use crate::builder::Circuit;
use quantrs2_core::{
error::{QuantRS2Error, QuantRS2Result},
gate::GateOp,
qubit::QubitId,
};
use serde::{Deserialize, Serialize};
use std::collections::{HashMap, HashSet, VecDeque};
use std::sync::Arc;
#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
pub enum QECCode {
SurfaceCode { distance: usize },
ColorCode { distance: usize },
RepetitionCode { distance: usize },
SteaneCode,
ShorCode,
BaconShorCode { m: usize, n: usize },
ConcatenatedCode {
inner_code: Box<Self>,
outer_code: Box<Self>,
levels: usize,
},
}
impl QECCode {
#[must_use]
pub fn physical_qubits(&self) -> usize {
match self {
Self::SurfaceCode { distance } => distance * distance,
Self::ColorCode { distance } => 2 * distance * distance - 2 * distance + 1,
Self::RepetitionCode { distance } => *distance,
Self::SteaneCode => 7,
Self::ShorCode => 9,
Self::BaconShorCode { m, n } => m * n,
Self::ConcatenatedCode {
inner_code, levels, ..
} => {
let base_qubits = inner_code.physical_qubits();
(0..*levels).fold(1, |acc, _| acc * base_qubits)
}
}
}
#[must_use]
pub fn distance(&self) -> usize {
match self {
Self::SurfaceCode { distance }
| Self::ColorCode { distance }
| Self::RepetitionCode { distance } => *distance,
Self::SteaneCode | Self::ShorCode => 3,
Self::BaconShorCode { m, n } => (*m).min(*n),
Self::ConcatenatedCode {
inner_code, levels, ..
} => {
let base_distance = inner_code.distance();
(0..*levels).fold(1, |acc, _| acc * base_distance)
}
}
}
#[must_use]
pub fn can_correct(&self, t: usize) -> bool {
self.distance() > 2 * t
}
}
#[derive(Debug, Clone)]
pub struct LogicalQubit {
pub id: usize,
pub physical_qubits: Vec<usize>,
pub code: QECCode,
pub syndrome: Option<Vec<u8>>,
pub error_count: usize,
}
impl LogicalQubit {
#[must_use]
pub fn new(id: usize, code: QECCode) -> Self {
let num_physical = code.physical_qubits();
let physical_qubits = (id * num_physical..(id + 1) * num_physical).collect();
Self {
id,
physical_qubits,
code,
syndrome: None,
error_count: 0,
}
}
#[must_use]
pub fn data_qubits(&self) -> Vec<usize> {
match &self.code {
QECCode::SurfaceCode { distance } => {
let mut data_qubits = Vec::new();
for i in 0..*distance {
for j in 0..*distance {
if (i + j) % 2 == 0 {
data_qubits.push(self.physical_qubits[i * distance + j]);
}
}
}
data_qubits
}
QECCode::SteaneCode => {
self.physical_qubits[0..4].to_vec()
}
QECCode::ShorCode => {
vec![
self.physical_qubits[0],
self.physical_qubits[3],
self.physical_qubits[6],
]
}
_ => {
let half = self.physical_qubits.len() / 2;
self.physical_qubits[0..half].to_vec()
}
}
}
#[must_use]
pub fn ancilla_qubits(&self) -> Vec<usize> {
let data_qubits = self.data_qubits();
self.physical_qubits
.iter()
.filter(|&&q| !data_qubits.contains(&q))
.copied()
.collect()
}
}
#[derive(Debug, Clone)]
pub struct FaultTolerantGate {
pub name: String,
pub logical_qubits: Vec<usize>,
pub physical_gates: Vec<PhysicalGate>,
pub syndrome_measurements: Vec<SyndromeMeasurement>,
pub magic_states: usize,
pub correction_overhead: f64,
}
#[derive(Debug, Clone)]
pub struct PhysicalGate {
pub gate_type: String,
pub qubits: Vec<usize>,
pub parameters: Vec<f64>,
pub time: Option<f64>,
}
