qubits {
pos_correlations[[i, j]] += full_state[i] * full_state[j];
pos_correlations[[j, i]] = pos_correlations[[i, j]];
}
}
}
let neg_samples = self.sample(batch_size)?;
let mut neg_correlations: Array2<f64> = Array2::zeros((self.num_qubits, self.num_qubits));
let mut neg_biases: Array1<f64> = Array1::zeros(self.num_qubits);
for sample_idx in 0..batch_size {
let visible = neg_samples.row(sample_idx);
let hidden = self.sample_hidden_given_visible(&visible)?;
let mut full_state = Array1::zeros(self.num_qubits);
for i in 0..self.num_visible {
full_state[i] = visible[i];
}
for i in 0..self.num_hidden {
full_state[self.num_visible + i] = hidden[i];
}
for i in 0..self.num_qubits {
neg_biases[i] += full_state[i];
for j in i + 1..self.num_qubits {
neg_correlations[[i, j]] += full_state[i] * full_state[j];
neg_correlations[[j, i]] = neg_correlations[[i, j]];
}
}
}
let coupling_grad = (pos_correlations - neg_correlations) / batch_size as f64;
let bias_grad = (pos_biases - neg_biases) / batch_size as f64;
Ok((coupling_grad, bias_grad))
}
pub fn sample_hidden_given_visible(&self, visible: &ArrayView1<f64>) -> Result<Array1<f64>> {
let mut hidden = Array1::zeros(self.num_hidden);
for h in 0..self.num_hidden {
let h_idx = self.num_visible + h;
let mut activation = self.biases[h_idx];
for v in 0..self.num_visible {
activation += self.couplings[[v, h_idx]] * visible[v];
}
let prob = 1.0 / (1.0 + (-activation / self.temperature).exp());
hidden[h] = if thread_rng().random::<f64>() < prob {
1.0
} else {
0.0
};
}
Ok(hidden)
}
pub fn train(
&mut self,
data: &Array2<f64>,
epochs: usize,
batch_size: usize,
) -> Result<Vec<f64>> {
let mut losses = Vec::new();
let num_samples = data.nrows();
for epoch in 0..epochs {
let mut epoch_loss = 0.0;
for batch_start in (0..num_samples).step_by(batch_size) {
let batch_end = (batch_start + batch_size).min(num_samples);
let batch = data.slice(s![batch_start..batch_end, ..]).to_owned();
let (coupling_grad, bias_grad) = self.compute_gradients(&batch)?;
self.couplings = &self.couplings + self.learning_rate * &coupling_grad;
self.biases = &self.biases + self.learning_rate * &bias_grad;
let reconstructed = self.reconstruct(&batch)?;
let error = (&batch - &reconstructed).mapv(|x| x * x).sum();
epoch_loss += error;
}
epoch_loss /= num_samples as f64;
losses.push(epoch_loss);
if epoch % 10 == 0 {
println!("Epoch {}: Loss = {:.4}", epoch, epoch_loss);
}
}
Ok(losses)
}
pub fn reconstruct(&self, visible: &Array2<f64>) -> Result<Array2<f64>> {
let num_samples = visible.nrows();
let mut reconstructed = Array2::zeros((num_samples, self.num_visible));
for i in 0..num_samples {
let v = visible.row(i);
let h = self.sample_hidden_given_visible(&v)?;
let v_recon = self.sample_visible_given_hidden(&h)?;
reconstructed.row_mut(i).assign(&v_recon);
}
Ok(reconstructed)
}
pub fn sample_visible_given_hidden(&self, hidden: &Array1<f64>) -> Result<Array1<f64>> {
let mut visible = Array1::zeros(self.num_visible);
for v in 0..self.num_visible {
let mut activation = self.biases[v];
for h in 0..self.num_hidden {
let h_idx = self.num_visible + h;
