def cnot_rxx_decompose(plus_ry=True, plus_rxx=True):
"""Decomposition of CNOT gate.
NOTE: this differs to CNOT by a global phase.
The matrix returned is given by exp(1j * pi/4) * CNOT
Args:
plus_ry (bool): positive initial RY rotation
plus_rxx (bool): positive RXX rotation.
Returns:
QuantumCircuit: The decomposed circuit for CNOT gate (up to
global phase).
"""
# Convert boolean args to +/- 1 signs
if plus_ry:
sgn_ry = 1
else:
sgn_ry = -1
if plus_rxx:
sgn_rxx = 1
else:
sgn_rxx = -1
circuit = QuantumCircuit(2)
circuit.append(RYGate(sgn_ry * np.pi / 2), [0])
circuit.append(RXXGate(sgn_rxx * np.pi / 2), [0, 1])
circuit.append(RXGate(-sgn_rxx * np.pi / 2), [0])
circuit.append(RXGate(-sgn_rxx * sgn_ry * np.pi / 2), [1])
circuit.append(RYGate(-sgn_ry * np.pi / 2), [0])
return circuit
def test_get_variables(self):
"""Test instantiating gate with variable parmeters"""
from qiskit.extensions.standard.rx import RXGate
theta = sympy.Symbol('θ')
qr = QuantumRegister(1)
qc = QuantumCircuit(qr)
rxg = RXGate(theta)
qc.append(rxg, [qr[0]], [])
vparams = qc.variable_table
self.assertIs(theta, next(iter(vparams)))
self.assertIs(rxg, next(iter(next(iter(vparams[theta])))))
def test_get_parameters(self):
"""Test instantiating gate with variable parmeters"""
from qiskit.extensions.standard.rx import RXGate
theta = Parameter('θ')
qr = QuantumRegister(1)
qc = QuantumCircuit(qr)
rxg = RXGate(theta)
qc.append(rxg, [qr[0]], [])
vparams = qc._parameter_table
self.assertEqual(len(vparams), 1)
self.assertIs(theta, next(iter(vparams)))
self.assertIs(rxg, vparams[theta][0][0])
def _define(self):
"""Calculate a subcircuit that implements this unitary."""
from qiskit.extensions.standard.x import CXGate
from qiskit.extensions.standard.rx import RXGate
from qiskit.extensions.standard.rz import RZGate
definition = []
q = QuantumRegister(2, 'q')
theta = self.params[0]
rule = [
(RXGate(np.pi / 2), [q[0]], []),
(RXGate(np.pi / 2), [q[1]], []),
(CXGate(), [q[0], q[1]], []),
(RZGate(theta), [q[1]], []),
(CXGate(), [q[0], q[1]], []),
(RXGate(-np.pi / 2), [q[0]], []),
(RXGate(-np.pi / 2), [q[1]], []),
]
for inst in rule:
definition.append(inst)
self.definition = definition
def _define(self):
"""
gate cz a,b { h b; cx a,b; h b; }
"""
theta, phi, lam = self.params
definition = []
q = QuantumRegister(1, "q")
rule = [(RZGate(theta), [q[0]], []), (RXGate(phi), [q[0]], []),
(RZGate(lam), [q[0]], [])]
for inst in rule:
definition.append(inst)
self.definition = definition
def test_is_parameterized(self):
"""Test checking if a gate is parameterized (bound/unbound)"""
from qiskit.extensions.standard.h import HGate
from qiskit.extensions.standard.rx import RXGate
theta = Parameter('θ')
rxg = RXGate(theta)
self.assertTrue(rxg.is_parameterized())
theta_bound = theta.bind({theta: 3.14})
rxg = RXGate(theta_bound)
self.assertFalse(rxg.is_parameterized())
h_gate = HGate()
self.assertFalse(h_gate.is_parameterized())
def create_dag_op(self, name, args, qubits):
"""Create a DAG op node.
