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//! Variational Quantum Eigensolver (VQE) circuit support
//!
//! This module provides specialized circuits and optimizers for the Variational Quantum Eigensolver
//! algorithm, which is used to find ground state energies of quantum systems.
use crate::builder::Circuit;
use quantrs2_core::{
error::{QuantRS2Error, QuantRS2Result},
gate::single::{RotationX, RotationY, RotationZ},
gate::GateOp,
qubit::QubitId,
};
use scirs2_core::Complex64;
use std::collections::HashMap;
/// Which axis a parameterized rotation gate acts on.
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum RotationAxis {
Y,
Z,
X,
}
/// Record of a parameterized gate: its position in the circuit's gate list,
/// the target qubit, the rotation axis, and the parameter index it uses.
#[derive(Debug, Clone)]
pub struct ParameterizedGateRecord {
/// Position of this gate in `circuit.gates()` (gate list index).
pub gate_index: usize,
/// Target qubit for the rotation.
pub qubit: QubitId,
/// Rotation axis.
pub axis: RotationAxis,
/// Index into `parameters` for the angle.
pub param_index: usize,
}
/// A parameterized quantum circuit for VQE applications
///
/// VQE circuits are characterized by:
/// - Parameterized gates whose angles can be optimized
/// - Specific ansatz structures (e.g., UCCSD, hardware-efficient)
/// - Observable measurement capabilities
#[derive(Debug, Clone)]
pub struct VQECircuit<const N: usize> {
/// The underlying quantum circuit
pub circuit: Circuit<N>,
/// Parameters that can be optimized
pub parameters: Vec<f64>,
/// Parameter names for identification
pub parameter_names: Vec<String>,
/// Mapping from parameter names to indices
parameter_map: HashMap<String, usize>,
/// Ordered list of parameterized gate records: used by `set_parameters` to
/// rebuild the circuit's rotation angles when parameters change.
param_gate_records: Vec<ParameterizedGateRecord>,
}
/// VQE ansatz types for different quantum chemistry problems
#[derive(Debug, Clone, PartialEq)]
pub enum VQEAnsatz {
/// Hardware-efficient ansatz with alternating rotation and entangling layers
HardwareEfficient { layers: usize },
/// Unitary Coupled-Cluster Singles and Doubles
UCCSD {
occupied_orbitals: usize,
virtual_orbitals: usize,
},
/// Real-space ansatz for condensed matter systems
RealSpace { geometry: Vec<(f64, f64, f64)> },
/// Custom ansatz defined by user
Custom,
}
/// Observable for VQE energy measurements
#[derive(Debug, Clone)]
pub struct VQEObservable {
/// Pauli string coefficients and operators
pub terms: Vec<(f64, Vec<(usize, PauliOperator)>)>,
}
/// Pauli operators for observable construction
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum PauliOperator {
I, // Identity
X, // Pauli-X
Y, // Pauli-Y
Z, // Pauli-Z
}
/// VQE optimization result
#[derive(Debug, Clone)]
pub struct VQEResult {
/// Optimized parameters
pub optimal_parameters: Vec<f64>,
/// Ground state energy
pub ground_state_energy: f64,
/// Number of optimization iterations
pub iterations: usize,
/// Convergence status
pub converged: bool,
/// Final gradient norm
pub gradient_norm: f64,
}
impl<const N: usize> VQECircuit<N> {
/// Create a new VQE circuit with specified ansatz
pub fn new(ansatz: VQEAnsatz) -> QuantRS2Result<Self> {
let mut circuit = Circuit::new();
let mut parameters = Vec::new();
let mut parameter_names = Vec::new();
let mut parameter_map = HashMap::new();
let mut param_gate_records: Vec<ParameterizedGateRecord> = Vec::new();
match ansatz {
VQEAnsatz::HardwareEfficient { layers } => {
Self::build_hardware_efficient_ansatz(
&mut circuit,
