use scirs2_core::Complex64;
use std::collections::{HashMap, BTreeMap, HashSet};
use std::sync::{Arc, RwLock, Mutex};
use std::time::{Duration, Instant};
use std::io::{Read, Write, BufReader, BufWriter};
use serde::{Serialize, Deserialize};
use uuid::Uuid;
#[derive(Debug, Clone, Copy, PartialEq, Eq, Serialize, Deserialize)]
pub enum CompressionAlgorithm {
None,
LZ4,
Zlib,
QuantumAmplitudeClustering,
Hybrid,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CompressionMetadata {
pub id: Uuid,
pub original_size: usize,
pub compressed_size: usize,
pub compression_ratio: f64,
pub algorithm: CompressionAlgorithm,
pub num_qubits: usize,
pub sparsity: f64,
pub timestamp: std::time::SystemTime,
pub fidelity: f64,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct SparseQuantumState {
pub amplitudes: BTreeMap<u64, Complex64>,
pub num_qubits: usize,
pub norm: f64,
pub metadata: Option<CompressionMetadata>,
}
impl SparseQuantumState {
pub fn new(num_qubits: usize) -> Self {
Self {
amplitudes: BTreeMap::new(),
num_qubits,
norm: 0.0,
metadata: None,
}
}
pub fn from_dense(state_vector: &[Complex64], sparsity_threshold: f64) -> Self {
let num_qubits = (state_vector.len() as f64).log2() as usize;
let mut amplitudes = BTreeMap::new();
let mut norm_squared = 0.0;
for (i, &litude) in state_vector.iter().enumerate() {
let magnitude_squared = amplitude.norm_sqr();
norm_squared += magnitude_squared;
if magnitude_squared > sparsity_threshold {
amplitudes.insert(i as u64, amplitude);
}
}
Self {
amplitudes,
num_qubits,
norm: norm_squared.sqrt(),
metadata: None,
}
}
pub fn to_dense(&self) -> Vec<Complex64> {
let size = 1 << self.num_qubits;
let mut state_vector = vec![Complex64::new(0.0, 0.0); size];
for (&index, &litude) in &self.amplitudes {
if (index as usize) < size {
state_vector[index as usize] = amplitude;
}
}
state_vector
}
pub fn sparsity(&self) -> f64 {
let total_size = 1 << self.num_qubits;
self.amplitudes.len() as f64 / total_size as f64
}
pub fn apply_sparsity_threshold(&mut self, threshold: f64) -> usize {
let initial_count = self.amplitudes.len();
self.amplitudes.retain(|_, amplitude| amplitude.norm_sqr() > threshold);
self.renormalize();
initial_count - self.amplitudes.len()
}
pub fn renormalize(&mut self) {
let norm_squared: f64 = self.amplitudes.values()
.map(|amplitude| amplitude.norm_sqr())
.sum();
let norm = norm_squared.sqrt();
if norm > 1e-15 {
for amplitude in self.amplitudes.values_mut() {
*amplitude /= norm;
}
self.norm = 1.0;
}
}
}
#[derive(Debug)]
pub struct QuantumAmplitudeClustering {
num_clusters: usize,
tolerance: f64,
cluster_centers: Vec<Complex64>,
cluster_assignments: HashMap<u64, usize>,
}
impl QuantumAmplitudeClustering {
pub fn new(num_clusters: usize, tolerance: f64) -> Self {
Self {
num_clusters,
tolerance,
cluster_centers: Vec::new(),
cluster_assignments: HashMap::new(),
}
}
pub fn compress(&mut self, state: &SparseQuantumState) -> QuantumAmplitudeClusteringResult {
let unique_amplitudes: Vec<Complex64> = state.amplitudes.values().copied().collect();
if unique_amplitudes.is_empty() {
return QuantumAmplitudeClusteringResult {
cluster_centers: Vec::new(),
cluster_assignments: HashMap::new(),
compression_ratio: 1.0,
fidelity: 1.0,
};
}
self.cluster_centers = self.kmeans_clustering(&unique_amplitudes);
self.cluster_assignments.clear();
let mut total_error = 0.0;
for (&index, &litude) in &state.amplitudes {
let cluster_id = self.find_nearest_cluster(amplitude);
self.cluster_assignments.insert(index, cluster_id);
let cluster_center = self.cluster_centers[cluster_id];
total_error += (amplitude - cluster_center).norm_sqr();
}
