use crate::topology::HardwareTopology;
use crate::{DeviceError, DeviceResult};
use petgraph::algo::astar;
use petgraph::graph::{NodeIndex, UnGraph};
use quantrs2_circuit::prelude::*;
use std::collections::{HashMap, HashSet};
#[derive(Debug, Clone, Copy)]
pub enum RoutingStrategy {
NearestNeighbor,
SteinerTree,
Lookahead { depth: usize },
StochasticAnnealing,
}
#[derive(Debug, Clone)]
pub struct RoutingResult {
pub initial_mapping: HashMap<usize, usize>,
pub final_mapping: HashMap<usize, usize>,
pub swap_gates: Vec<SwapGate>,
pub cost: usize,
pub depth_overhead: usize,
}
#[derive(Debug, Clone)]
pub struct SwapGate {
pub qubit1: usize,
pub qubit2: usize,
pub position: usize,
}
pub struct QubitRouter {
topology: HardwareTopology,
strategy: RoutingStrategy,
seed: u64,
}
impl QubitRouter {
pub const fn new(topology: HardwareTopology, strategy: RoutingStrategy) -> Self {
Self {
topology,
strategy,
seed: 42,
}
}
pub fn route_circuit<const N: usize>(
&self,
circuit: &Circuit<N>,
) -> DeviceResult<RoutingResult> {
let interactions = self.extract_interactions(circuit)?;
let initial_mapping = self.find_initial_mapping(&interactions, N)?;
match self.strategy {
RoutingStrategy::NearestNeighbor => {
self.route_nearest_neighbor(circuit, initial_mapping, interactions)
}
RoutingStrategy::SteinerTree => {
self.route_steiner_tree(circuit, initial_mapping, interactions)
}
RoutingStrategy::Lookahead { depth } => {
self.route_lookahead(circuit, initial_mapping, interactions, depth)
}
RoutingStrategy::StochasticAnnealing => {
self.route_simulated_annealing(circuit, initial_mapping, interactions)
}
}
}
fn extract_interactions<const N: usize>(
&self,
circuit: &Circuit<N>,
) -> DeviceResult<Vec<(usize, usize)>> {
let mut interactions = Vec::new();
for gate in circuit.gates() {
if gate.qubits().len() == 2 {
let q0 = gate.qubits()[0].id() as usize;
let q1 = gate.qubits()[1].id() as usize;
interactions.push((q0, q1));
}
}
Ok(interactions)
}
fn find_initial_mapping(
&self,
interactions: &[(usize, usize)],
num_logical_qubits: usize,
) -> DeviceResult<HashMap<usize, usize>> {
if num_logical_qubits > self.topology.num_qubits {
return Err(DeviceError::InsufficientQubits {
required: num_logical_qubits,
available: self.topology.num_qubits,
});
}
let mut interaction_graph = UnGraph::<(), ()>::new_undirected();
let mut nodes = HashMap::new();
for i in 0..num_logical_qubits {
let node = interaction_graph.add_node(());
nodes.insert(i, node);
}
for &(q0, q1) in interactions {
if let (Some(&n0), Some(&n1)) = (nodes.get(&q0), nodes.get(&q1)) {
interaction_graph.add_edge(n0, n1, ());
}
}
let mut mapping = HashMap::new();
let _available_physical: Vec<usize> = (0..self.topology.num_qubits).collect();
let mut logical_degrees: Vec<(usize, usize)> = nodes
.iter()
.map(|(&log_q, &node)| {
let degree = interaction_graph.edges(node).count();
(log_q, degree)
})
.collect();
logical_degrees.sort_by_key(|&(_, deg)| std::cmp::Reverse(deg));
let mut physical_degrees: Vec<(usize, usize)> = (0..self.topology.num_qubits)
.map(|p| {
let node = NodeIndex::new(p);
let degree = self.topology.connectivity.edges(node).count();
(p, degree)
})
.collect();
physical_degrees.sort_by_key(|&(_, deg)| std::cmp::Reverse(deg));
for (i, &(log_q, _)) in logical_degrees.iter().enumerate() {
if i < physical_degrees.len() {
mapping.insert(log_q, physical_degrees[i].0);
}
}
Ok(mapping)