&mut parameters,
&mut parameter_names,
&mut parameter_map,
&mut param_gate_records,
layers,
)?;
}
VQEAnsatz::UCCSD {
occupied_orbitals,
virtual_orbitals,
} => {
Self::build_uccsd_ansatz(
&mut circuit,
&mut parameters,
&mut parameter_names,
&mut parameter_map,
&mut param_gate_records,
occupied_orbitals,
virtual_orbitals,
)?;
}
VQEAnsatz::RealSpace { geometry } => {
Self::build_real_space_ansatz(
&mut circuit,
&mut parameters,
&mut parameter_names,
&mut parameter_map,
&mut param_gate_records,
&geometry,
)?;
}
VQEAnsatz::Custom => {
// Custom ansatz - circuit will be built by user
}
}
Ok(Self {
circuit,
parameters,
parameter_names,
parameter_map,
param_gate_records,
})
}
/// Build a hardware-efficient ansatz
fn build_hardware_efficient_ansatz(
circuit: &mut Circuit<N>,
parameters: &mut Vec<f64>,
parameter_names: &mut Vec<String>,
parameter_map: &mut HashMap<String, usize>,
param_gate_records: &mut Vec<ParameterizedGateRecord>,
layers: usize,
) -> QuantRS2Result<()> {
for layer in 0..layers {
// Single-qubit rotation layer
for qubit in 0..N {
// RY rotation
let param_name = format!("ry_{layer}_q{qubit}");
let param_idx = parameters.len();
parameter_names.push(param_name.clone());
parameter_map.insert(param_name, param_idx);
parameters.push(0.0);
let gate_idx = circuit.gates().len();
circuit.ry(QubitId(qubit as u32), 0.0)?;
param_gate_records.push(ParameterizedGateRecord {
gate_index: gate_idx,
qubit: QubitId(qubit as u32),
axis: RotationAxis::Y,
param_index: param_idx,
});
// RZ rotation
let param_name = format!("rz_{layer}_q{qubit}");
let param_idx = parameters.len();
parameter_names.push(param_name.clone());
parameter_map.insert(param_name, param_idx);
parameters.push(0.0);
let gate_idx = circuit.gates().len();
circuit.rz(QubitId(qubit as u32), 0.0)?;
param_gate_records.push(ParameterizedGateRecord {
gate_index: gate_idx,
qubit: QubitId(qubit as u32),
axis: RotationAxis::Z,
param_index: param_idx,
});
}
// Entangling layer (linear connectivity)
for qubit in 0..(N - 1) {
circuit.cnot(QubitId(qubit as u32), QubitId((qubit + 1) as u32))?;
}
}
Ok(())
}
/// Build a UCCSD ansatz (simplified version)
fn build_uccsd_ansatz(
circuit: &mut Circuit<N>,
parameters: &mut Vec<f64>,
parameter_names: &mut Vec<String>,
parameter_map: &mut HashMap<String, usize>,
param_gate_records: &mut Vec<ParameterizedGateRecord>,
occupied_orbitals: usize,
virtual_orbitals: usize,
) -> QuantRS2Result<()> {
if occupied_orbitals + virtual_orbitals > N {
return Err(QuantRS2Error::InvalidInput(format!(
"Total orbitals ({}) exceeds number of qubits ({})",
occupied_orbitals + virtual_orbitals,
N
)));
}
// Initialize with Hartree-Fock state
for i in 0..occupied_orbitals {
circuit.x(QubitId(i as u32))?;
}
// Single excitations
for i in 0..occupied_orbitals {
for a in occupied_orbitals..(occupied_orbitals + virtual_orbitals) {
let param_name = format!("t1_{i}_{a}");
let param_idx = parameters.len();
parameter_names.push(param_name.clone());
parameter_map.insert(param_name, param_idx);
parameters.push(0.0);
circuit.cnot(QubitId(i as u32), QubitId(a as u32))?;
let gate_idx = circuit.gates().len();
circuit.ry(QubitId(a as u32), 0.0)?;
param_gate_records.push(ParameterizedGateRecord {
gate_index: gate_idx,
qubit: QubitId(a as u32),
axis: RotationAxis::Y,
param_index: param_idx,
});
circuit.cnot(QubitId(i as u32), QubitId(a as u32))?;
}
}
// Double excitations (simplified)
for i in 0..occupied_orbitals {
for j in (i + 1)..occupied_orbitals {
for a in occupied_orbitals..(occupied_orbitals + virtual_orbitals) {
for b in (a + 1)..(occupied_orbitals + virtual_orbitals) {
