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from qibo import Circuit, gates | ||
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def qeb_circuit(n_qubits, excitation, theta=0.0) -> Circuit: | ||
r""" | ||
Qubit-excitation-based (QEB) circuit corresponding to the unitary coupled-cluster ansatz for a single excitation | ||
Supports only Jordan-Wigner encoded circuits | ||
Ref: arXiv:2210.05771 | ||
Args: | ||
n_qubits: Number of qubits in the quantum circuit | ||
excitation: Iterable of orbitals involved in the excitation; must have an even number of elements | ||
E.g. ``[0, 1, 2, 3]`` represents the excitation of electrons in orbitals ``(0, 1)`` to ``(2, 3)`` | ||
theta: UCC parameter. Defaults to 0.0 | ||
trotter_steps: Number of Trotter steps; i.e. number of times this ansatz is applied with ``theta`` = ``theta / trotter_steps``. Default: 1 | ||
Returns: | ||
Qibo ``Circuit``: Circuit corresponding to a single UCC excitation | ||
""" | ||
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n_orbitals = len(excitation) | ||
assert n_orbitals % 2 == 0, f"{excitation} must have an even number of items" | ||
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n_tuples = len(excitation) // 2 | ||
i_array = excitation[:n_tuples] | ||
a_array = excitation[n_tuples:] | ||
fwd_gates = [gates.CNOT(i_array[-1], _i) for _i in i_array[-2::-1]] | ||
fwd_gates += [gates.CNOT(a_array[-1], _a) for _a in a_array[-2::-1]] | ||
fwd_gates.append(gates.CNOT(a_array[-1], i_array[-1])) | ||
fwd_gates += [gates.X(_ia) for _ia in excitation if _ia not in (i_array[-1], a_array[-1])] | ||
circuit = Circuit(n_qubits) | ||
circuit.add(gate for gate in fwd_gates) | ||
# MCRY | ||
# multi-controlled RY gate, | ||
# negative controls i, a | ||
# positive control on i_n | ||
mcry_controls = excitation[:-1] | ||
ry_angle = 2.0 * theta | ||
circuit.add(gates.RY(a_array[-1], ry_angle).controlled_by(*mcry_controls)) | ||
circuit.add(gate for gate in fwd_gates[::-1]) | ||
return circuit |
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