}
fn route_nearest_neighbor<const N: usize>(
&self,
_circuit: &Circuit<N>,
initial_mapping: HashMap<usize, usize>,
interactions: Vec<(usize, usize)>,
) -> DeviceResult<RoutingResult> {
let mut current_mapping = initial_mapping.clone();
let mut swap_gates = Vec::new();
let mut position = 0;
for (log_q0, log_q1) in interactions {
let phys_q0 = current_mapping[&log_q0];
let phys_q1 = current_mapping[&log_q1];
if !self.are_connected(phys_q0, phys_q1)? {
let path = self.find_shortest_path(phys_q0, phys_q1)?;
for i in 0..path.len() - 2 {
swap_gates.push(SwapGate {
qubit1: path[i],
qubit2: path[i + 1],
position,
});
self.apply_swap(&mut current_mapping, path[i], path[i + 1]);
}
}
position += 1;
}
Ok(RoutingResult {
initial_mapping,
final_mapping: current_mapping,
cost: swap_gates.len(),
depth_overhead: swap_gates.len() * 3, swap_gates,
})
}
fn route_steiner_tree<const N: usize>(
&self,
_circuit: &Circuit<N>,
initial_mapping: HashMap<usize, usize>,
interactions: Vec<(usize, usize)>,
) -> DeviceResult<RoutingResult> {
self.route_nearest_neighbor(_circuit, initial_mapping, interactions)
}
fn route_lookahead<const N: usize>(
&self,
circuit: &Circuit<N>,
initial_mapping: HashMap<usize, usize>,
interactions: Vec<(usize, usize)>,
lookahead_depth: usize,
) -> DeviceResult<RoutingResult> {
let mut current_mapping = initial_mapping.clone();
let mut swap_gates = Vec::new();
let mut position = 0;
for i in 0..interactions.len() {
let (log_q0, log_q1) = interactions[i];
let phys_q0 = current_mapping[&log_q0];
let phys_q1 = current_mapping[&log_q1];
if !self.are_connected(phys_q0, phys_q1)? {
let future_gates =
&interactions[i..std::cmp::min(i + lookahead_depth, interactions.len())];
let best_swap = self.find_best_swap_lookahead(
¤t_mapping,
phys_q0,
phys_q1,
future_gates,
)?;
if let Some((swap_q0, swap_q1)) = best_swap {
swap_gates.push(SwapGate {
qubit1: swap_q0,
qubit2: swap_q1,
position,
});
self.apply_swap(&mut current_mapping, swap_q0, swap_q1);
}
}
position += 1;
}
Ok(RoutingResult {
initial_mapping,
final_mapping: current_mapping,
cost: swap_gates.len(),
depth_overhead: swap_gates.len() * 3,
swap_gates,
})
}
fn route_simulated_annealing<const N: usize>(
&self,
circuit: &Circuit<N>,
initial_mapping: HashMap<usize, usize>,
interactions: Vec<(usize, usize)>,
) -> DeviceResult<RoutingResult> {
use fastrand::Rng;
let mut rng = Rng::with_seed(self.seed);
let mut best_mapping = initial_mapping;
let mut best_cost = self.evaluate_mapping(&best_mapping, &interactions)?;
let mut current_mapping = best_mapping.clone();
let mut current_cost = best_cost;
let mut temperature = 100.0;
let cooling_rate = 0.95;
let min_temperature = 0.01;
while temperature > min_temperature {
let mut neighbor_mapping = current_mapping.clone();
let logical_qubits: Vec<usize> = neighbor_mapping.keys().copied().collect();
if logical_qubits.len() >= 2 {
let idx1 = rng.usize(0..logical_qubits.len());
let idx2 = rng.usize(0..logical_qubits.len());
if idx1 != idx2 {
let log_q1 = logical_qubits[idx1];
let log_q2 = logical_qubits[idx2];
let phys_q1 = neighbor_mapping[&log_q1];
let phys_q2 = neighbor_mapping[&log_q2];
neighbor_mapping.insert(log_q1, phys_q2);
neighbor_mapping.insert(log_q2, phys_q1);
}
}
let neighbor_cost = self.evaluate_mapping(&neighbor_mapping, &interactions)?;
let delta = neighbor_cost as f64 - current_cost as f64;