#[derive(Debug, Clone)]
pub struct SyndromeMeasurement {
pub measurement_type: SyndromeType,
pub qubits: Vec<usize>,
pub ancilla: usize,
pub expected_value: u8,
}
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum SyndromeType {
XStabilizer,
ZStabilizer,
XZStabilizer,
}
#[derive(Debug, Clone, PartialEq)]
pub enum MagicState {
TState,
YState,
CCZState,
Custom { name: String, fidelity: f64 },
}
impl MagicState {
#[must_use]
pub const fn fidelity_threshold(&self) -> f64 {
match self {
Self::TState | Self::YState => 0.95,
Self::CCZState => 0.99,
Self::Custom { fidelity, .. } => *fidelity,
}
}
#[must_use]
pub const fn distillation_overhead(&self) -> f64 {
match self {
Self::TState => 15.0, Self::YState => 10.0,
Self::CCZState => 50.0,
Self::Custom { .. } => 20.0,
}
}
}
pub struct FaultTolerantCompiler {
default_code: QECCode,
magic_state_factory: MagicStateFactory,
error_threshold: f64,
options: CompilationOptions,
}
#[derive(Debug, Clone)]
pub struct MagicStateFactory {
supported_states: Vec<MagicState>,
production_rate: HashMap<MagicState, f64>,
distillation_protocols: HashMap<MagicState, DistillationProtocol>,
}
#[derive(Debug, Clone)]
pub struct DistillationProtocol {
pub name: String,
pub input_fidelity: f64,
pub output_fidelity: f64,
pub success_probability: f64,
pub qubits_required: usize,
pub time_overhead: f64,
}
#[derive(Debug, Clone)]
pub struct CompilationOptions {
pub optimize_space: bool,
pub optimize_time: bool,
pub recycle_magic_states: bool,
pub syndrome_frequency: usize,
pub correction_strategy: CorrectionStrategy,
}
#[derive(Debug, Clone, PartialEq)]
pub enum CorrectionStrategy {
Immediate,
Deferred,
Adaptive { threshold: f64 },
}
impl Default for CompilationOptions {
fn default() -> Self {
Self {
optimize_space: false,
optimize_time: true,
recycle_magic_states: true,
syndrome_frequency: 1,
correction_strategy: CorrectionStrategy::Immediate,
}
}
}
impl FaultTolerantCompiler {
#[must_use]
pub fn new(code: QECCode) -> Self {
let magic_state_factory = MagicStateFactory {
supported_states: vec![MagicState::TState, MagicState::YState],
production_rate: HashMap::new(),
distillation_protocols: HashMap::new(),
};
Self {
default_code: code,
magic_state_factory,
error_threshold: 1e-3,
options: CompilationOptions::default(),
}
}
pub fn compile<const N: usize>(
&self,
logical_circuit: &Circuit<N>,
) -> QuantRS2Result<FaultTolerantCircuit> {
let logical_qubits = self.create_logical_qubits(N)?;
let mut ft_gates = Vec::new();
let mut magic_state_count = 0;
for gate in logical_circuit.gates() {
let ft_gate = self.compile_gate(gate.as_ref(), &logical_qubits)?;
magic_state_count += ft_gate.magic_states;
ft_gates.push(ft_gate);
}
let syndrome_circuits = self.generate_syndrome_circuits(&logical_qubits)?;
let total_physical_qubits: usize = logical_qubits
.iter()
.map(|lq| lq.physical_qubits.len())
.sum();
let ancilla_qubits = syndrome_circuits
.iter()
.map(|sc| sc.ancilla_qubits.len())
.sum::<usize>();
Ok(FaultTolerantCircuit {
logical_qubits,
ft_gates,
syndrome_circuits,
magic_state_requirements: magic_state_count,
physical_qubit_count: total_physical_qubits + ancilla_qubits,