if a < N && b < N {
let param_name = format!("t2_{i}_{j}_{a}_{b}");
let param_idx = parameters.len();
parameter_names.push(param_name.clone());
parameter_map.insert(param_name, param_idx);
parameters.push(0.0);
circuit.cnot(QubitId(i as u32), QubitId(a as u32))?;
circuit.cnot(QubitId(j as u32), QubitId(b as u32))?;
let gate_idx = circuit.gates().len();
circuit.ry(QubitId(a as u32), 0.0)?;
param_gate_records.push(ParameterizedGateRecord {
gate_index: gate_idx,
qubit: QubitId(a as u32),
axis: RotationAxis::Y,
param_index: param_idx,
});
circuit.cnot(QubitId(j as u32), QubitId(b as u32))?;
circuit.cnot(QubitId(i as u32), QubitId(a as u32))?;
}
}
}
}
}
Ok(())
}
/// Build a real-space ansatz
fn build_real_space_ansatz(
circuit: &mut Circuit<N>,
parameters: &mut Vec<f64>,
parameter_names: &mut Vec<String>,
parameter_map: &mut HashMap<String, usize>,
param_gate_records: &mut Vec<ParameterizedGateRecord>,
geometry: &[(f64, f64, f64)],
) -> QuantRS2Result<()> {
if geometry.len() > N {
return Err(QuantRS2Error::InvalidInput(format!(
"Geometry has {} sites but circuit only has {} qubits",
geometry.len(),
N
)));
}
// Build ansatz based on geometric connectivity
for (i, &(x1, y1, z1)) in geometry.iter().enumerate() {
for (j, &(x2, y2, z2)) in geometry.iter().enumerate().skip(i + 1) {
let distance = (z2 - z1)
.mul_add(z2 - z1, (y2 - y1).mul_add(y2 - y1, (x2 - x1).powi(2)))
.sqrt();
// Only include interactions within a cutoff distance
if distance < 3.0 {
let param_name = format!("j_{i}_{j}");
let param_idx = parameters.len();
parameter_names.push(param_name.clone());
parameter_map.insert(param_name, param_idx);
parameters.push(0.0);
circuit.cnot(QubitId(i as u32), QubitId(j as u32))?;
let gate_idx = circuit.gates().len();
circuit.rz(QubitId(j as u32), 0.0)?;
param_gate_records.push(ParameterizedGateRecord {
gate_index: gate_idx,
qubit: QubitId(j as u32),
axis: RotationAxis::Z,
param_index: param_idx,
});
circuit.cnot(QubitId(i as u32), QubitId(j as u32))?;
}
}
}
Ok(())
}
/// Update circuit parameters and rebuild all parameterized rotation gates.
///
/// Uses `param_gate_records` to locate each parameterized gate in the gate
/// list. The entire circuit is reconstructed from `gates_as_boxes()`, with
/// each parameterized gate replaced by a new rotation gate carrying the
/// updated angle. Non-parameterized gates are kept verbatim.
pub fn set_parameters(&mut self, new_parameters: &[f64]) -> QuantRS2Result<()> {
if new_parameters.len() != self.parameters.len() {
return Err(QuantRS2Error::InvalidInput(format!(
"Expected {} parameters, got {}",
self.parameters.len(),
new_parameters.len()
)));
}
self.parameters = new_parameters.to_vec();
// Build a map from gate_index → ParameterizedGateRecord for fast lookup.
let record_map: HashMap<usize, &ParameterizedGateRecord> = self
.param_gate_records
.iter()
.map(|r| (r.gate_index, r))
.collect();
// Collect all existing gates as boxed trait objects.
let old_gates = self.circuit.gates_as_boxes();
// Rebuild a new gate list, substituting updated rotation angles where recorded.
let new_gates: Vec<Box<dyn GateOp>> = old_gates
.into_iter()
.enumerate()
.map(|(idx, gate)| -> Box<dyn GateOp> {
if let Some(record) = record_map.get(&idx) {
let angle = self.parameters[record.param_index];
match record.axis {
RotationAxis::Y => Box::new(RotationY {
target: record.qubit,
theta: angle,
}),
RotationAxis::Z => Box::new(RotationZ {
target: record.qubit,
theta: angle,
}),
RotationAxis::X => Box::new(RotationX {
target: record.qubit,
theta: angle,
}),
}
} else {
gate
}
})
.collect();
// Replace the circuit with the rebuilt version.