let original_size = state.amplitudes.len() * std::mem::size_of::<Complex64>();
let compressed_size = self.cluster_centers.len() * std::mem::size_of::<Complex64>()
+ state.amplitudes.len() * std::mem::size_of::<usize>();
let compression_ratio = original_size as f64 / compressed_size as f64;
let fidelity = 1.0 - (total_error / state.amplitudes.len() as f64).sqrt();
QuantumAmplitudeClusteringResult {
cluster_centers: self.cluster_centers.clone(),
cluster_assignments: self.cluster_assignments.clone(),
compression_ratio,
fidelity,
}
}
fn kmeans_clustering(&self, amplitudes: &[Complex64]) -> Vec<Complex64> {
let mut centers = Vec::new();
let k = self.num_clusters.min(amplitudes.len());
if !amplitudes.is_empty() {
centers.push(amplitudes[0]);
for _ in 1..k {
let mut best_distance = 0.0;
let mut best_candidate = amplitudes[0];
for &candidate in amplitudes {
let min_distance = centers.iter()
.map(|center| (candidate - center).norm_sqr())
.fold(f64::INFINITY, f64::min);
if min_distance > best_distance {
best_distance = min_distance;
best_candidate = candidate;
}
}
centers.push(best_candidate);
}
}
for _ in 0..10 {
let mut new_centers = vec![Complex64::new(0.0, 0.0); k];
let mut counts = vec![0; k];
for &litude in amplitudes {
let cluster_id = self.find_nearest_cluster_in_set(amplitude, ¢ers);
new_centers[cluster_id] += amplitude;
counts[cluster_id] += 1;
}
for i in 0..k {
if counts[i] > 0 {
new_centers[i] /= counts[i] as f64;
}
}
let mut converged = true;
for i in 0..k {
if (new_centers[i] - centers[i]).norm() > self.tolerance {
converged = false;
break;
}
}
centers = new_centers;
if converged {
break;
}
}
centers
}
fn find_nearest_cluster(&self, amplitude: Complex64) -> usize {
self.find_nearest_cluster_in_set(amplitude, &self.cluster_centers)
}
fn find_nearest_cluster_in_set(&self, amplitude: Complex64, centers: &[Complex64]) -> usize {
let mut best_distance = f64::INFINITY;
let mut best_cluster = 0;
for (i, ¢er) in centers.iter().enumerate() {
let distance = (amplitude - center).norm_sqr();
if distance < best_distance {
best_distance = distance;
best_cluster = i;
}
}
best_cluster
}
pub fn decompress(&self,
indices: &[u64],
result: &QuantumAmplitudeClusteringResult) -> SparseQuantumState {
let mut amplitudes = BTreeMap::new();
for &index in indices {
if let Some(&cluster_id) = result.cluster_assignments.get(&index) {
if cluster_id < result.cluster_centers.len() {
amplitudes.insert(index, result.cluster_centers[cluster_id]);
}
}
}
let num_qubits = (indices.iter().max().unwrap_or(&0) + 1).next_power_of_two().trailing_zeros() as usize;
SparseQuantumState {
amplitudes,
num_qubits,
norm: 1.0,
metadata: None,
}
}
}
#[derive(Debug, Clone)]
pub struct QuantumAmplitudeClusteringResult {
pub cluster_centers: Vec<Complex64>,
pub cluster_assignments: HashMap<u64, usize>,
pub compression_ratio: f64,
pub fidelity: f64,
}
#[derive(Debug, Clone, Default)]
pub struct CompressionStatistics {
pub total_bytes_compressed: u64,
pub compression_operations: u64,
pub decompression_operations: u64,
pub average_compression_ratio: f64,
pub average_compression_time_ms: f64,
pub average_decompression_time_ms: f64,
pub memory_saved_bytes: u64,
pub average_fidelity: f64,
}
impl CompressionStatistics {
pub fn record_compression(&mut self,
original_size: usize,
compressed_size: usize,
compression_time: Duration,
fidelity: f64) {
self.total_bytes_compressed += original_size as u64;
self.compression_operations += 1;
let compression_ratio = original_size as f64 / compressed_size as f64;
self.average_compression_ratio =
(self.average_compression_ratio * (self.compression_operations - 1) as f64 + compression_ratio)