error_threshold: self.error_threshold,
code: self.default_code.clone(),
})
}
fn create_logical_qubits(&self, num_logical: usize) -> QuantRS2Result<Vec<LogicalQubit>> {
let mut logical_qubits = Vec::new();
for i in 0..num_logical {
let logical_qubit = LogicalQubit::new(i, self.default_code.clone());
logical_qubits.push(logical_qubit);
}
Ok(logical_qubits)
}
fn compile_gate(
&self,
gate: &dyn GateOp,
logical_qubits: &[LogicalQubit],
) -> QuantRS2Result<FaultTolerantGate> {
let gate_name = gate.name();
let logical_targets: Vec<_> = gate.qubits().iter().map(|q| q.id() as usize).collect();
match gate_name {
"H" => self.compile_hadamard_gate(&logical_targets, logical_qubits),
"CNOT" => self.compile_cnot_gate(&logical_targets, logical_qubits),
"T" => self.compile_t_gate(&logical_targets, logical_qubits),
"S" => self.compile_s_gate(&logical_targets, logical_qubits),
"X" | "Y" | "Z" => self.compile_pauli_gate(gate_name, &logical_targets, logical_qubits),
_ => Err(QuantRS2Error::InvalidInput(format!(
"Gate {gate_name} not supported in fault-tolerant compilation"
))),
}
}
fn compile_hadamard_gate(
&self,
targets: &[usize],
logical_qubits: &[LogicalQubit],
) -> QuantRS2Result<FaultTolerantGate> {
if targets.len() != 1 {
return Err(QuantRS2Error::InvalidInput(
"Hadamard gate requires exactly one target".to_string(),
));
}
let target_lq = &logical_qubits[targets[0]];
let mut physical_gates = Vec::new();
match &target_lq.code {
QECCode::SurfaceCode { .. } => {
for &data_qubit in &target_lq.data_qubits() {
physical_gates.push(PhysicalGate {
gate_type: "H".to_string(),
qubits: vec![data_qubit],
parameters: vec![],
time: Some(1.0),
});
}
}
_ => {
physical_gates.push(PhysicalGate {
gate_type: "H".to_string(),
qubits: target_lq.data_qubits(),
parameters: vec![],
time: Some(1.0),
});
}
}
Ok(FaultTolerantGate {
name: "H".to_string(),
logical_qubits: targets.to_vec(),
physical_gates,
syndrome_measurements: vec![],
magic_states: 0,
correction_overhead: 1.0,
})
}
fn compile_cnot_gate(
&self,
targets: &[usize],
logical_qubits: &[LogicalQubit],
) -> QuantRS2Result<FaultTolerantGate> {
if targets.len() != 2 {
return Err(QuantRS2Error::InvalidInput(
"CNOT gate requires exactly two targets".to_string(),
));
}
let control_lq = &logical_qubits[targets[0]];
let target_lq = &logical_qubits[targets[1]];
let mut physical_gates = Vec::new();
if let (QECCode::SurfaceCode { .. }, QECCode::SurfaceCode { .. }) =
(&control_lq.code, &target_lq.code)
{
let control_data = control_lq.data_qubits();
let target_data = target_lq.data_qubits();
for (i, (&c_qubit, &t_qubit)) in control_data.iter().zip(target_data.iter()).enumerate()
{
physical_gates.push(PhysicalGate {
gate_type: "CNOT".to_string(),
qubits: vec![c_qubit, t_qubit],
parameters: vec![],
time: Some(10.0), });
}
} else {
let control_data = control_lq.data_qubits();
let target_data = target_lq.data_qubits();
for (&c_qubit, &t_qubit) in control_data.iter().zip(target_data.iter()) {
physical_gates.push(PhysicalGate {
gate_type: "CNOT".to_string(),
qubits: vec![c_qubit, t_qubit],
parameters: vec![],
time: Some(2.0),
});
}
}
Ok(FaultTolerantGate {
name: "CNOT".to_string(),
logical_qubits: targets.to_vec(),
