use crate::error::{Result, SimulatorError};
use scirs2_core::ndarray::{Array1, Array2, Array3, Array4, Axis};
use scirs2_core::Complex64;
use std::collections::{HashMap, HashSet, VecDeque};
use super::functions::AnyonModelImplementation;
use super::types::{
AbelianAnyons, AnyonConfiguration, AnyonModel, AnyonType, AnyonWorldline, BraidingOperation,
BraidingType, ChernSimonsAnyons, FibonacciAnyons, IsingAnyons, LatticeType, LogicalOperators,
NonAbelianAnyons, ParafermionAnyons, StabilizerType, SurfaceCode, SyndromeDetector,
TopologicalConfig, TopologicalErrorCode, TopologicalInvariants, TopologicalLattice,
TopologicalSimulationStats, TopologicalState,
};
use super::topologicalquantumsimulator_type::TopologicalQuantumSimulator;
impl TopologicalQuantumSimulator {
pub fn new(config: TopologicalConfig) -> Result<Self> {
let lattice = Self::create_lattice(&config)?;
let anyon_model = Self::create_anyon_model(&config.anyon_model)?;
let initial_state = Self::create_initial_topological_state(&config, &lattice)?;
let error_correction = if config.topological_protection {
Some(Self::create_surface_code(&config, &lattice)?)
} else {
None
};
Ok(Self {
config,
state: initial_state,
lattice,
anyon_model,
error_correction,
braiding_history: Vec::new(),
stats: TopologicalSimulationStats::default(),
})
}
pub(super) fn create_lattice(config: &TopologicalConfig) -> Result<TopologicalLattice> {
match config.lattice_type {
LatticeType::SquareLattice => Self::create_square_lattice(&config.dimensions),
LatticeType::TriangularLattice => Self::create_triangular_lattice(&config.dimensions),
LatticeType::HexagonalLattice => Self::create_hexagonal_lattice(&config.dimensions),
LatticeType::HoneycombLattice => Self::create_honeycomb_lattice(&config.dimensions),
LatticeType::KagomeLattice => Self::create_kagome_lattice(&config.dimensions),
LatticeType::CustomLattice => Self::create_custom_lattice(&config.dimensions),
}
}
pub(super) fn create_square_lattice(dimensions: &[usize]) -> Result<TopologicalLattice> {
if dimensions.len() != 2 {
return Err(SimulatorError::InvalidInput(
"Square lattice requires 2D dimensions".to_string(),
));
}
let (width, height) = (dimensions[0], dimensions[1]);
let mut sites = Vec::new();
let mut bonds = Vec::new();
let mut plaquettes = Vec::new();
for y in 0..height {
for x in 0..width {
sites.push(vec![x as f64, y as f64]);
}
}
for y in 0..height {
for x in 0..width {
let site = y * width + x;
if x < width - 1 {
bonds.push((site, site + 1));
}
if y < height - 1 {
bonds.push((site, site + width));
}
}
}
for y in 0..height - 1 {
for x in 0..width - 1 {
let plaquette = vec![
y * width + x,
y * width + x + 1,
(y + 1) * width + x,
(y + 1) * width + x + 1,
];
plaquettes.push(plaquette);
}
}
Ok(TopologicalLattice {
lattice_type: LatticeType::SquareLattice,
dimensions: dimensions.to_vec(),
sites,
bonds,
plaquettes,
coordination_number: 4,
})
}
pub(super) fn create_triangular_lattice(dimensions: &[usize]) -> Result<TopologicalLattice> {
if dimensions.len() != 2 {
return Err(SimulatorError::InvalidInput(
"Triangular lattice requires 2D dimensions".to_string(),
));
}
let (width, height) = (dimensions[0], dimensions[1]);
let mut sites = Vec::new();
let mut bonds = Vec::new();
let mut plaquettes = Vec::new();
for y in 0..height {
for x in 0..width {
let x_pos = x as f64 + if y % 2 == 1 { 0.5 } else { 0.0 };
let y_pos = y as f64 * 3.0_f64.sqrt() / 2.0;
sites.push(vec![x_pos, y_pos]);
}
}
for y in 0..height {
for x in 0..width {
let site = y * width + x;
if x < width - 1 {
bonds.push((site, site + 1));
}
if y < height - 1 {
bonds.push((site, site + width));
if y % 2 == 0 && x < width - 1 {
bonds.push((site, site + width + 1));
} else if y % 2 == 1 && x > 0 {
bonds.push((site, site + width - 1));
}
}
}
}
for y in 0..height - 1 {
for x in 0..width - 1 {
if y % 2 == 0 {