/ self.compression_operations as f64;
let compression_time_ms = compression_time.as_secs_f64() * 1000.0;
self.average_compression_time_ms =
(self.average_compression_time_ms * (self.compression_operations - 1) as f64 + compression_time_ms)
/ self.compression_operations as f64;
self.memory_saved_bytes += (original_size - compressed_size) as u64;
self.average_fidelity =
(self.average_fidelity * (self.compression_operations - 1) as f64 + fidelity)
/ self.compression_operations as f64;
}
pub fn record_decompression(&mut self, decompression_time: Duration) {
self.decompression_operations += 1;
let decompression_time_ms = decompression_time.as_secs_f64() * 1000.0;
self.average_decompression_time_ms =
(self.average_decompression_time_ms * (self.decompression_operations - 1) as f64 + decompression_time_ms)
/ self.decompression_operations as f64;
}
}
pub struct SparseQuantumStateCompressor {
config: CompressionConfig,
amplitude_clusterer: QuantumAmplitudeClustering,
stats: Arc<Mutex<CompressionStatistics>>,
compression_cache: Arc<RwLock<HashMap<Uuid, CompressedState>>>,
}
#[derive(Debug, Clone)]
pub struct CompressionConfig {
pub algorithm: CompressionAlgorithm,
pub sparsity_threshold: f64,
pub fidelity_threshold: f64,
pub enable_caching: bool,
pub max_cache_size: usize,
pub amplitude_clusters: usize,
pub compression_level: u32,
}
impl Default for CompressionConfig {
fn default() -> Self {
Self {
algorithm: CompressionAlgorithm::Hybrid,
sparsity_threshold: 1e-12,
fidelity_threshold: 0.999,
enable_caching: true,
max_cache_size: 1000,
amplitude_clusters: 256,
compression_level: 6,
}
}
}
#[derive(Debug, Clone)]
pub struct CompressedState {
pub data: Vec<u8>,
pub metadata: CompressionMetadata,
pub indices: Vec<u64>,
}
impl SparseQuantumStateCompressor {
pub fn new(config: CompressionConfig) -> Self {
let amplitude_clusterer = QuantumAmplitudeClustering::new(
config.amplitude_clusters,
1e-15
);
Self {
config,
amplitude_clusterer,
stats: Arc::new(Mutex::new(CompressionStatistics::default())),
compression_cache: Arc::new(RwLock::new(HashMap::new())),
}
}
pub fn compress(&mut self, state: &SparseQuantumState) -> Result<CompressedState, CompressionError> {
let start_time = Instant::now();
let mut working_state = state.clone();
working_state.apply_sparsity_threshold(self.config.sparsity_threshold);
let result = match self.config.algorithm {
CompressionAlgorithm::None => self.compress_none(&working_state)?,
CompressionAlgorithm::LZ4 => self.compress_lz4(&working_state)?,
CompressionAlgorithm::Zlib => self.compress_zlib(&working_state)?,
CompressionAlgorithm::QuantumAmplitudeClustering => self.compress_amplitude_clustering(&working_state)?,
CompressionAlgorithm::Hybrid => self.compress_hybrid(&working_state)?,
};
let compression_time = start_time.elapsed();
if let Ok(mut stats) = self.stats.lock() {
let original_size = state.amplitudes.len() * std::mem::size_of::<Complex64>();
stats.record_compression(
original_size,
result.data.len(),
compression_time,
result.metadata.fidelity,
);
}
if self.config.enable_caching {
self.cache_compressed_state(result.clone());
}
Ok(result)
}
pub fn decompress(&self, compressed: &CompressedState) -> Result<SparseQuantumState, CompressionError> {
let start_time = Instant::now();
let result = match compressed.metadata.algorithm {
CompressionAlgorithm::None => self.decompress_none(compressed)?,
CompressionAlgorithm::LZ4 => self.decompress_lz4(compressed)?,
CompressionAlgorithm::Zlib => self.decompress_zlib(compressed)?,
CompressionAlgorithm::QuantumAmplitudeClustering => self.decompress_amplitude_clustering(compressed)?,