physical_gates,
syndrome_measurements: vec![],
magic_states: 0,
correction_overhead: 2.0,
})
}
fn compile_t_gate(
&self,
targets: &[usize],
logical_qubits: &[LogicalQubit],
) -> QuantRS2Result<FaultTolerantGate> {
if targets.len() != 1 {
return Err(QuantRS2Error::InvalidInput(
"T gate requires exactly one target".to_string(),
));
}
let target_lq = &logical_qubits[targets[0]];
let mut physical_gates = Vec::new();
let mut syndrome_measurements = Vec::new();
let data_qubits = target_lq.data_qubits();
let ancilla_qubits = target_lq.ancilla_qubits();
for (&data_qubit, &ancilla_qubit) in data_qubits.iter().zip(ancilla_qubits.iter()) {
physical_gates.push(PhysicalGate {
gate_type: "CNOT".to_string(),
qubits: vec![ancilla_qubit, data_qubit], parameters: vec![],
time: Some(1.0),
});
syndrome_measurements.push(SyndromeMeasurement {
measurement_type: SyndromeType::XStabilizer,
qubits: vec![ancilla_qubit],
ancilla: ancilla_qubit,
expected_value: 0,
});
}
Ok(FaultTolerantGate {
name: "T".to_string(),
logical_qubits: targets.to_vec(),
physical_gates,
syndrome_measurements,
magic_states: 1,
correction_overhead: 15.0, })
}
fn compile_s_gate(
&self,
targets: &[usize],
logical_qubits: &[LogicalQubit],
) -> QuantRS2Result<FaultTolerantGate> {
if targets.len() != 1 {
return Err(QuantRS2Error::InvalidInput(
"S gate requires exactly one target".to_string(),
));
}
let target_lq = &logical_qubits[targets[0]];
let mut physical_gates = Vec::new();
for &data_qubit in &target_lq.data_qubits() {
physical_gates.push(PhysicalGate {
gate_type: "S".to_string(),
qubits: vec![data_qubit],
parameters: vec![],
time: Some(1.0),
});
}
Ok(FaultTolerantGate {
name: "S".to_string(),
logical_qubits: targets.to_vec(),
physical_gates,
syndrome_measurements: vec![],
magic_states: 0,
correction_overhead: 1.0,
})
}
fn compile_pauli_gate(
&self,
gate_name: &str,
targets: &[usize],
logical_qubits: &[LogicalQubit],
) -> QuantRS2Result<FaultTolerantGate> {
if targets.len() != 1 {
return Err(QuantRS2Error::InvalidInput(
"Pauli gate requires exactly one target".to_string(),
));
}
let target_lq = &logical_qubits[targets[0]];
let mut physical_gates = Vec::new();
for &data_qubit in &target_lq.data_qubits() {
physical_gates.push(PhysicalGate {
gate_type: gate_name.to_string(),
qubits: vec![data_qubit],
parameters: vec![],
time: Some(1.0),
});
}
Ok(FaultTolerantGate {
name: gate_name.to_string(),
logical_qubits: targets.to_vec(),
physical_gates,
syndrome_measurements: vec![],
magic_states: 0,
correction_overhead: 1.0,
})
}
fn generate_syndrome_circuits(
&self,
logical_qubits: &[LogicalQubit],
) -> QuantRS2Result<Vec<SyndromeCircuit>> {
let mut circuits = Vec::new();
for logical_qubit in logical_qubits {
match &logical_qubit.code {
QECCode::SurfaceCode { distance } => {
circuits.push(self.generate_surface_code_syndrome(logical_qubit, *distance)?);
}
QECCode::SteaneCode => {
circuits.push(self.generate_steane_syndrome(logical_qubit)?);
}
_ => {
circuits.push(self.generate_generic_syndrome(logical_qubit)?);
}
}
}
Ok(circuits)
}
fn generate_surface_code_syndrome(
&self,
logical_qubit: &LogicalQubit,
distance: usize,
) -> QuantRS2Result<SyndromeCircuit> {
