def result():
qml.PauliX(0)
qml.PauliX(2)
qml.SingleExcitation(0.1, wires=[0, 1])
qml.SingleExcitation(0.2, wires=[2, 3])
qml.SingleExcitation(0.3, wires=[1, 2])
return qml.expval(qml.SparseHamiltonian(h, wires=[0, 1, 2, 3]))
def circuit(angles):
"""Prepares the quantum state in the problem statement and returns qml.probs
Args:
- angles (list(float)): The relevant angles in the problem statement in this order:
[alpha, beta, gamma]
Returns:
- (np.tensor): The probability of each computational basis state
"""
# QHACK #
# Prepare -|001011>
qml.PauliX(wires=2)
qml.PauliX(wires=4)
qml.PauliX(wires=5)
qml.PauliZ(wires=2)
# Exchange excitations
qml.SingleExcitation(angles[0],
wires=(1, 4)) # Rotate |001011> -> |011001>
qml.DoubleExcitation(3 * np.pi + angles[1],
wires=(0, 1, 4, 5)) # Rotate |001011> -> |111000>
qml.QubitUnitary(triple_excitation_matrix(angles[2]),
wires=(0, 1, 2, 3, 4, 5)) # Rotate |111000> -> |000111>
# QHACK #
return qml.probs(wires=range(NUM_WIRES))
def test_single_excitation_generator(self, phi):
"""Tests that the SingleExcitation operation calculates the correct generator"""
op = qml.SingleExcitation(phi, wires=[0, 1])
g, a = op.generator
res = expm(1j * a * g * phi)
exp = SingleExcitation(phi)
assert np.allclose(res, exp)
def test_single_excitation_decomp(self, phi):
"""Tests that the SingleExcitation operation calculates the correct decomposition.
Need to consider the matrix of CRY separately, as the control is wire 1
and the target is wire 0 in the decomposition."""
decomp = qml.SingleExcitation(phi, wires=[0, 1]).decompose()
mats = []
for i in reversed(decomp):
if i.wires.tolist() == [1, 0] and isinstance(i, qml.CRY):
new_mat = np.array([
[1, 0, 0, 0],
[0, np.cos(phi / 2), 0, -np.sin(phi / 2)],
[0, 0, 1, 0],
[0, np.sin(phi / 2), 0,
np.cos(phi / 2)],
])
mats.append(new_mat)
else:
mats.append(i.matrix)
decomposed_matrix = np.linalg.multi_dot(mats)
exp = SingleExcitation(phi)
assert np.allclose(decomposed_matrix, exp)
def test_custom_wires_circuit(self):
"""Test expected serialization for a simple circuit with custom wire labels"""
wires_dict = {"a": 0, 3.2: 1}
with qml.tape.QuantumTape() as tape:
qml.RX(0.4, wires="a")
qml.RY(0.6, wires=3.2)
qml.CNOT(wires=["a", 3.2])
qml.SingleExcitation(0.5, wires=["a", 3.2])
qml.SingleExcitationPlus(0.4, wires=["a", 3.2])
qml.SingleExcitationMinus(0.5, wires=["a", 3.2]).inv()
s = _serialize_ops(tape, wires_dict)
s_expected = (
(
[
"RX",
"RY",
"CNOT",
"SingleExcitation",
"SingleExcitationPlus",
"SingleExcitationMinus",
],
[[0.4], [0.6], [], [0.5], [0.4], [0.5]],
[[0], [1], [0, 1], [0, 1], [0, 1], [0, 1]],
[False, False, False, False, False, True],
[[], [], [], [], [], []],
),
False,
)
assert s == s_expected
def circuit_default():
qml.BasisState(hf_state, wires=range(qubits))
for i, excitation in enumerate(excitations):
if len(excitation) == 4:
qml.DoubleExcitation(1, wires=excitation)
elif len(excitation) == 2:
qml.SingleExcitation(1, wires=excitation)
return qml.expval(qml.SparseHamiltonian(H_sparse, wires=wires))
def op(op_name):
ops_list = {
"RX": qml.RX(0.123, wires=0),
"RY": qml.RY(1.434, wires=0),
"RZ": qml.RZ(2.774, wires=0),
"S": qml.S(wires=0),
"SX": qml.SX(wires=0),
"T": qml.T(wires=0),
"CNOT": qml.CNOT(wires=[0, 1]),
"CZ": qml.CZ(wires=[0, 1]),
"CY": qml.CY(wires=[0, 1]),
"SWAP": qml.SWAP(wires=[0, 1]),
"ISWAP": qml.ISWAP(wires=[0, 1]),
"SISWAP": qml.SISWAP(wires=[0, 1]),
"SQISW": qml.SQISW(wires=[0, 1]),
"CSWAP": qml.CSWAP(wires=[0, 1, 2]),