CompressionAlgorithm::Hybrid => self.decompress_hybrid(compressed)?,
};
let decompression_time = start_time.elapsed();
if let Ok(mut stats) = self.stats.lock() {
stats.record_decompression(decompression_time);
}
Ok(result)
}
fn compress_none(&self, state: &SparseQuantumState) -> Result<CompressedState, CompressionError> {
let serialized = oxicode::serde::encode_to_vec(state, oxicode::config::standard())
.map_err(|e| CompressionError::SerializationError(format!("{e:?}")))?;
let metadata = CompressionMetadata {
id: Uuid::new_v4(),
original_size: serialized.len(),
compressed_size: serialized.len(),
compression_ratio: 1.0,
algorithm: CompressionAlgorithm::None,
num_qubits: state.num_qubits,
sparsity: state.sparsity(),
timestamp: std::time::SystemTime::now(),
fidelity: 1.0,
};
Ok(CompressedState {
data: serialized,
metadata,
indices: state.amplitudes.keys().copied().collect(),
})
}
fn compress_lz4(&self, state: &SparseQuantumState) -> Result<CompressedState, CompressionError> {
let serialized = oxicode::serde::encode_to_vec(state, oxicode::config::standard())
.map_err(|e| CompressionError::SerializationError(format!("{e:?}")))?;
let compressed_data = oxiarc_lz4::compress_bytes(&serialized)
.map_err(|e| CompressionError::CompressionFailed(e.to_string()))?;
let metadata = CompressionMetadata {
id: Uuid::new_v4(),
original_size: serialized.len(),
compressed_size: compressed_data.len(),
compression_ratio: serialized.len() as f64 / compressed_data.len() as f64,
algorithm: CompressionAlgorithm::LZ4,
num_qubits: state.num_qubits,
sparsity: state.sparsity(),
timestamp: std::time::SystemTime::now(),
fidelity: 1.0,
};
Ok(CompressedState {
data: compressed_data,
metadata,
indices: state.amplitudes.keys().copied().collect(),
})
}
fn compress_zlib(&self, state: &SparseQuantumState) -> Result<CompressedState, CompressionError> {
let serialized = oxicode::serde::encode_to_vec(state, oxicode::config::standard())
.map_err(|e| CompressionError::SerializationError(format!("{e:?}")))?;
let compressed_data = oxiarc_deflate::zlib::zlib_compress(&serialized, self.config.compression_level as u8)
.map_err(|e| CompressionError::CompressionFailed(e.to_string()))?;
let metadata = CompressionMetadata {
id: Uuid::new_v4(),
original_size: serialized.len(),
compressed_size: compressed_data.len(),
compression_ratio: serialized.len() as f64 / compressed_data.len() as f64,
algorithm: CompressionAlgorithm::Zlib,
num_qubits: state.num_qubits,
sparsity: state.sparsity(),
timestamp: std::time::SystemTime::now(),
fidelity: 1.0,
};
Ok(CompressedState {
data: compressed_data,
metadata,
indices: state.amplitudes.keys().copied().collect(),
})
}
fn compress_amplitude_clustering(&mut self, state: &SparseQuantumState) -> Result<CompressedState, CompressionError> {
let clustering_result = self.amplitude_clusterer.compress(state);
let compressed_data = oxicode::serde::encode_to_vec(&clustering_result, oxicode::config::standard())
.map_err(|e| CompressionError::SerializationError(format!("{e:?}")))?;
let original_size = state.amplitudes.len() * std::mem::size_of::<Complex64>();
let metadata = CompressionMetadata {
id: Uuid::new_v4(),
original_size,
compressed_size: compressed_data.len(),
compression_ratio: clustering_result.compression_ratio,
algorithm: CompressionAlgorithm::QuantumAmplitudeClustering,
num_qubits: state.num_qubits,
sparsity: state.sparsity(),
timestamp: std::time::SystemTime::now(),
fidelity: clustering_result.fidelity,
};
Ok(CompressedState {
data: compressed_data,
metadata,
indices: state.amplitudes.keys().copied().collect(),
})
}