let plaquette = vec![y * width + x, y * width + x + 1, (y + 1) * width + x];
plaquettes.push(plaquette);
}
}
}
Ok(TopologicalLattice {
lattice_type: LatticeType::TriangularLattice,
dimensions: dimensions.to_vec(),
sites,
bonds,
plaquettes,
coordination_number: 6,
})
}
pub(super) fn create_hexagonal_lattice(dimensions: &[usize]) -> Result<TopologicalLattice> {
if dimensions.len() != 2 {
return Err(SimulatorError::InvalidInput(
"Hexagonal lattice requires 2D dimensions".to_string(),
));
}
let (width, height) = (dimensions[0], dimensions[1]);
let mut sites = Vec::new();
let mut bonds = Vec::new();
let mut plaquettes = Vec::new();
for y in 0..height {
for x in 0..width {
let x_pos = x as f64 * 1.5;
let y_pos = (y as f64).mul_add(
3.0_f64.sqrt(),
if x % 2 == 1 {
3.0_f64.sqrt() / 2.0
} else {
0.0
},
);
sites.push(vec![x_pos, y_pos]);
}
}
for y in 0..height {
for x in 0..width {
let site = y * width + x;
if x < width - 1 {
bonds.push((site, site + 1));
}
if y < height - 1 {
bonds.push((site, site + width));
}
if y > 0 {
bonds.push((site, site - width));
}
}
}
for y in 1..height - 1 {
for x in 1..width - 1 {
let plaquette = vec![
(y - 1) * width + x,
(y - 1) * width + x + 1,
y * width + x + 1,
(y + 1) * width + x + 1,
(y + 1) * width + x,
y * width + x,
];
plaquettes.push(plaquette);
}
}
Ok(TopologicalLattice {
lattice_type: LatticeType::HexagonalLattice,
dimensions: dimensions.to_vec(),
sites,
bonds,
plaquettes,
coordination_number: 3,
})
}
pub(super) fn create_honeycomb_lattice(dimensions: &[usize]) -> Result<TopologicalLattice> {
if dimensions.len() != 2 {
return Err(SimulatorError::InvalidInput(
"Honeycomb lattice requires 2D dimensions".to_string(),
));
}
let (width, height) = (dimensions[0], dimensions[1]);
let mut sites = Vec::new();
let mut bonds = Vec::new();
let mut plaquettes = Vec::new();
for y in 0..height {
for x in 0..width {
let x_a = x as f64 * 3.0 / 2.0;
let y_a = y as f64 * 3.0_f64.sqrt();
sites.push(vec![x_a, y_a]);
let x_b = x as f64 * 3.0 / 2.0 + 1.0;
let y_b = (y as f64).mul_add(3.0_f64.sqrt(), 3.0_f64.sqrt() / 3.0);
sites.push(vec![x_b, y_b]);
}
}
for y in 0..height {
for x in 0..width {
let a_site = 2 * (y * width + x);
let b_site = a_site + 1;
bonds.push((a_site, b_site));
if x < width - 1 {
bonds.push((b_site, a_site + 2));
}
if y < height - 1 {
bonds.push((b_site, a_site + 2 * width));
}
}
}
for y in 0..height - 1 {
for x in 0..width - 1 {
let plaquette = vec![
2 * (y * width + x),
2 * (y * width + x) + 1,
2 * (y * width + x + 1),
2 * (y * width + x + 1) + 1,
2 * ((y + 1) * width + x),
2 * ((y + 1) * width + x) + 1,
];
plaquettes.push(plaquette);
}
}
Ok(TopologicalLattice {
lattice_type: LatticeType::HoneycombLattice,
dimensions: dimensions.to_vec(),
sites,
bonds,
plaquettes,
coordination_number: 3,
})
}
pub(super) fn create_kagome_lattice(dimensions: &[usize]) -> Result<TopologicalLattice> {
if dimensions.len() != 2 {
return Err(SimulatorError::InvalidInput(
"Kagome lattice requires 2D dimensions".to_string(),
));
}
let (width, height) = (dimensions[0], dimensions[1]);
let mut sites = Vec::new();
let mut bonds = Vec::new();
let mut plaquettes = Vec::new();
for y in 0..height {
for x in 0..width {
let base_x = x as f64 * 2.0;
let base_y = y as f64 * 3.0_f64.sqrt();
sites.push(vec![base_x, base_y]);
sites.push(vec![base_x + 1.0, base_y]);
sites.push(vec![base_x + 0.5, base_y + 3.0_f64.sqrt() / 2.0]);
}
}
for y in 0..height {
for x in 0..width {
let base_site = 3 * (y * width + x);
bonds.push((base_site, base_site + 1));
bonds.push((base_site + 1, base_site + 2));
bonds.push((base_site + 2, base_site));
if x < width - 1 {
bonds.push((base_site + 1, base_site + 3));
}
if y < height - 1 {
bonds.push((base_site + 2, base_site + 3 * width));
}
}
}
for y in 0..height {
for x in 0..width {
let base_site = 3 * (y * width + x);
let triangle = vec![base_site, base_site + 1, base_site + 2];