"PauliRot": qml.PauliRot(0.123, "Y", wires=0),
"IsingXX": qml.IsingXX(0.123, wires=[0, 1]),
"IsingXY": qml.IsingXY(0.123, wires=[0, 1]),
"IsingYY": qml.IsingYY(0.123, wires=[0, 1]),
"IsingZZ": qml.IsingZZ(0.123, wires=[0, 1]),
"Identity": qml.Identity(wires=0),
"Rot": qml.Rot(0.123, 0.456, 0.789, wires=0),
"Toffoli": qml.Toffoli(wires=[0, 1, 2]),
"PhaseShift": qml.PhaseShift(2.133, wires=0),
"ControlledPhaseShift": qml.ControlledPhaseShift(1.777, wires=[0, 2]),
"CPhase": qml.CPhase(1.777, wires=[0, 2]),
"MultiRZ": qml.MultiRZ(0.112, wires=[1, 2, 3]),
"CRX": qml.CRX(0.836, wires=[2, 3]),
"CRY": qml.CRY(0.721, wires=[2, 3]),
"CRZ": qml.CRZ(0.554, wires=[2, 3]),
"Hadamard": qml.Hadamard(wires=0),
"PauliX": qml.PauliX(wires=0),
"PauliY": qml.PauliY(wires=0),
"PauliZ": qml.PauliZ(wires=0),
"CRot": qml.CRot(0.123, 0.456, 0.789, wires=[0, 1]),
"DiagonalQubitUnitary": qml.DiagonalQubitUnitary(np.array([1.0, 1.0j]), wires=1),
"ControlledQubitUnitary": qml.ControlledQubitUnitary(
np.eye(2) * 1j, wires=[0], control_wires=[2]
),
"MultiControlledX": qml.MultiControlledX(wires=(0, 1, 2), control_values="01"),
"SingleExcitation": qml.SingleExcitation(0.123, wires=[0, 3]),
"SingleExcitationPlus": qml.SingleExcitationPlus(0.123, wires=[0, 3]),
"SingleExcitationMinus": qml.SingleExcitationMinus(0.123, wires=[0, 3]),
"DoubleExcitation": qml.DoubleExcitation(0.123, wires=[0, 1, 2, 3]),
"DoubleExcitationPlus": qml.DoubleExcitationPlus(0.123, wires=[0, 1, 2, 3]),
"DoubleExcitationMinus": qml.DoubleExcitationMinus(0.123, wires=[0, 1, 2, 3]),
"QFT": qml.QFT(wires=0),
"QubitSum": qml.QubitSum(wires=[0, 1, 2]),
"QubitCarry": qml.QubitCarry(wires=[0, 1, 2, 3]),
"QubitUnitary": qml.QubitUnitary(np.eye(2) * 1j, wires=0),
}
return ops_list.get(op_name)
def expand(self):
weights = self.parameters[0]
with qml.tape.QuantumTape() as tape:
BasisState(self.hf_state, wires=self.wires)
for i, d_wires in enumerate(self.doubles):
qml.DoubleExcitation(weights[len(self.singles) + i], wires=d_wires)
for j, s_wires in enumerate(self.singles):
qml.SingleExcitation(weights[j], wires=s_wires)
return tape
def circuit_ansatz(params, wires):
"""Circuit ansatz containing all the parametrized gates"""
qml.QubitStateVector(unitary_group.rvs(2**4, random_state=0)[0],
wires=wires)
qml.RX(params[0], wires=wires[0])
qml.RY(params[1], wires=wires[1])
qml.RX(params[2], wires=wires[2]).inv()
qml.RZ(params[0], wires=wires[3])
qml.CRX(params[3], wires=[wires[3], wires[0]])
qml.PhaseShift(params[4], wires=wires[2])
qml.CRY(params[5], wires=[wires[2], wires[1]])
qml.CRZ(params[5], wires=[wires[0], wires[3]]).inv()
qml.PhaseShift(params[6], wires=wires[0]).inv()
qml.Rot(params[6], params[7], params[8], wires=wires[0])
# # qml.Rot(params[8], params[8], params[9], wires=wires[1]).inv()
qml.MultiRZ(params[11], wires=[wires[0], wires[1]])
# # qml.PauliRot(params[12], "XXYZ", wires=[wires[0], wires[1], wires[2], wires[3]])
qml.CPhase(params[12], wires=[wires[3], wires[2]])
qml.IsingXX(params[13], wires=[wires[1], wires[0]])
qml.IsingXY(params[14], wires=[wires[3], wires[2]])
qml.IsingYY(params[14], wires=[wires[3], wires[2]])
qml.IsingZZ(params[14], wires=[wires[2], wires[1]])
qml.U1(params[15], wires=wires[0])
qml.U2(params[16], params[17], wires=wires[0])
qml.U3(params[18], params[19], params[20], wires=wires[1])
# # qml.CRot(params[21], params[22], params[23], wires=[wires[1], wires[2]]).inv() # expected tofail
qml.SingleExcitation(params[24], wires=[wires[2], wires[0]])