fn compress_hybrid(&mut self, state: &SparseQuantumState) -> Result<CompressedState, CompressionError> {
let algorithms = vec![
CompressionAlgorithm::LZ4,
CompressionAlgorithm::Zlib,
CompressionAlgorithm::QuantumAmplitudeClustering,
];
let mut best_result = None;
let mut best_score = f64::NEG_INFINITY;
for algorithm in algorithms {
let mut temp_compressor = Self::new(CompressionConfig {
algorithm,
..self.config.clone()
});
if let Ok(result) = temp_compressor.compress(state) {
let score = result.metadata.compression_ratio * result.metadata.fidelity;
if score > best_score && result.metadata.fidelity >= self.config.fidelity_threshold {
best_score = score;
best_result = Some(result);
}
}
}
best_result.ok_or(CompressionError::NoSuitableAlgorithm)
}
fn decompress_none(&self, compressed: &CompressedState) -> Result<SparseQuantumState, CompressionError> {
oxicode::serde::decode_from_slice(&compressed.data, oxicode::config::standard())
.map(|(v, _)| v)
.map_err(|e| CompressionError::DecompressionFailed(format!("{e:?}")))
}
fn decompress_lz4(&self, compressed: &CompressedState) -> Result<SparseQuantumState, CompressionError> {
let max_output = compressed.data.len().saturating_mul(10).max(1024);
let decompressed = oxiarc_lz4::decompress_bytes(&compressed.data, max_output)
.map_err(|e| CompressionError::DecompressionFailed(e.to_string()))?;
oxicode::serde::decode_from_slice(&decompressed, oxicode::config::standard())
.map(|(v, _)| v)
.map_err(|e| CompressionError::DecompressionFailed(format!("{e:?}")))
}
fn decompress_zlib(&self, compressed: &CompressedState) -> Result<SparseQuantumState, CompressionError> {
let decompressed = oxiarc_deflate::zlib::zlib_decompress(&compressed.data)
.map_err(|e| CompressionError::DecompressionFailed(e.to_string()))?;
oxicode::serde::decode_from_slice(&decompressed, oxicode::config::standard())
.map(|(v, _)| v)
.map_err(|e| CompressionError::DecompressionFailed(format!("{e:?}")))
}
fn decompress_amplitude_clustering(&self, compressed: &CompressedState) -> Result<SparseQuantumState, CompressionError> {
let clustering_result: QuantumAmplitudeClusteringResult =
oxicode::serde::decode_from_slice(&compressed.data, oxicode::config::standard())
.map(|(v, _)| v)
.map_err(|e| CompressionError::DecompressionFailed(format!("{e:?}")))?;
Ok(self.amplitude_clusterer.decompress(&compressed.indices, &clustering_result))
}
fn decompress_hybrid(&self, compressed: &CompressedState) -> Result<SparseQuantumState, CompressionError> {
match compressed.metadata.algorithm {
CompressionAlgorithm::LZ4 => self.decompress_lz4(compressed),
CompressionAlgorithm::Zlib => self.decompress_zlib(compressed),
CompressionAlgorithm::QuantumAmplitudeClustering => self.decompress_amplitude_clustering(compressed),
_ => self.decompress_none(compressed),
}
}
fn cache_compressed_state(&self, compressed: CompressedState) {
if let Ok(mut cache) = self.compression_cache.write() {
if cache.len() >= self.config.max_cache_size {
if let Some(oldest_key) = cache.keys().next().copied() {
cache.remove(&oldest_key);
}
}
cache.insert(compressed.metadata.id, compressed);
}
}
pub fn get_statistics(&self) -> CompressionStatistics {
self.stats
.lock()
.map(|guard| guard.clone())
.unwrap_or_default()
}
pub fn clear_cache(&self) {
if let Ok(mut cache) = self.compression_cache.write() {
cache.clear();
}
}
}
#[derive(Debug, Clone)]
pub enum CompressionError {
SerializationError(String),
CompressionFailed(String),
DecompressionFailed(String),
NoSuitableAlgorithm,
CacheError(String),
}
impl std::fmt::Display for CompressionError {
fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
match self {