activation += self.couplings[[v, h_idx]] * hidden[h];
}
let prob = 1.0 / (1.0 + (-activation / self.temperature).exp());
visible[v] = if thread_rng().random::<f64>() < prob {
1.0
} else {
0.0
};
}
Ok(visible)
}
pub fn temperature(&self) -> f64 {
self.temperature
}
pub fn couplings(&self) -> &Array2<f64> {
&self.couplings
}
}
pub struct QuantumRBM {
qbm: QuantumBoltzmannMachine,
use_annealing: bool,
annealing_schedule: Option<AnnealingSchedule>,
}
#[derive(Debug, Clone)]
pub struct AnnealingSchedule {
initial_temp: f64,
final_temp: f64,
num_steps: usize,
}
impl AnnealingSchedule {
pub fn new(initial_temp: f64, final_temp: f64, num_steps: usize) -> Self {
Self {
initial_temp,
final_temp,
num_steps,
}
}
}
impl QuantumRBM {
pub fn new(
num_visible: usize,
num_hidden: usize,
temperature: f64,
learning_rate: f64,
) -> Result<Self> {
let qbm =
QuantumBoltzmannMachine::new(num_visible, num_hidden, temperature, learning_rate)?;
Ok(Self {
qbm,
use_annealing: false,
annealing_schedule: None,
})
}
pub fn with_annealing(mut self, schedule: AnnealingSchedule) -> Self {
self.use_annealing = true;
self.annealing_schedule = Some(schedule);
self
}
pub fn create_rbm_circuit(&self) -> Result<()> {
Ok(())
}
pub fn train_pcd(
&mut self,
data: &Array2<f64>,
epochs: usize,
batch_size: usize,
num_persistent: usize,
) -> Result<Vec<f64>> {
let mut losses = Vec::new();
let mut persistent_chains = self.qbm.sample(num_persistent)?;
for epoch in 0..epochs {
if self.use_annealing {
if let Some(ref schedule) = self.annealing_schedule {
let progress = epoch as f64 / epochs as f64;
self.qbm.temperature =
schedule.initial_temp * (1.0 - progress) + schedule.final_temp * progress;
}
}
let loss = self.train_epoch_pcd(data, batch_size, &mut persistent_chains)?;
losses.push(loss);
if epoch % 10 == 0 {
println!(
"Epoch {}: Loss = {:.4}, Temp = {:.3}",
epoch, loss, self.qbm.temperature
);
}
}
Ok(losses)
}
fn train_epoch_pcd(
&mut self,
data: &Array2<f64>,
batch_size: usize,
persistent_chains: &mut Array2<f64>,
) -> Result<f64> {
let num_samples = data.nrows();
let mut epoch_loss = 0.0;
for batch_start in (0..num_samples).step_by(batch_size) {
let batch_end = (batch_start + batch_size).min(num_samples);
let batch = data.slice(s![batch_start..batch_end, ..]).to_owned();
for _ in 0..5 {
*persistent_chains = self.gibbs_step(persistent_chains)?;
}
let (coupling_grad, bias_grad) =
self.compute_gradients_pcd(&batch, persistent_chains)?;
self.qbm.couplings = &self.qbm.couplings + self.qbm.learning_rate * &coupling_grad;
self.qbm.biases = &self.qbm.biases + self.qbm.learning_rate * &bias_grad;
let reconstructed = self.qbm.reconstruct(&batch)?;
let error = (&batch - &reconstructed).mapv(|x| x * x).sum();
epoch_loss += error;
}
Ok(epoch_loss / num_samples as f64)
}
fn gibbs_step(&self, states: &Array2<f64>) -> Result<Array2<f64>> {
let num_samples = states.nrows();
let mut new_states = Array2::zeros((num_samples, self.qbm.num_visible));
for i in 0..num_samples {
let visible = states.row(i);
let hidden = self.qbm.sample_hidden_given_visible(&visible)?;
let new_visible = self.qbm.sample_visible_given_hidden(&hidden)?;