if delta < 0.0 || rng.f64() < (-delta / temperature).exp() {
current_mapping = neighbor_mapping;
current_cost = neighbor_cost;
if current_cost < best_cost {
best_mapping.clone_from(¤t_mapping);
best_cost = current_cost;
}
}
temperature *= cooling_rate;
}
self.route_nearest_neighbor(circuit, best_mapping, interactions)
}
fn are_connected(&self, phys_q0: usize, phys_q1: usize) -> DeviceResult<bool> {
let n0 = NodeIndex::new(phys_q0);
let n1 = NodeIndex::new(phys_q1);
Ok(self.topology.connectivity.find_edge(n0, n1).is_some())
}
fn find_shortest_path(&self, start: usize, end: usize) -> DeviceResult<Vec<usize>> {
let start_node = NodeIndex::new(start);
let end_node = NodeIndex::new(end);
let result = astar(
&self.topology.connectivity,
start_node,
|n| n == end_node,
|e| *e.weight(),
|_| 0.0,
);
match result {
Some((_, path)) => Ok(path.into_iter().map(|n| n.index()).collect()),
None => Err(DeviceError::RoutingError(format!(
"No path found between qubits {start} and {end}"
))),
}
}
fn apply_swap(&self, mapping: &mut HashMap<usize, usize>, phys_q0: usize, phys_q1: usize) {
let mut log_q0 = None;
let mut log_q1 = None;
for (&log_q, &phys_q) in mapping.iter() {
if phys_q == phys_q0 {
log_q0 = Some(log_q);
} else if phys_q == phys_q1 {
log_q1 = Some(log_q);
}
}
if let (Some(l0), Some(l1)) = (log_q0, log_q1) {
mapping.insert(l0, phys_q1);
mapping.insert(l1, phys_q0);
}
}
fn find_best_swap_lookahead(
&self,
mapping: &HashMap<usize, usize>,
target_phys_q0: usize,
target_phys_q1: usize,
future_gates: &[(usize, usize)],
) -> DeviceResult<Option<(usize, usize)>> {
let mut best_swap = None;
let mut best_score = f64::MAX;
for edge in self.topology.connectivity.edge_indices() {
if let Some((n0, n1)) = self.topology.connectivity.edge_endpoints(edge) {
let phys_q0 = n0.index();
let phys_q1 = n1.index();
let mut test_mapping = mapping.clone();
self.apply_swap(&mut test_mapping, phys_q0, phys_q1);
let score = self.evaluate_swap_lookahead(
&test_mapping,
target_phys_q0,
target_phys_q1,
future_gates,
)?;
if score < best_score {
best_score = score;
best_swap = Some((phys_q0, phys_q1));
}
}
}
Ok(best_swap)
}
fn evaluate_swap_lookahead(
&self,
mapping: &HashMap<usize, usize>,
target_phys_q0: usize,
target_phys_q1: usize,
future_gates: &[(usize, usize)],
) -> DeviceResult<f64> {
let mut score = 0.0;
if self.are_connected(target_phys_q0, target_phys_q1)? {
score -= 10.0; }
for (i, &(log_q0, log_q1)) in future_gates.iter().enumerate() {
if let (Some(&phys_q0), Some(&phys_q1)) = (mapping.get(&log_q0), mapping.get(&log_q1)) {
if self.are_connected(phys_q0, phys_q1)? {
score -= 1.0 / (i + 1) as f64; } else {
let path = self.find_shortest_path(phys_q0, phys_q1)?;
score += path.len() as f64 / (i + 1) as f64;
}
}
}
Ok(score)
}
fn evaluate_mapping(
&self,
mapping: &HashMap<usize, usize>,
interactions: &[(usize, usize)],
) -> DeviceResult<usize> {
let mut total_cost = 0;
for &(log_q0, log_q1) in interactions {
if let (Some(&phys_q0), Some(&phys_q1)) = (mapping.get(&log_q0), mapping.get(&log_q1)) {
if !self.are_connected(phys_q0, phys_q1)? {
let path = self.find_shortest_path(phys_q0, phys_q1)?;
total_cost += path.len() - 1; }
}
}
Ok(total_cost)
}
}
pub struct LayoutSynthesis {
topology: HardwareTopology,
}
impl LayoutSynthesis {
pub const fn new(topology: HardwareTopology) -> Self {
Self { topology }
}
pub fn synthesize_layout(
&self,
interaction_graph: &UnGraph<(), f64>,