CompressionError::SerializationError(msg) => write!(f, "Serialization error: {}", msg),
CompressionError::CompressionFailed(msg) => write!(f, "Compression failed: {}", msg),
CompressionError::DecompressionFailed(msg) => write!(f, "Decompression failed: {}", msg),
CompressionError::NoSuitableAlgorithm => write!(f, "No suitable compression algorithm found"),
CompressionError::CacheError(msg) => write!(f, "Cache error: {}", msg),
}
}
}
impl std::error::Error for CompressionError {}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_sparse_quantum_state_creation() {
let state = SparseQuantumState::new(4);
assert_eq!(state.num_qubits, 4);
assert_eq!(state.sparsity(), 0.0);
}
#[test]
fn test_sparse_from_dense_conversion() {
let dense_state = vec![
Complex64::new(0.7071, 0.0),
Complex64::new(0.0, 0.0),
Complex64::new(0.0, 0.0),
Complex64::new(0.7071, 0.0),
];
let sparse_state = SparseQuantumState::from_dense(&dense_state, 1e-10);
assert_eq!(sparse_state.num_qubits, 2);
assert_eq!(sparse_state.amplitudes.len(), 2);
let recovered_dense = sparse_state.to_dense();
assert_eq!(recovered_dense.len(), 4);
}
#[test]
fn test_compression_lz4() {
let mut state = SparseQuantumState::new(10);
for i in 0..100 {
state.amplitudes.insert(i, Complex64::new(0.1, 0.05));
}
let config = CompressionConfig {
algorithm: CompressionAlgorithm::LZ4,
..Default::default()
};
let mut compressor = SparseQuantumStateCompressor::new(config);
let compressed = compressor
.compress(&state)
.expect("Failed to compress state with LZ4");
assert!(compressed.metadata.compression_ratio > 1.0);
assert_eq!(compressed.metadata.algorithm, CompressionAlgorithm::LZ4);
let decompressed = compressor
.decompress(&compressed)
.expect("Failed to decompress LZ4 state");
assert_eq!(decompressed.amplitudes.len(), state.amplitudes.len());
}
#[test]
fn test_amplitude_clustering() {
let mut clusterer = QuantumAmplitudeClustering::new(4, 1e-10);
let mut state = SparseQuantumState::new(8);
state.amplitudes.insert(0, Complex64::new(0.5, 0.0));
state.amplitudes.insert(1, Complex64::new(0.5, 0.01));
state.amplitudes.insert(2, Complex64::new(0.5, -0.01));
state.amplitudes.insert(3, Complex64::new(0.0, 0.5));
state.amplitudes.insert(4, Complex64::new(0.01, 0.5));
let result = clusterer.compress(&state);
assert!(result.compression_ratio > 1.0);
assert!(result.fidelity > 0.9);
assert_eq!(result.cluster_centers.len(), 4);
}
#[test]
fn test_compression_statistics() {
let mut stats = CompressionStatistics::default();
stats.record_compression(1000, 500, Duration::from_millis(10), 0.999);
stats.record_compression(2000, 800, Duration::from_millis(15), 0.995);
assert_eq!(stats.compression_operations, 2);
assert_eq!(stats.total_bytes_compressed, 3000);
assert!(stats.average_compression_ratio > 1.0);
assert!(stats.average_fidelity > 0.99);
}
#[test]
fn test_hybrid_compression() {
let mut state = SparseQuantumState::new(12);
for i in 0..200 {
let amplitude = if i % 3 == 0 {
Complex64::new(0.1, 0.0)
} else if i % 5 == 0 {
Complex64::new(0.0, 0.1)
} else {
Complex64::new(0.05, 0.05)
};
state.amplitudes.insert(i, amplitude);
}
let config = CompressionConfig {
algorithm: CompressionAlgorithm::Hybrid,
fidelity_threshold: 0.99,
..Default::default()
};
let mut compressor = SparseQuantumStateCompressor::new(config);
let compressed = compressor
.compress(&state)
.expect("Failed to compress state with hybrid algorithm");
assert!(compressed.metadata.compression_ratio > 1.0);
assert!(compressed.metadata.fidelity >= 0.99);
let decompressed = compressor
.decompress(&compressed)
.expect("Failed to decompress hybrid state");
assert_eq!(decompressed.num_qubits, state.num_qubits);
}
}