self.circuit = Circuit::<N>::from_gates(new_gates)?;
Ok(())
}
/// Get a parameter by name
#[must_use]
pub fn get_parameter(&self, name: &str) -> Option<f64> {
self.parameter_map
.get(name)
.map(|&index| self.parameters[index])
}
/// Set a parameter by name
pub fn set_parameter(&mut self, name: &str, value: f64) -> QuantRS2Result<()> {
let index = self
.parameter_map
.get(name)
.ok_or_else(|| QuantRS2Error::InvalidInput(format!("Parameter '{name}' not found")))?;
self.parameters[*index] = value;
Ok(())
}
/// Add a custom parameterized RY gate.
///
/// Records the gate position so that `set_parameters` can later update its angle.
pub fn add_parameterized_ry(
&mut self,
qubit: QubitId,
parameter_name: &str,
) -> QuantRS2Result<()> {
if self.parameter_map.contains_key(parameter_name) {
return Err(QuantRS2Error::InvalidInput(format!(
"Parameter '{parameter_name}' already exists"
)));
}
let param_idx = self.parameters.len();
self.parameter_names.push(parameter_name.to_string());
self.parameter_map
.insert(parameter_name.to_string(), param_idx);
self.parameters.push(0.0);
let gate_idx = self.circuit.gates().len();
self.circuit.ry(qubit, 0.0)?;
self.param_gate_records.push(ParameterizedGateRecord {
gate_index: gate_idx,
qubit,
axis: RotationAxis::Y,
param_index: param_idx,
});
Ok(())
}
/// Add a custom parameterized RZ gate.
///
/// Records the gate position so that `set_parameters` can later update its angle.
pub fn add_parameterized_rz(
&mut self,
qubit: QubitId,
parameter_name: &str,
) -> QuantRS2Result<()> {
if self.parameter_map.contains_key(parameter_name) {
return Err(QuantRS2Error::InvalidInput(format!(
"Parameter '{parameter_name}' already exists"
)));
}
let param_idx = self.parameters.len();
self.parameter_names.push(parameter_name.to_string());
self.parameter_map
.insert(parameter_name.to_string(), param_idx);
self.parameters.push(0.0);
let gate_idx = self.circuit.gates().len();
self.circuit.rz(qubit, 0.0)?;
self.param_gate_records.push(ParameterizedGateRecord {
gate_index: gate_idx,
qubit,
axis: RotationAxis::Z,
param_index: param_idx,
});
Ok(())
}
/// Get the number of parameters
#[must_use]
pub fn num_parameters(&self) -> usize {
self.parameters.len()
}
}
impl VQEObservable {
/// Create a new empty observable
#[must_use]
pub const fn new() -> Self {
Self { terms: Vec::new() }
}
/// Add a Pauli string term to the observable
pub fn add_pauli_term(&mut self, coefficient: f64, pauli_string: Vec<(usize, PauliOperator)>) {
self.terms.push((coefficient, pauli_string));
}
/// Create a Heisenberg model Hamiltonian
#[must_use]
pub fn heisenberg_model(num_qubits: usize, j_coupling: f64) -> Self {
let mut observable = Self::new();
for i in 0..(num_qubits - 1) {
// XX term
observable.add_pauli_term(
j_coupling,
vec![(i, PauliOperator::X), (i + 1, PauliOperator::X)],
);
// YY term
observable.add_pauli_term(
j_coupling,
vec![(i, PauliOperator::Y), (i + 1, PauliOperator::Y)],
);
// ZZ term
observable.add_pauli_term(
j_coupling,
vec![(i, PauliOperator::Z), (i + 1, PauliOperator::Z)],
);
}
observable
}
/// Create a transverse field Ising model Hamiltonian
#[must_use]
pub fn tfim(num_qubits: usize, j_coupling: f64, h_field: f64) -> Self {
let mut observable = Self::new();
// ZZ interactions
for i in 0..(num_qubits - 1) {
observable.add_pauli_term(
-j_coupling,
vec![(i, PauliOperator::Z), (i + 1, PauliOperator::Z)],
);
}
// X field terms
for i in 0..num_qubits {
observable.add_pauli_term(-h_field, vec![(i, PauliOperator::X)]);
}
observable
}
/// Create a molecular Hamiltonian (simplified version)
#[must_use]
pub fn molecular_hamiltonian(
one_body: &[(usize, usize, f64)],