let mut measurements = Vec::new();
let mut ancilla_qubits = Vec::new();
for i in 0..distance - 1 {
for j in 0..distance {
if (i + j) % 2 == 1 {
let ancilla = logical_qubit.physical_qubits.len() + ancilla_qubits.len();
ancilla_qubits.push(ancilla);
let involved_qubits = vec![
logical_qubit.physical_qubits[i * distance + j],
logical_qubit.physical_qubits[(i + 1) * distance + j],
];
measurements.push(SyndromeMeasurement {
measurement_type: SyndromeType::XStabilizer,
qubits: involved_qubits,
ancilla,
expected_value: 0,
});
}
}
}
for i in 0..distance {
for j in 0..distance - 1 {
if (i + j) % 2 == 0 {
let ancilla = logical_qubit.physical_qubits.len() + ancilla_qubits.len();
ancilla_qubits.push(ancilla);
let involved_qubits = vec![
logical_qubit.physical_qubits[i * distance + j],
logical_qubit.physical_qubits[i * distance + j + 1],
];
measurements.push(SyndromeMeasurement {
measurement_type: SyndromeType::ZStabilizer,
qubits: involved_qubits,
ancilla,
expected_value: 0,
});
}
}
}
Ok(SyndromeCircuit {
logical_qubit_id: logical_qubit.id,
measurements: measurements.clone(),
ancilla_qubits,
syndrome_length: measurements.len(),
})
}
fn generate_steane_syndrome(
&self,
logical_qubit: &LogicalQubit,
) -> QuantRS2Result<SyndromeCircuit> {
let mut measurements = Vec::new();
let ancilla_qubits = vec![7, 8, 9, 10, 11, 12];
let x_stabilizers = [
[0, 1, 2, 3], [1, 2, 5, 6], [0, 3, 4, 5], ];
for (i, stabilizer) in x_stabilizers.iter().enumerate() {
measurements.push(SyndromeMeasurement {
measurement_type: SyndromeType::XStabilizer,
qubits: stabilizer
.iter()
.map(|&q| logical_qubit.physical_qubits[q])
.collect(),
ancilla: ancilla_qubits[i],
expected_value: 0,
});
}
let z_stabilizers = [
[0, 1, 4, 6], [1, 3, 4, 5], [0, 2, 3, 6], ];
for (i, stabilizer) in z_stabilizers.iter().enumerate() {
measurements.push(SyndromeMeasurement {
measurement_type: SyndromeType::ZStabilizer,
qubits: stabilizer
.iter()
.map(|&q| logical_qubit.physical_qubits[q])
.collect(),
ancilla: ancilla_qubits[i + 3],
expected_value: 0,
});
}
Ok(SyndromeCircuit {
logical_qubit_id: logical_qubit.id,
measurements,
ancilla_qubits,
syndrome_length: 6,
})
}
fn generate_generic_syndrome(
&self,
logical_qubit: &LogicalQubit,
) -> QuantRS2Result<SyndromeCircuit> {
let measurements = vec![SyndromeMeasurement {
measurement_type: SyndromeType::ZStabilizer,
qubits: logical_qubit.data_qubits(),
ancilla: logical_qubit.ancilla_qubits()[0],
expected_value: 0,
}];
Ok(SyndromeCircuit {
logical_qubit_id: logical_qubit.id,
measurements: measurements.clone(),
ancilla_qubits: logical_qubit.ancilla_qubits(),
syndrome_length: measurements.len(),
})
}
}
#[derive(Debug, Clone)]
pub struct SyndromeCircuit {
pub logical_qubit_id: usize,
pub measurements: Vec<SyndromeMeasurement>,
pub ancilla_qubits: Vec<usize>,
pub syndrome_length: usize,
}
#[derive(Debug, Clone)]
pub struct FaultTolerantCircuit {
pub logical_qubits: Vec<LogicalQubit>,
pub ft_gates: Vec<FaultTolerantGate>,
pub syndrome_circuits: Vec<SyndromeCircuit>,
pub magic_state_requirements: usize,
pub physical_qubit_count: usize,
pub error_threshold: f64,
pub code: QECCode,
}
impl FaultTolerantCircuit {
