// Apply unitary matrix to quantum state vector
struct Complex {
real: f32,
imag: f32,
}
struct UniformData {
num_qubits: u32,
target_qubit: u32,
matrix_size: u32,
pad: u32,
}
@group(0) @binding(0) var<storage, read_write> state: array<Complex>;
@group(0) @binding(1) var<storage, read> unitary: array<Complex>;
@group(0) @binding(2) var<uniform> params: UniformData;
// Complex multiplication
fn complex_mul(a: Complex, b: Complex) -> Complex {
return Complex(
a.real * b.real - a.imag * b.imag,
a.real * b.imag + a.imag * b.real
);
}
// Complex addition
fn complex_add(a: Complex, b: Complex) -> Complex {
return Complex(a.real + b.real, a.imag + b.imag);
}
@compute @workgroup_size(256)
fn apply_unitary(@builtin(global_invocation_id) global_id: vec3<u32>) {
let state_idx = global_id.x;
let state_size = 1u << params.num_qubits;
if (state_idx >= state_size) {
return;
}
// This is a simplified version for single-qubit gates
// Full implementation would handle multi-qubit unitaries
let qubit_mask = 1u << params.target_qubit;
let is_one = (state_idx & qubit_mask) != 0u;
if (!is_one) {
// This state index has target qubit = 0
let partner_idx = state_idx | qubit_mask;
if (partner_idx < state_size) {
// Apply 2x2 unitary
let s0 = state[state_idx];
let s1 = state[partner_idx];
// New amplitudes after applying unitary
let new_s0 = complex_add(
complex_mul(unitary[0], s0),
complex_mul(unitary[1], s1)
);
let new_s1 = complex_add(
complex_mul(unitary[2], s0),
complex_mul(unitary[3], s1)
);
state[state_idx] = new_s0;
state[partner_idx] = new_s1;
}
}
}