) -> DeviceResult<HashMap<usize, usize>> {
let mut mapping = HashMap::new();
let mut logical_degrees: Vec<(usize, usize)> = interaction_graph
.node_indices()
.map(|n| {
let degree = interaction_graph.edges(n).count();
(n.index(), degree)
})
.collect();
logical_degrees.sort_by_key(|&(_, deg)| std::cmp::Reverse(deg));
let mut physical_degrees: Vec<(usize, usize)> = (0..self.topology.num_qubits)
.map(|p| {
let node = NodeIndex::new(p);
let degree = self.topology.connectivity.edges(node).count();
(p, degree)
})
.collect();
physical_degrees.sort_by_key(|&(_, deg)| std::cmp::Reverse(deg));
for (i, &(log_q, _)) in logical_degrees.iter().enumerate() {
if i < physical_degrees.len() {
mapping.insert(log_q, physical_degrees[i].0);
}
}
Ok(mapping)
}
}
#[cfg(test)]
mod tests {
use super::*;
use quantrs2_core::prelude::QubitId;
#[test]
fn test_qubit_router_creation() {
let topology = HardwareTopology::linear_topology(5);
let router = QubitRouter::new(topology, RoutingStrategy::NearestNeighbor);
assert_eq!(router.topology.num_qubits, 5);
}
#[test]
fn test_routing_strategies() {
let topology = HardwareTopology::grid_topology(3, 3);
let strategies = vec![
RoutingStrategy::NearestNeighbor,
RoutingStrategy::SteinerTree,
RoutingStrategy::Lookahead { depth: 3 },
RoutingStrategy::StochasticAnnealing,
];
for strategy in strategies {
let router = QubitRouter::new(topology.clone(), strategy);
assert_eq!(router.topology.num_qubits, 9);
}
}
#[test]
fn test_swap_application() {
let topology = HardwareTopology::linear_topology(4);
let router = QubitRouter::new(topology, RoutingStrategy::NearestNeighbor);
let mut mapping = HashMap::from([(0, 0), (1, 1), (2, 2), (3, 3)]);
router.apply_swap(&mut mapping, 1, 2);
assert_eq!(mapping[&1], 2);
assert_eq!(mapping[&2], 1);
}
#[test]
fn test_linear_topology_routing() {
let topology = HardwareTopology::linear_topology(5);
let router = QubitRouter::new(topology, RoutingStrategy::NearestNeighbor);
let mut circuit = Circuit::<5>::new();
circuit.h(QubitId::new(0)).expect("Failed to add H gate");
circuit
.cnot(QubitId::new(0), QubitId::new(4))
.expect("Failed to add CNOT gate"); circuit
.cnot(QubitId::new(1), QubitId::new(3))
.expect("Failed to add CNOT gate");
let result = router
.route_circuit(&circuit)
.expect("Failed to route circuit");
assert_eq!(result.initial_mapping.len(), 5);
assert_eq!(result.final_mapping.len(), 5);
}
#[test]
fn test_grid_topology_routing() {
let topology = HardwareTopology::grid_topology(3, 3);
let router = QubitRouter::new(topology, RoutingStrategy::Lookahead { depth: 3 });
let mut circuit = Circuit::<9>::new();
circuit.h(QubitId::new(0)).expect("Failed to add H gate");
circuit
.cnot(QubitId::new(0), QubitId::new(8))
.expect("Failed to add CNOT gate"); circuit
.cnot(QubitId::new(4), QubitId::new(2))
.expect("Failed to add CNOT gate");
let result = router
.route_circuit(&circuit)
.expect("Failed to route circuit");
assert!(!result.swap_gates.is_empty());
}
#[test]
fn test_heavy_hex_routing() {
let topology = HardwareTopology::from_heavy_hex(27);
let router = QubitRouter::new(topology, RoutingStrategy::StochasticAnnealing);
let mut circuit = Circuit::<10>::new();
circuit.h(QubitId::new(0)).expect("Failed to add H gate");
circuit
.cnot(QubitId::new(0), QubitId::new(5))
.expect("Failed to add CNOT gate");
circuit
.cnot(QubitId::new(2), QubitId::new(7))