two_body: &[(usize, usize, usize, usize, f64)],
) -> Self {
let mut observable = Self::new();
// One-body terms (simplified representation)
for &(i, j, coeff) in one_body {
if i == j {
// Diagonal term
observable.add_pauli_term(coeff, vec![(i, PauliOperator::Z)]);
} else {
// Off-diagonal terms (simplified)
observable
.add_pauli_term(coeff, vec![(i, PauliOperator::X), (j, PauliOperator::X)]);
observable
.add_pauli_term(coeff, vec![(i, PauliOperator::Y), (j, PauliOperator::Y)]);
}
}
// Two-body terms (very simplified representation)
for &(i, j, k, l, coeff) in two_body {
// This is a simplified representation - real molecular Hamiltonians
// require more sophisticated fermion-to-qubit mappings
observable.add_pauli_term(
coeff,
vec![
(i, PauliOperator::Z),
(j, PauliOperator::Z),
(k, PauliOperator::Z),
(l, PauliOperator::Z),
],
);
}
observable
}
}
impl Default for VQEObservable {
fn default() -> Self {
Self::new()
}
}
/// VQE optimizer for finding ground state energies
pub struct VQEOptimizer {
/// Maximum number of iterations
pub max_iterations: usize,
/// Convergence tolerance
pub tolerance: f64,
/// Learning rate for gradient descent
pub learning_rate: f64,
/// Optimizer type
pub optimizer_type: VQEOptimizerType,
}
/// Types of optimizers available for VQE
#[derive(Debug, Clone, PartialEq)]
pub enum VQEOptimizerType {
/// Gradient descent
GradientDescent,
/// Adam optimizer
Adam { beta1: f64, beta2: f64 },
/// BFGS quasi-Newton method
BFGS,
/// Nelder-Mead simplex
NelderMead,
/// SPSA (Simultaneous Perturbation Stochastic Approximation)
SPSA { alpha: f64, gamma: f64 },
}
impl VQEOptimizer {
/// Create a new VQE optimizer
#[must_use]
pub const fn new(optimizer_type: VQEOptimizerType) -> Self {
Self {
max_iterations: 1000,
tolerance: 1e-6,
learning_rate: 0.01,
optimizer_type,
}
}
/// Optimize VQE circuit parameters
pub fn optimize<const N: usize>(
&self,
circuit: &mut VQECircuit<N>,
observable: &VQEObservable,
) -> QuantRS2Result<VQEResult> {
// This is a simplified implementation - a full VQE optimizer would:
// 1. Evaluate the expectation value of the observable
// 2. Compute gradients (analytically or numerically)
// 3. Update parameters using the chosen optimization algorithm
// 4. Check for convergence
let mut current_energy = self.evaluate_energy(circuit, observable)?;
let mut best_parameters = circuit.parameters.clone();
let mut best_energy = current_energy;
for iteration in 0..self.max_iterations {
// Simplified gradient descent step
let gradients = self.compute_gradients(circuit, observable)?;
// Update parameters
for (i, gradient) in gradients.iter().enumerate() {
circuit.parameters[i] -= self.learning_rate * gradient;
}
// Evaluate new energy
current_energy = self.evaluate_energy(circuit, observable)?;
if current_energy < best_energy {
best_energy = current_energy;
best_parameters.clone_from(&circuit.parameters);
}
// Check convergence
let gradient_norm = gradients.iter().map(|g| g * g).sum::<f64>().sqrt();
if gradient_norm < self.tolerance {
circuit.parameters = best_parameters;
return Ok(VQEResult {
optimal_parameters: circuit.parameters.clone(),
ground_state_energy: best_energy,
iterations: iteration + 1,
converged: true,
gradient_norm,
});
}
}
circuit.parameters = best_parameters;
Ok(VQEResult {
optimal_parameters: circuit.parameters.clone(),
ground_state_energy: best_energy,
iterations: self.max_iterations,
converged: false,
gradient_norm: 0.0, // Would compute actual gradient norm
})
}
/// Evaluate the energy expectation value (simplified)
const fn evaluate_energy<const N: usize>(
&self,
_circuit: &VQECircuit<N>,
_observable: &VQEObservable,