new_states.row_mut(i).assign(&new_visible);
}
Ok(new_states)
}
fn compute_gradients_pcd(
&self,
data: &Array2<f64>,
persistent_chains: &Array2<f64>,
) -> Result<(Array2<f64>, Array1<f64>)> {
self.qbm.compute_gradients(data)
}
pub fn qbm(&self) -> &QuantumBoltzmannMachine {
&self.qbm
}
}
pub struct DeepBoltzmannMachine {
layer_sizes: Vec<usize>,
rbms: Vec<QuantumRBM>,
use_pretraining: bool,
}
impl DeepBoltzmannMachine {
pub fn new(layer_sizes: Vec<usize>, temperature: f64, learning_rate: f64) -> Result<Self> {
if layer_sizes.len() < 2 {
return Err(MLError::ModelCreationError(
"Need at least 2 layers".to_string(),
));
}
let mut rbms = Vec::new();
for i in 0..layer_sizes.len() - 1 {
let rbm = QuantumRBM::new(
layer_sizes[i],
layer_sizes[i + 1],
temperature,
learning_rate,
)?;
rbms.push(rbm);
}
Ok(Self {
layer_sizes,
rbms,
use_pretraining: true,
})
}
pub fn pretrain(
&mut self,
data: &Array2<f64>,
epochs_per_layer: usize,
batch_size: usize,
) -> Result<()> {
println!("Starting layer-wise pretraining...");
let mut current_data = data.clone();
let num_layers = self.rbms.len();
for layer_idx in 0..num_layers {
println!("\nPretraining layer {}...", layer_idx + 1);
self.rbms[layer_idx].train_pcd(¤t_data, epochs_per_layer, batch_size, 100)?;
if layer_idx < num_layers - 1 {
current_data = self.transform_data(&self.rbms[layer_idx], ¤t_data)?;
}
}
Ok(())
}
fn transform_data(&self, rbm: &QuantumRBM, data: &Array2<f64>) -> Result<Array2<f64>> {
let num_samples = data.nrows();
let num_hidden = rbm.qbm.num_hidden;
let mut transformed = Array2::zeros((num_samples, num_hidden));
for i in 0..num_samples {
let visible = data.row(i);
let hidden = rbm.qbm.sample_hidden_given_visible(&visible)?;
transformed.row_mut(i).assign(&hidden);
}
Ok(transformed)
}
pub fn rbms(&self) -> &[QuantumRBM] {
&self.rbms
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_qbm_creation() {
let qbm = QuantumBoltzmannMachine::new(4, 2, 1.0, 0.01).expect("Failed to create QBM");
assert_eq!(qbm.num_visible, 4);
assert_eq!(qbm.num_hidden, 2);
assert_eq!(qbm.num_qubits, 6);
}
#[test]
fn test_energy_computation() {
let qbm = QuantumBoltzmannMachine::new(2, 2, 1.0, 0.01).expect("Failed to create QBM");
let state = Array1::from_vec(vec![1.0, 0.0, 1.0, 0.0]);
let energy = qbm.energy(&state);
assert!(energy.is_finite());
}
#[test]
fn test_sampling() {
let qbm = QuantumBoltzmannMachine::new(3, 2, 1.0, 0.01).expect("Failed to create QBM");
let samples = qbm.sample(10).expect("Sampling should succeed");
assert_eq!(samples.shape(), &[10, 3]);
for sample in samples.outer_iter() {
for &val in sample.iter() {
assert!(val == 0.0 || val == 1.0);
}
}
}
#[test]
fn test_rbm_creation() {
let rbm = QuantumRBM::new(4, 3, 1.0, 0.01).expect("Failed to create RBM");
assert_eq!(rbm.qbm.num_visible, 4);
assert_eq!(rbm.qbm.num_hidden, 3);
}
#[test]
fn test_deep_boltzmann() {
let layer_sizes = vec![4, 3, 2];
let dbm = DeepBoltzmannMachine::new(layer_sizes.clone(), 1.0, 0.01)
.expect("Failed to create DBM");
assert_eq!(dbm.layer_sizes, layer_sizes);
assert_eq!(dbm.rbms.len(), 2);
}
}