.expect("Failed to add CNOT gate");
circuit
.cnot(QubitId::new(3), QubitId::new(9))
.expect("Failed to add CNOT gate");
let result = router
.route_circuit(&circuit)
.expect("Failed to route circuit");
assert!(result.initial_mapping.len() <= 27);
}
#[test]
fn test_insufficient_qubits() {
let topology = HardwareTopology::linear_topology(3);
let router = QubitRouter::new(topology, RoutingStrategy::NearestNeighbor);
let circuit = Circuit::<5>::new();
let result = router.route_circuit(&circuit);
assert!(result.is_err());
}
#[test]
fn test_different_strategies_comparison() {
let topology = HardwareTopology::grid_topology(4, 4);
let mut circuit = Circuit::<16>::new();
for i in 0..8 {
circuit
.h(QubitId::new(i as u32))
.expect("Failed to add H gate in loop");
circuit
.cnot(QubitId::new(i as u32), QubitId::new((i + 8) as u32))
.expect("Failed to add CNOT gate in loop");
}
let strategies = vec![
RoutingStrategy::NearestNeighbor,
RoutingStrategy::Lookahead { depth: 3 },
RoutingStrategy::Lookahead { depth: 5 },
RoutingStrategy::StochasticAnnealing,
];
let mut results = Vec::new();
for strategy in strategies {
let router = QubitRouter::new(topology.clone(), strategy);
let result = router
.route_circuit(&circuit)
.expect("Failed to route with strategy");
results.push((strategy, result.cost));
}
}
#[test]
fn test_already_connected_qubits() {
let topology = HardwareTopology::linear_topology(3);
let router = QubitRouter::new(topology, RoutingStrategy::NearestNeighbor);
let mut circuit = Circuit::<3>::new();
circuit
.cnot(QubitId::new(0), QubitId::new(1))
.expect("Failed to add CNOT gate"); circuit
.cnot(QubitId::new(1), QubitId::new(2))
.expect("Failed to add CNOT gate");
let result = router
.route_circuit(&circuit)
.expect("Failed to route circuit");
assert_eq!(result.swap_gates.len(), 0);
assert_eq!(result.cost, 0);
}
#[test]
fn test_layout_synthesis() {
let topology = HardwareTopology::grid_topology(3, 3);
let synthesizer = LayoutSynthesis::new(topology);
let mut graph = UnGraph::<(), f64>::new_undirected();
let n0 = graph.add_node(());
let n1 = graph.add_node(());
let n2 = graph.add_node(());
let n3 = graph.add_node(());
graph.add_edge(n0, n1, 1.0);
graph.add_edge(n1, n2, 1.0);
graph.add_edge(n2, n3, 1.0);
graph.add_edge(n3, n0, 1.0);
let layout = synthesizer
.synthesize_layout(&graph)
.expect("Failed to synthesize layout");
assert_eq!(layout.len(), 4);
let physical_qubits: HashSet<usize> = layout.values().copied().collect();
assert_eq!(physical_qubits.len(), 4);
}
#[test]
fn test_path_finding() {
let topology = HardwareTopology::linear_topology(5);
let router = QubitRouter::new(topology, RoutingStrategy::NearestNeighbor);
let path = router
.find_shortest_path(0, 4)
.expect("Failed to find path 0->4");
assert_eq!(path, vec![0, 1, 2, 3, 4]);
let path = router
.find_shortest_path(2, 0)
.expect("Failed to find path 2->0");
assert_eq!(path, vec![2, 1, 0]);
}
#[test]
fn test_connectivity_check() {
let topology = HardwareTopology::grid_topology(3, 3);
let router = QubitRouter::new(topology, RoutingStrategy::NearestNeighbor);
assert!(router
.are_connected(0, 1)
.expect("Connectivity check failed")); assert!(router
.are_connected(0, 3)
.expect("Connectivity check failed"));
assert!(!router
.are_connected(0, 4)
.expect("Connectivity check failed"));
assert!(!router
.are_connected(0, 8)
.expect("Connectivity check failed"));
}
}