plaquettes.push(triangle);
if x < width - 1 && y < height - 1 {
let hexagon = vec![
base_site + 1,
base_site + 3,
base_site + 3 + 2,
base_site + 3 * width + 2,
base_site + 3 * width,
base_site + 2,
];
plaquettes.push(hexagon);
}
}
}
Ok(TopologicalLattice {
lattice_type: LatticeType::KagomeLattice,
dimensions: dimensions.to_vec(),
sites,
bonds,
plaquettes,
coordination_number: 4,
})
}
pub(super) fn create_anyon_model(
model: &AnyonModel,
) -> Result<Box<dyn AnyonModelImplementation + Send + Sync>> {
match model {
AnyonModel::Abelian => Ok(Box::new(AbelianAnyons::new())),
AnyonModel::NonAbelian => Ok(Box::new(NonAbelianAnyons::new())),
AnyonModel::Fibonacci => Ok(Box::new(FibonacciAnyons::new())),
AnyonModel::Ising => Ok(Box::new(IsingAnyons::new())),
AnyonModel::Parafermion => Ok(Box::new(ParafermionAnyons::new())),
AnyonModel::ChernSimons(k) => Ok(Box::new(ChernSimonsAnyons::new(*k))),
}
}
pub(super) fn create_initial_topological_state(
config: &TopologicalConfig,
lattice: &TopologicalLattice,
) -> Result<TopologicalState> {
let anyon_config = AnyonConfiguration {
anyons: Vec::new(),
worldlines: Vec::new(),
fusion_tree: None,
total_charge: 0,
};
let degeneracy = Self::calculate_ground_state_degeneracy(config, lattice);
let amplitudes = Array1::zeros(degeneracy);
let topological_invariants = TopologicalInvariants::default();
Ok(TopologicalState {
anyon_config,
amplitudes,
degeneracy,
topological_invariants,
energy_gap: config.magnetic_field,
})
}
pub(super) fn create_surface_code(
config: &TopologicalConfig,
lattice: &TopologicalLattice,
) -> Result<SurfaceCode> {
match config.error_correction_code {
TopologicalErrorCode::SurfaceCode => {
Self::create_toric_surface_code(&config.dimensions)
}
TopologicalErrorCode::ColorCode => Self::create_color_code(&config.dimensions),
_ => Self::create_toric_surface_code(&config.dimensions),
}
}
pub(super) fn create_toric_surface_code(dimensions: &[usize]) -> Result<SurfaceCode> {
if dimensions.len() != 2 {
return Err(SimulatorError::InvalidInput(
"Surface code requires 2D lattice".to_string(),
));
}
let distance = dimensions[0].min(dimensions[1]);
let mut data_qubits = Vec::new();
let mut x_stabilizers = Vec::new();
let mut z_stabilizers = Vec::new();
for y in 0..distance {
for x in 0..distance {
data_qubits.push(vec![x, y, 0]);
data_qubits.push(vec![x, y, 1]);
}
}
for y in 0..distance {
for x in 0..distance {
let stabilizer_pos = vec![x, y];
x_stabilizers.push(stabilizer_pos);
}
}
for y in 0..distance - 1 {
for x in 0..distance - 1 {
let stabilizer_pos = vec![x, y];
z_stabilizers.push(stabilizer_pos);
}
}
let logical_x = vec![Array1::from_elem(distance, true)];
let logical_z = vec![Array1::from_elem(distance, true)];
let logical_operators = LogicalOperators {
logical_x,
logical_z,
num_logical_qubits: 1,
};
let mut syndrome_detectors = Vec::new();
for stabilizer in &x_stabilizers {
let detector = SyndromeDetector {
stabilizer_type: StabilizerType::PauliX,
measured_qubits: vec![0, 1, 2, 3],
threshold: 0.5,
correction_map: HashMap::new(),
};
syndrome_detectors.push(detector);
}
for stabilizer in &z_stabilizers {
let detector = SyndromeDetector {
stabilizer_type: StabilizerType::PauliZ,
measured_qubits: vec![0, 1, 2, 3],
threshold: 0.5,
correction_map: HashMap::new(),
};
syndrome_detectors.push(detector);
}
Ok(SurfaceCode {
distance,
data_qubits,
x_stabilizers,
z_stabilizers,
logical_operators,
syndrome_detectors,
})
}
pub fn place_anyon(&mut self, anyon_type: AnyonType, position: Vec<usize>) -> Result<usize> {
if position.len() != self.config.dimensions.len() {
return Err(SimulatorError::InvalidInput(
"Position dimension mismatch".to_string(),
));
}
for (i, &pos) in position.iter().enumerate() {
if pos >= self.config.dimensions[i] {
return Err(SimulatorError::InvalidInput(
"Position out of bounds".to_string(),
));
}
}
let anyon_id = self.state.anyon_config.anyons.len();
