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path: root/src/core/custom_gate.c
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#include "core/custom_gate.h"

#include <assert.h>
#include <stdbool.h>
#include <stdlib.h>
#include <string.h>

#include "core/gates.h"

struct PsiCustomGate psi_new_custom_gate_from_matrix(const char* name, struct PsiMatrix matrix)
{
	assert(matrix.rows == matrix.cols);

	size_t dim = matrix.rows;
	assert(dim > 0 && (dim & (dim - 1)) == 0);

	size_t num_qubits = 0;
	while (((size_t)1 << num_qubits) < dim)
		num_qubits++;

	struct PsiCustomGate gate;
	gate.name = name;
	gate.num_qubits = num_qubits;
	gate.kind = PSI_CUSTOM_GATE_MATRIX;
	gate.definition.matrix = matrix;

	return gate;
}

struct PsiCustomGate psi_new_custom_gate_from_composite(const char* name, size_t num_qubits,
                                                        const struct PsiCompositeGateOp* ops,
                                                        size_t op_count)
{
	struct PsiCompositeGateOp* owned = malloc(op_count * sizeof(struct PsiCompositeGateOp));
	assert(owned != NULL || op_count == 0);

	if (op_count > 0)
		memcpy(owned, ops, op_count * sizeof(struct PsiCompositeGateOp));

	struct PsiCustomGate gate;
	gate.name = name;
	gate.num_qubits = num_qubits;
	gate.kind = PSI_CUSTOM_GATE_COMPOSITE;
	gate.definition.composite.ops = owned;
	gate.definition.composite.count = op_count;

	return gate;
}

void psi_free_custom_gate(struct PsiCustomGate* gate)
{
	if (gate->kind == PSI_CUSTOM_GATE_MATRIX)
	{
		psi_free_matrix(&gate->definition.matrix);
		return;
	}

	free(gate->definition.composite.ops);
	gate->definition.composite.ops = NULL;
	gate->definition.composite.count = 0;
}

static struct PsiQuantumGate op_gate(enum PsiCompositeOp op)
{
	switch (op)
	{
		case PSI_OP_H: return psi_hadamard_gate();
		case PSI_OP_X: return psi_pauli_x_gate();
		case PSI_OP_Y: return psi_pauli_y_gate();
		case PSI_OP_Z: return psi_pauli_z_gate();
		case PSI_OP_S: return psi_s_gate();
		case PSI_OP_T: return psi_t_gate();
		case PSI_OP_CNOT: return psi_cnot_gate();
		case PSI_OP_CZ: return psi_cz_gate();
		case PSI_OP_SWAP: return psi_swap_gate();
		case PSI_OP_CCNOT: return psi_toffoli_gate();
		case PSI_OP_CSWAP: return psi_fredkin_gate();
	}

	return psi_identity_gate();
}

static bool find_target(const size_t* targets, size_t count, size_t q, size_t* pos)
{
	for (size_t i = 0; i < count; i++)
		if (targets[i] == q)
		{
			*pos = i;
			return true;
		}

	return false;
}

static struct PsiMatrix build_full_operator(struct PsiMatrix gate_matrix, const size_t* targets,
                                            size_t num_gate_qubits, size_t total_qubits)
{
	size_t dim = (size_t)1 << total_qubits;
	size_t gate_dim = gate_matrix.rows;

	struct PsiMatrix result = psi_new_matrix(dim, dim);

	for (size_t i = 0; i < dim; i++)
		for (size_t j = 0; j < dim; j++)
		{
			size_t gate_i = 0;
			size_t gate_j = 0;
			bool match_non_targets = true;

			for (size_t q = 0; q < total_qubits; q++)
			{
				size_t bit_i = (i >> (total_qubits - 1 - q)) & 1;
				size_t bit_j = (j >> (total_qubits - 1 - q)) & 1;

				size_t pos;
				if (find_target(targets, num_gate_qubits, q, &pos))
				{
					gate_i |= bit_i << (num_gate_qubits - 1 - pos);
					gate_j |= bit_j << (num_gate_qubits - 1 - pos);
				}
				else if (bit_i != bit_j)
				{
					match_non_targets = false;
					break;
				}
			}

			if (match_non_targets)
				result.data[i * dim + j] = gate_matrix.data[gate_i * gate_dim + gate_j];
		}

	return result;
}

static struct PsiMatrix compute_composite_matrix(struct PsiCustomGate gate)
{
	size_t dim = (size_t)1 << gate.num_qubits;
	struct PsiMatrix result = psi_identity_matrix(dim);

	for (size_t i = 0; i < gate.definition.composite.count; i++)
	{
		struct PsiCompositeGateOp step = gate.definition.composite.ops[i];
		struct PsiQuantumGate g = op_gate(step.op);

		struct PsiMatrix full =
				build_full_operator(g.matrix, step.targets, step.target_count, gate.num_qubits);
		struct PsiMatrix next = psi_dot_matrix(full, result);

		psi_free_matrix(&full);
		psi_free_matrix(&result);
		psi_free_quantum_gate(&g);
		result = next;
	}

	return result;
}

struct PsiQuantumGate psi_to_quantum_gate(struct PsiCustomGate gate)
{
	if (gate.kind == PSI_CUSTOM_GATE_MATRIX)
		return psi_new_quantum_gate(gate.name, psi_clone_matrix(gate.definition.matrix),
		                            gate.num_qubits);

	return psi_new_quantum_gate(gate.name, compute_composite_matrix(gate), gate.num_qubits);
}