def test_multi_control_u1(self):
"""Test the matrix representation of the controlled and controlled-controlled U1 gate."""
import qiskit.circuit.library.standard_gates.u1 as u1
num_ctrl = 3
# U1 gate params
theta = 0.2
# cnu1 gate
u1gate = u1.U1Gate(theta)
cnu1 = u1gate.control(num_ctrl)
width = cnu1.num_qubits
qr = QuantumRegister(width)
qcnu1 = QuantumCircuit(qr)
qcnu1.append(cnu1, qr, [])
# U1 gate
qu1 = QuantumCircuit(1)
qu1.u1(theta, 0)
# CU1 gate
qcu1 = QuantumCircuit(2)
qcu1.cu1(theta, 0, 1)
# c-cu1 gate
width = 3
qr = QuantumRegister(width)
qc_cu1 = QuantumCircuit(qr)
cu1gate = u1.CU1Gate(theta)
c_cu1 = cu1gate.control(1)
qc_cu1.append(c_cu1, qr, [])
job = execute([qcnu1, qu1, qcu1, qc_cu1], BasicAer.get_backend('unitary_simulator'),
basis_gates=['u1', 'u2', 'u3', 'id', 'cx'])
result = job.result()
# Circuit unitaries
mat_cnu1 = result.get_unitary(0)
# trace out ancillae
mat_u1 = result.get_unitary(1)
mat_cu1 = result.get_unitary(2)
mat_c_cu1 = result.get_unitary(3)
# Target Controlled-U1 unitary
target_cnu1 = _compute_control_matrix(mat_u1, num_ctrl)
target_cu1 = np.kron(mat_u1, np.diag([0, 1])) + np.kron(np.eye(2), np.diag([1, 0]))
target_c_cu1 = np.kron(mat_cu1, np.diag([0, 1])) + np.kron(np.eye(4), np.diag([1, 0]))
tests = [('check unitary of u1.control against tensored unitary of u1',
target_cu1, mat_cu1),
('check unitary of cu1.control against tensored unitary of cu1',
target_c_cu1, mat_c_cu1),
('check unitary of cnu1 against tensored unitary of u1',
target_cnu1, mat_cnu1)]
for itest in tests:
info, target, decomp = itest[0], itest[1], itest[2]
with self.subTest(i=info):
self.log.info(info)
self.assertTrue(matrix_equal(target, decomp, ignore_phase=True))
class TestSingleControlledRotationGates(QiskitTestCase):
"""Test the controlled rotation gates controlled on one qubit."""
import qiskit.circuit.library.standard_gates.u1 as u1
import qiskit.circuit.library.standard_gates.rx as rx
import qiskit.circuit.library.standard_gates.ry as ry
import qiskit.circuit.library.standard_gates.rz as rz
num_ctrl = 2
num_target = 1
theta = pi / 2
gu1 = u1.U1Gate(theta)
grx = rx.RXGate(theta)
gry = ry.RYGate(theta)
grz = rz.RZGate(theta)
ugu1 = ac._unroll_gate(gu1, ['u1', 'u3', 'cx'])
ugrx = ac._unroll_gate(grx, ['u1', 'u3', 'cx'])
ugry = ac._unroll_gate(gry, ['u1', 'u3', 'cx'])
ugrz = ac._unroll_gate(grz, ['u1', 'u3', 'cx'])
ugrz.params = grz.params
cgu1 = ugu1.control(num_ctrl)
cgrx = ugrx.control(num_ctrl)
cgry = ugry.control(num_ctrl)
cgrz = ugrz.control(num_ctrl)
@data((gu1, cgu1), (grx, cgrx), (gry, cgry), (grz, cgrz))
@unpack
def test_single_controlled_rotation_gates(self, gate, cgate):
"""Test the controlled rotation gates controlled on one qubit."""
if gate.name == 'rz':
iden = Operator.from_label('I')
zgen = Operator.from_label('Z')
op_mat = (np.cos(0.5 * self.theta) * iden -
1j * np.sin(0.5 * self.theta) * zgen).data
else:
op_mat = Operator(gate).data
ref_mat = Operator(cgate).data
cop_mat = _compute_control_matrix(op_mat, self.num_ctrl)
self.assertTrue(matrix_equal(cop_mat, ref_mat, ignore_phase=True))
cqc = QuantumCircuit(self.num_ctrl + self.num_target)
cqc.append(cgate, cqc.qregs[0])
dag = circuit_to_dag(cqc)
unroller = Unroller(['u3', 'cx'])
uqc = dag_to_circuit(unroller.run(dag))
self.log.info('%s gate count: %d', cgate.name, uqc.size())
self.log.info('\n%s', str(uqc))
# these limits could be changed
if gate.name == 'ry':
self.assertTrue(uqc.size() <= 32)
elif gate.name == 'rz':
self.assertTrue(uqc.size() <= 40)
else:
self.assertTrue(uqc.size() <= 20)
def test_composite(self):
"""Test composite gate count."""
qreg = QuantumRegister(self.num_ctrl + self.num_target)
qc = QuantumCircuit(qreg, name='composite')
qc.append(self.grx.control(self.num_ctrl), qreg)
qc.append(self.gry.control(self.num_ctrl), qreg)
qc.append(self.gry, qreg[0:self.gry.num_qubits])
qc.append(self.grz.control(self.num_ctrl), qreg)
dag = circuit_to_dag(qc)
unroller = Unroller(['u3', 'cx'])
uqc = dag_to_circuit(unroller.run(dag))
self.log.info('%s gate count: %d', uqc.name, uqc.size())
self.assertTrue(uqc.size() <= 93) # this limit could be changed