self.state
.anyon_config
.anyons
.push((position.clone(), anyon_type.clone()));
self.state.anyon_config.total_charge += anyon_type.topological_charge;
let worldline = AnyonWorldline {
anyon_type,
path: vec![position],
time_stamps: vec![0.0],
accumulated_phase: Complex64::new(1.0, 0.0),
};
self.state.anyon_config.worldlines.push(worldline);
Ok(anyon_id)
}
pub fn braid_anyons(
&mut self,
anyon_a: usize,
anyon_b: usize,
braiding_type: BraidingType,
) -> Result<Complex64> {
let start_time = std::time::Instant::now();
if anyon_a >= self.state.anyon_config.anyons.len()
|| anyon_b >= self.state.anyon_config.anyons.len()
{
return Err(SimulatorError::InvalidInput(
"Invalid anyon indices".to_string(),
));
}
let (_, ref type_a) = &self.state.anyon_config.anyons[anyon_a];
let (_, ref type_b) = &self.state.anyon_config.anyons[anyon_b];
let braiding_matrix = self.anyon_model.braiding_matrix(type_a, type_b);
let braiding_phase = match braiding_type {
BraidingType::Clockwise => type_a.r_matrix * type_b.r_matrix.conj(),
BraidingType::Counterclockwise => type_a.r_matrix.conj() * type_b.r_matrix,
BraidingType::Exchange => type_a.r_matrix * type_b.r_matrix,
BraidingType::Identity => Complex64::new(1.0, 0.0),
};
let current_time = self.braiding_history.len() as f64;
if anyon_a < self.state.anyon_config.worldlines.len() {
self.state.anyon_config.worldlines[anyon_a]
.time_stamps
.push(current_time);
self.state.anyon_config.worldlines[anyon_a].accumulated_phase *= braiding_phase;
}
if anyon_b < self.state.anyon_config.worldlines.len() {
self.state.anyon_config.worldlines[anyon_b]
.time_stamps
.push(current_time);
self.state.anyon_config.worldlines[anyon_b].accumulated_phase *= braiding_phase.conj();
}
for amplitude in &mut self.state.amplitudes {
*amplitude *= braiding_phase;
}
let execution_time = start_time.elapsed().as_secs_f64() * 1000.0;
let braiding_op = BraidingOperation {
anyon_indices: vec![anyon_a, anyon_b],
braiding_type,
braiding_matrix,
execution_time,
};
self.braiding_history.push(braiding_op);
self.stats.braiding_operations += 1;
self.stats.avg_braiding_time_ms = self
.stats
.avg_braiding_time_ms
.mul_add((self.stats.braiding_operations - 1) as f64, execution_time)
/ self.stats.braiding_operations as f64;
Ok(braiding_phase)
}
pub(super) fn create_anyon_from_label(&self, label: &str) -> Result<AnyonType> {
match label {
"vacuum" => Ok(AnyonType::vacuum()),
"sigma" => Ok(AnyonType::sigma()),
"tau" => Ok(AnyonType::tau()),
_ => Ok(AnyonType {
label: label.to_string(),
quantum_dimension: 1.0,
topological_charge: 0,
fusion_rules: HashMap::new(),
r_matrix: Complex64::new(1.0, 0.0),
is_abelian: true,
}),
}
}
pub(super) fn calculate_berry_phase(&self) -> Result<f64> {
let total_braiding_phase: Complex64 = self
.state
.anyon_config
.worldlines
.iter()
.map(|wl| wl.accumulated_phase)
.fold(Complex64::new(1.0, 0.0), |acc, phase| acc * phase);
Ok(total_braiding_phase.arg())
}
pub fn detect_and_correct_errors(&mut self) -> Result<Vec<bool>> {
if let Some(ref surface_code) = self.error_correction {
let mut syndrome = Vec::new();
for detector in &surface_code.syndrome_detectors {
let measurement = self.measure_stabilizer(detector)?;
syndrome.push(measurement);
}
let corrections = self.decode_syndrome(&syndrome)?;
self.apply_corrections(&corrections)?;
self.stats.error_corrections += 1;
Ok(syndrome)
} else {
Ok(Vec::new())
}
}
pub(super) fn decode_syndrome(&self, syndrome: &[bool]) -> Result<Vec<usize>> {
let mut corrections = Vec::new();
for (i, &error) in syndrome.iter().enumerate() {
if error {
corrections.push(i);
}
}
Ok(corrections)
}
pub(super) fn apply_corrections(&mut self, corrections: &[usize]) -> Result<()> {
for &correction_site in corrections {
if correction_site < self.state.amplitudes.len() {
self.state.amplitudes[correction_site] *= Complex64::new(-1.0, 0.0);
}
}
Ok(())
}
}