"""
if name == "u0":
op = U0Gate(args[0], qubits[0])
elif name == "u1":
op = U1Gate(args[0], qubits[0])
elif name == "u2":
op = U2Gate(args[0], args[1], qubits[0])
elif name == "u3":
op = U3Gate(args[0], args[1], args[2], qubits[0])
elif name == "x":
op = XGate(qubits[0])
elif name == "y":
op = YGate(qubits[0])
elif name == "z":
op = ZGate(qubits[0])
elif name == "t":
op = TGate(qubits[0])
elif name == "tdg":
op = TdgGate(qubits[0])
elif name == "s":
op = SGate(qubits[0])
elif name == "sdg":
op = SdgGate(qubits[0])
elif name == "swap":
op = SwapGate(qubits[0], qubits[1])
elif name == "rx":
op = RXGate(args[0], qubits[0])
elif name == "ry":
op = RYGate(args[0], qubits[0])
elif name == "rz":
op = RZGate(args[0], qubits[0])
elif name == "rzz":
op = RZZGate(args[0], qubits[0], qubits[1])
elif name == "id":
op = IdGate(qubits[0])
elif name == "h":
op = HGate(qubits[0])
elif name == "cx":
op = CnotGate(qubits[0], qubits[1])
elif name == "cy":
op = CyGate(qubits[0], qubits[1])
elif name == "cz":
op = CzGate(qubits[0], qubits[1])
elif name == "ch":
op = CHGate(qubits[0], qubits[1])
elif name == "crz":
op = CrzGate(args[0], qubits[0], qubits[1])
elif name == "cu1":
op = Cu1Gate(args[0], qubits[0], qubits[1])
elif name == "cu3":
op = Cu3Gate(args[0], args[1], args[2], qubits[0], qubits[1])
elif name == "ccx":
op = ToffoliGate(qubits[0], qubits[1], qubits[2])
elif name == "cswap":
op = FredkinGate(qubits[0], qubits[1], qubits[2])
else:
raise BackendError("unknown operation for name ast node name %s" %
name)
self.circuit.add_basis_element(op.name, len(op.qargs), len(op.cargs),
len(op.param))
self.start_gate(op)
self.end_gate(op)
def _RX_adj_ctl(control: Union[AllOneControl, Qubits], angle: float, q: Qubits): _multiplexed_control(RXGate(angle).inverse(), control, q)
def _RX_adj(theta: float, q: Qubits): bp.__ALLOCATIONS__[-1].circuit.append(RXGate(theta).inverse(), [q.qiskit_qubits])
def run(self, dag):
"""Run the CommutativeCancellation pass on a dag
Args:
dag (DAGCircuit): the DAG to be optimized.
Returns:
DAGCircuit: the optimized DAG.
Raises:
TranspilerError: when the 1 qubit rotation gates are not found
"""
# Now the gates supported are hard-coded
q_gate_list = ['cx', 'cy', 'cz', 'h', 'y']
# Gate sets to be cancelled
cancellation_sets = defaultdict(lambda: [])