qml.DoubleExcitation(params[25],
wires=[wires[2], wires[0], wires[1], wires[3]])
qml.SingleExcitationPlus(params[26], wires=[wires[0], wires[2]])
qml.SingleExcitationMinus(params[27], wires=[wires[0], wires[2]])
qml.DoubleExcitationPlus(params[27],
wires=[wires[2], wires[0], wires[1], wires[3]])
qml.DoubleExcitationMinus(params[27],
wires=[wires[2], wires[0], wires[1], wires[3]])
qml.RX(params[28], wires=wires[0])
qml.RX(params[29], wires=wires[1])
"ControlledPhaseShift": qml.ControlledPhaseShift(0, wires=[0, 1]),
"QubitStateVector": qml.QubitStateVector(np.array([1.0, 0.0]), wires=[0]),
"QubitUnitary": qml.QubitUnitary(np.eye(2), wires=[0]),
"ControlledQubitUnitary": qml.ControlledQubitUnitary(np.eye(2), control_wires=[1], wires=[0]),
"MultiControlledX": qml.MultiControlledX(control_wires=[1, 2], wires=[0]),
"RX": qml.RX(0, wires=[0]),
"RY": qml.RY(0, wires=[0]),
"RZ": qml.RZ(0, wires=[0]),
"Rot": qml.Rot(0, 0, 0, wires=[0]),
"S": qml.S(wires=[0]),
"SWAP": qml.SWAP(wires=[0, 1]),
"T": qml.T(wires=[0]),
"SX": qml.SX(wires=[0]),
"Toffoli": qml.Toffoli(wires=[0, 1, 2]),
"QFT": qml.QFT(wires=[0, 1, 2]),
"SingleExcitation": qml.SingleExcitation(0, wires=[0, 1]),
"SingleExcitationPlus": qml.SingleExcitationPlus(0, wires=[0, 1]),
"SingleExcitationMinus": qml.SingleExcitationMinus(0, wires=[0, 1]),
"DoubleExcitation": qml.DoubleExcitation(0, wires=[0, 1, 2, 3]),
"DoubleExcitationPlus": qml.DoubleExcitationPlus(0, wires=[0, 1, 2, 3]),
"DoubleExcitationMinus": qml.DoubleExcitationMinus(0, wires=[0, 1, 2, 3]),
"QubitCarry": qml.QubitCarry(wires=[0, 1, 2, 3]),
"QubitSum:": qml.QubitSum(wires=[0, 1, 2]),
}
all_ops = ops.keys()
# non-parametrized qubit gates
I = np.identity(2)
X = np.array([[0, 1], [1, 0]])
Y = np.array([[0, -1j], [1j, 0]])
def test_single_excitation_matrix(self, phi):
"""Tests that the SingleExcitation operation calculates the correct matrix"""
op = qml.SingleExcitation(phi, wires=[0, 1])
res = op.matrix
exp = SingleExcitation(phi)
assert np.allclose(res, exp)
def circuit(phi):
qml.PauliX(wires=0)
qml.PauliX(wires=1)
qml.OrbitalRotation(phi, wires=[0, 1, 2, 3])
return qml.expval(qml.PauliZ(0))
phi_t = torch.tensor(phi, dtype=torch.complex128, requires_grad=True)
result = circuit(phi_t)
result.backward()
assert np.allclose(phi_t.grad, np.sin(phi))
label_data = [
(qml.SingleExcitation(1.2345, wires=(0, 1)), "G", "G\n(1.23)", "G\n(1)"),
(qml.SingleExcitationMinus(1.2345,
wires=(0, 1)), "G₋", "G₋\n(1.23)", "G₋\n(1)"),
(qml.SingleExcitationPlus(1.2345,
wires=(0, 1)), "G₊", "G₊\n(1.23)", "G₊\n(1)"),
(qml.DoubleExcitation(2.3456,
wires=(0, 1, 2, 3)), "G²", "G²\n(2.35)", "G²\n(2)"),
(qml.DoubleExcitationPlus(2.3456, wires=(0, 1, 2, 3)), "G²₊",
"G²₊\n(2.35)", "G²₊\n(2)"),
(qml.DoubleExcitationMinus(2.345, wires=(0, 1, 2, 3)), "G²₋",
"G²₋\n(2.35)", "G²₋\n(2)"),
(
qml.OrbitalRotation(2.3456, wires=(0, 1, 2, 3)),
"OrbitalRotation",
"OrbitalRotation\n(2.35)",
"OrbitalRotation\n(2)",
def circuit_decomposed(weights):
qml.BasisState(np.array([1, 1, 0, 0]), wires=range(4))
qml.DoubleExcitation(weights[1], wires=[0, 1, 2, 3])
qml.SingleExcitation(weights[0], wires=[0, 1])
return qml.expval(qml.PauliZ(0))
def circuit(x):
qml.SingleExcitation(x, wires=[0, 1])
return qml.expval(qml.PauliX(0))
def circuit(params, wires):
qml.PauliX(0)
qml.PauliX(1)
qml.DoubleExcitation(params[0], wires=[0, 1, 2, 3])
qml.SingleExcitation(params[1], wires=[0, 2])
qml.SingleExcitation(params[2], wires=[1, 3])