#[must_use]
pub fn execution_time(&self) -> f64 {
let gate_time: f64 = self
.ft_gates
.iter()
.flat_map(|gate| &gate.physical_gates)
.filter_map(|pg| pg.time)
.sum();
let syndrome_time = self.syndrome_circuits.len() as f64 * 10.0;
gate_time + syndrome_time
}
#[must_use]
pub fn resource_overhead(&self, logical_gates: usize) -> ResourceOverhead {
let space_overhead = self.physical_qubit_count as f64 / self.logical_qubits.len() as f64;
let physical_gates: usize = self
.ft_gates
.iter()
.map(|gate| gate.physical_gates.len())
.sum();
let time_overhead = physical_gates as f64 / logical_gates as f64;
ResourceOverhead {
space_overhead,
time_overhead,
magic_state_overhead: self.magic_state_requirements as f64,
}
}
}
#[derive(Debug, Clone)]
pub struct ResourceOverhead {
pub space_overhead: f64,
pub time_overhead: f64,
pub magic_state_overhead: f64,
}
#[cfg(test)]
mod tests {
use super::*;
use quantrs2_core::gate::multi::CNOT;
use quantrs2_core::gate::single::{Hadamard, PauliX};
#[test]
fn test_qec_code_properties() {
let surface_code = QECCode::SurfaceCode { distance: 3 };
assert_eq!(surface_code.physical_qubits(), 9);
assert_eq!(surface_code.distance(), 3);
assert!(surface_code.can_correct(1));
let steane_code = QECCode::SteaneCode;
assert_eq!(steane_code.physical_qubits(), 7);
assert_eq!(steane_code.distance(), 3);
}
#[test]
fn test_logical_qubit_creation() {
let code = QECCode::SurfaceCode { distance: 3 };
let logical_qubit = LogicalQubit::new(0, code);
assert_eq!(logical_qubit.id, 0);
assert_eq!(logical_qubit.physical_qubits.len(), 9);
assert!(!logical_qubit.data_qubits().is_empty());
}
#[test]
fn test_ft_compiler_creation() {
let code = QECCode::SteaneCode;
let compiler = FaultTolerantCompiler::new(code);
assert!(matches!(compiler.default_code, QECCode::SteaneCode));
assert!(compiler.error_threshold > 0.0);
}
#[test]
fn test_magic_state_properties() {
let t_state = MagicState::TState;
assert!(t_state.fidelity_threshold() > 0.9);
assert!(t_state.distillation_overhead() > 1.0);
let custom_state = MagicState::Custom {
name: "Test".to_string(),
fidelity: 0.98,
};
assert_eq!(custom_state.fidelity_threshold(), 0.98);
}
#[test]
fn test_syndrome_measurement() {
let measurement = SyndromeMeasurement {
measurement_type: SyndromeType::XStabilizer,
qubits: vec![0, 1, 2],
ancilla: 3,
expected_value: 0,
};
assert_eq!(measurement.qubits.len(), 3);
assert_eq!(measurement.measurement_type, SyndromeType::XStabilizer);
}
#[test]
fn test_ft_circuit_properties() {
let code = QECCode::SteaneCode;
let logical_qubits = vec![LogicalQubit::new(0, code.clone())];
let circuit = FaultTolerantCircuit {
logical_qubits,
ft_gates: vec![],
syndrome_circuits: vec![],
magic_state_requirements: 5,
physical_qubit_count: 20,
error_threshold: 1e-3,
code,
};
assert_eq!(circuit.magic_state_requirements, 5);
assert_eq!(circuit.physical_qubit_count, 20);
let overhead = circuit.resource_overhead(10);
assert!(overhead.space_overhead > 1.0);
}
#[test]
fn test_compilation_options() {
let options = CompilationOptions::default();
assert!(options.optimize_time);
assert!(options.recycle_magic_states);
assert_eq!(options.syndrome_frequency, 1);
}
}