# Traverse each qubit to generate the cancel dictionaries
# Cancel dictionaries:
# - For 1 qubit gates the key is (gate_type, qubit_id, commutation_set_id),
# the value is the list of gates that share the same gate type, qubit, commutation set.
# - For 2qbit gates the key: (gate_type, first_qbit, sec_qbit, first commutation_set_id,
# sec_commutation_set_id), the value is the list gates that share the same gate type,
# qubits and commutation sets.
for wire in dag.wires:
wire_name = "{0}[{1}]".format(str(wire.register.name),
str(wire.index))
wire_commutation_set = self.property_set['commutation_set'][
wire_name]
for com_set_idx, com_set in enumerate(wire_commutation_set):
if com_set[0].type in ['in', 'out']:
continue
for node in com_set:
num_qargs = len(node.qargs)
if num_qargs == 1 and node.name in q_gate_list:
cancellation_sets[(node.name, wire_name,
com_set_idx)].append(node)
if num_qargs == 1 and node.name in [
'z', 'u1', 'rz', 't', 's'
]:
cancellation_sets[('z_rotation', wire_name,
com_set_idx)].append(node)
if num_qargs == 1 and node.name in ['rx', 'x']:
cancellation_sets[('x_rotation', wire_name,
com_set_idx)].append(node)
# Doen't deal with Y rotaion, because Y rotation doesn't commute with CNOT, so
# it should be dealt with by optimized1qgate pass
elif num_qargs == 2 and node.qargs[0] == wire:
second_op_name = "{0}[{1}]".format(
str(node.qargs[1].register.name),
str(node.qargs[1].index))
q2_key = (node.name, wire_name, second_op_name,
com_set_idx,
self.property_set['commutation_set'][(
node, second_op_name)])
cancellation_sets[q2_key].append(node)
for cancel_set_key in cancellation_sets:
set_len = len(cancellation_sets[cancel_set_key])
if ((set_len) > 1 and cancel_set_key[0] in q_gate_list):
gates_to_cancel = cancellation_sets[cancel_set_key]
for c_node in gates_to_cancel[:(set_len // 2) * 2]:
dag.remove_op_node(c_node)
elif ((set_len) > 1
and cancel_set_key[0] in ['z_rotation', 'x_rotation']):
run = cancellation_sets[cancel_set_key]
run_qarg = run[0].qargs[0]
total_angle = 0.0 # lambda
for current_node in run:
if (current_node.condition is not None
or len(current_node.qargs) != 1
or current_node.qargs[0] != run_qarg):
raise TranspilerError("internal error")
if current_node.name in ['u1', 'rz', 'rx']:
current_angle = float(current_node.op.params[0])
elif current_node.name in ['z', 'x']:
current_angle = np.pi
elif current_node.name == 't':
current_angle = np.pi / 4
elif current_node.name == 's':
current_angle = np.pi / 2
# Compose gates
total_angle = current_angle + total_angle
# Replace the data of the first node in the run
if cancel_set_key[0] == 'z_rotation':
new_op = U1Gate(total_angle)
elif cancel_set_key[0] == 'x_rotation':
new_op = RXGate(total_angle)
if np.mod(total_angle, (2 * np.pi)) > _CUTOFF_PRECISION:
new_qarg = QuantumRegister(1, 'q')
new_dag = DAGCircuit()
new_dag.add_qreg(new_qarg)
new_dag.apply_operation_back(new_op, [new_qarg[0]])
dag.substitute_node_with_dag(run[0], new_dag)
# Delete the other nodes in the run
for current_node in run[1:]:
dag.remove_op_node(current_node)
if np.mod(total_angle, (2 * np.pi)) < _CUTOFF_PRECISION:
dag.remove_op_node(run[0])
return dag
composite_gate_2 = CompositeGate("composite2", [],
[quantum_r[x] for x in range(4)])
composite_gate_2._attach(CnotGate(quantum_r[0], quantum_r[1]))
circuit._attach(composite_gate_2)
circuit.cx(quantum_r[0], quantum_r[1])
circuit.h(quantum_r[0])
composite_gate_3 = CompositeGate("composite3", [],
[quantum_r[x] for x in range(4)])
composite_gate_3._attach(CnotGate(quantum_r[0], quantum_r[1]))
composite_gate_3._attach(CnotGate(quantum_r[0], quantum_r[2]))
circuit._attach(composite_gate_3)
circuit.h(quantum_r[0])
composite_gate_4 = CompositeGate("composite4", [],
[quantum_r[x] for x in range(4)])
composite_gate_4._attach(CnotGate(quantum_r[0], quantum_r[1]))
composite_gate_4._attach(RXGate(0, quantum_r[0]))
composite_gate_4._attach(CnotGate(quantum_r[0], quantum_r[1]))
circuit._attach(composite_gate_4)
print("Removed Zero Rotations: " + str(circuit.remove_zero_rotations()))
print("Removed Double CNOTs: " + str(circuit.remove_double_cnots_once()))
QASM_source = circuit.qasm()
print(QASM_source)