) -> QuantRS2Result<f64> {
// This is a placeholder - real implementation would:
// 1. Execute the circuit on a quantum simulator/device
// 2. Measure expectation values of Pauli strings
// 3. Combine measurements according to observable coefficients
// For now, return a dummy energy value
Ok(-1.0)
}
/// Compute parameter gradients (simplified)
fn compute_gradients<const N: usize>(
&self,
circuit: &VQECircuit<N>,
_observable: &VQEObservable,
) -> QuantRS2Result<Vec<f64>> {
// This is a placeholder - real implementation would use:
// 1. Parameter shift rule for analytic gradients
// 2. Finite differences for numerical gradients
// 3. Or other gradient estimation methods
// For now, return dummy gradients
Ok(vec![0.001; circuit.parameters.len()])
}
}
impl Default for VQEOptimizer {
fn default() -> Self {
Self::new(VQEOptimizerType::GradientDescent)
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_hardware_efficient_ansatz() {
let circuit = VQECircuit::<4>::new(VQEAnsatz::HardwareEfficient { layers: 2 })
.expect("create VQE circuit");
assert!(!circuit.parameters.is_empty());
assert_eq!(circuit.parameter_names.len(), circuit.parameters.len());
}
#[test]
fn test_observable_creation() {
let obs = VQEObservable::heisenberg_model(4, 1.0);
assert!(!obs.terms.is_empty());
}
#[test]
fn test_parameter_management() {
let mut circuit =
VQECircuit::<2>::new(VQEAnsatz::Custom).expect("create custom VQE circuit");
circuit
.add_parameterized_ry(QubitId(0), "theta1")
.expect("add parameterized RY gate");
circuit
.set_parameter("theta1", 0.5)
.expect("set parameter theta1");
assert_eq!(circuit.get_parameter("theta1"), Some(0.5));
}
#[test]
fn test_set_parameters_updates_circuit_gates() {
use std::f64::consts::PI;
// Build a custom VQE circuit with one RY gate
let mut vqe = VQECircuit::<2>::new(VQEAnsatz::Custom).expect("custom VQE");
vqe.add_parameterized_ry(QubitId(0), "theta")
.expect("add RY");
vqe.add_parameterized_rz(QubitId(1), "phi").expect("add RZ");
assert_eq!(vqe.num_parameters(), 2);
// Initially parameters are zero
assert_eq!(vqe.get_parameter("theta"), Some(0.0));
assert_eq!(vqe.get_parameter("phi"), Some(0.0));
// Update both parameters
vqe.set_parameters(&[PI / 4.0, PI / 2.0])
.expect("set params");
// Parameters stored correctly
assert!((vqe.get_parameter("theta").unwrap() - PI / 4.0).abs() < 1e-12);
assert!((vqe.get_parameter("phi").unwrap() - PI / 2.0).abs() < 1e-12);
// Circuit was rebuilt: should still have the same number of gates
assert_eq!(vqe.circuit.gates().len(), 2);
// Verify the gates have the updated angles by inspecting their names
// (RY and RZ gate names)
let gate_names: Vec<&str> = vqe.circuit.gates().iter().map(|g| g.name()).collect();
assert_eq!(gate_names, vec!["RY", "RZ"]);
}
#[test]
fn test_set_parameters_hardware_efficient() {
use std::f64::consts::PI;
let mut vqe = VQECircuit::<2>::new(VQEAnsatz::HardwareEfficient { layers: 1 })
.expect("hardware-efficient VQE");
let n_params = vqe.num_parameters();
assert!(n_params > 0);
// Create a new parameter vector with all PI/3
let new_params: Vec<f64> = vec![PI / 3.0; n_params];
vqe.set_parameters(&new_params).expect("set all params");
// Circuit should be rebuilt with same gate structure
for &p in &vqe.parameters {
assert!((p - PI / 3.0).abs() < 1e-12);
}
}
#[test]
fn test_set_parameters_wrong_length_fails() {
let mut vqe = VQECircuit::<2>::new(VQEAnsatz::Custom).expect("custom VQE");
vqe.add_parameterized_ry(QubitId(0), "theta")
.expect("add RY");
// Providing wrong number of parameters should return an error
let result = vqe.set_parameters(&[0.1, 0.2]);
assert!(result.is_err());
}
}