def _build_composite_gate(self, x, qr):
composite_gate = CompositeGate(
"first_order_expansion", [],
[qr[i] for i in range(self._num_qubits)])
for _ in range(self._depth):
for i in range(x.shape[0]):
composite_gate._attach(U2Gate(0, np.pi, qr[i]))
composite_gate._attach(U1Gate(2 * x[i], qr[i]))
return composite_gate
def _build_composite_gate(self, x, qr):
composite_gate = CompositeGate(
"second_order_expansion", [],
[qr[i] for i in range(self._num_qubits)])
for _ in range(self._depth):
for i in range(x.shape[0]):
composite_gate._attach(U2Gate(0, np.pi, qr[i]))
composite_gate._attach(U1Gate(2 * x[i], qr[i]))
for src, targs in self._entangler_map.items():
for targ in targs:
composite_gate._attach(CnotGate(qr[src], qr[targ]))
composite_gate._attach(
U1Gate(2 * (np.pi - x[src]) * (np.pi - x[targ]),
qr[targ]))
composite_gate._attach(CnotGate(qr[src], qr[targ]))
return composite_gate
def _convert_to_basis_gates(gates):
if isinstance(gates, list):
return [Custom._convert_to_basis_gates(gate) for gate in gates]
elif isinstance(gates, CompositeGate):
gates_data = [
Custom._convert_to_basis_gates(gate) for gate in gates.data
]
gates = CompositeGate(gates.name,
gates.param,
gates.arg,
circuit=gates.circuit)
gates.data = gates_data
return gates
else:
if isinstance(gates, RYGate):
return U3Gate(gates.param[0], 0, 0, gates.arg[0])
elif isinstance(gates, RZGate):
return U1Gate(gates.param[0], gates.arg[0])
elif isinstance(gates, CnotGate):
return gates
else:
raise RuntimeError(
'Unexpected component {} from the initialization circuit.'.
format(gates.qasm()))
def createCG3(circ, args, anc_cl, n, reg, reg2, pie, anc, a_cl):
"""
Creates a CompositeGate cgate with a series of instructions controlled
by ClassicalRegister anc_cl holding the value 3.
Parameters:
circ: QuantumCircuit
args: List containing (Register, index) pairs that the CompositeGate
will affect.
reg, reg2, anc: QuantumRegisters
anc_cl, a_cl: ClassicalRegisters
n: integer
pie: float representing pi (3.14..)
Returns:
cgate: CompositeGate
"""
cgate = CompositeGate("cl_" + str(3), [pie], args, circuit=circ)
#Compute (reg - reg2)/2
cgate = subtract.subtract(circ, n, pie, reg, reg2, cgate, -1, anc_cl, 3)
cgate = divideBy2(cgate, n, circ, reg, anc_cl, 3, anc, a_cl)
return cgate
def createCG(circ, args, anc_cl, n, num, anc, a_cl, \
reg, reg2 = None, reg3 = None):
"""
Creates a CompositeGate cgate with a series of instructions controlled
by ClassicalRegister anc_cl holding the value num.
Parameters:
circ: QuantumCircuit
args: List containing (Register, index) pairs that the CompositeGate
will affect.
reg, reg2, reg3, anc: QuantumRegisters
anc_cl, a_cl: ClassicalRegisters
n, num: integers
pie: float representing pi (3.14..)
Returns:
cgate: CompositeGate
"""
cgate = CompositeGate("cl_" + str(num), [], args, circuit=circ)
cgate = divideBy2(cgate, n, circ, reg, anc_cl, num, anc, a_cl)
if num == 0:
cgate = divideBy2(cgate, n, circ, reg2, anc_cl, num, anc, a_cl)
cgate = multiplyBy2(cgate, n, circ, reg3, anc_cl, num)
return cgate
def _multiplex(self, bottom_gate, bottom_qubit_index, list_of_angles):
"""
Internal recursive method to create gates to perform rotations on the
imaginary qubits: works by rotating LSB (and hence ALL imaginary
qubits) by combo angle and then flipping sign (by flipping the bit,
hence moving the complex amplitudes) of half the imaginary qubits
(CNOT) followed by another combo angle on LSB, therefore executing
conditional (on MSB) rotations, thereby disentangling LSB.
"""
list_len = len(list_of_angles)
target_qubit = self.nth_qubit_from_least_sig_qubit(bottom_qubit_index)
# Case of no multiplexing = base case for recursion
if list_len == 1:
return bottom_gate(list_of_angles[0], target_qubit)
local_num_qubits = int(math.log2(list_len)) + 1
control_qubit = self.nth_qubit_from_least_sig_qubit(
local_num_qubits - 1 + bottom_qubit_index)
# calc angle weights, assuming recursion (that is the lower-level
# requested angles have been correctly implemented by recursion
angle_weight = scipy.kron([[0.5, 0.5], [0.5, -0.5]],
numpy.identity(2 ** (local_num_qubits - 2)))
# calc the combo angles
list_of_angles = (angle_weight * numpy.matrix(
list_of_angles).transpose()).reshape(-1).tolist()[0]
combine_composite_gates = CompositeGate(
"multiplex" + local_num_qubits.__str__(), [], self.arg)
# recursive step on half the angles fulfilling the above assumption
combine_composite_gates._attach(
self._multiplex(bottom_gate, bottom_qubit_index,
list_of_angles[0:(list_len // 2)]))
# combine_composite_gates.cx(control_qubit,target_qubit) -> does not
# work as expected because checks circuit
# so attach CNOT as follows, thereby flipping the LSB qubit
combine_composite_gates._attach(CnotGate(control_qubit, target_qubit))
# implement extra efficiency from the paper of cancelling adjacent
# CNOTs (by leaving out last CNOT and reversing (NOT inverting) the
# second lower-level multiplex)
sub_gate = self._multiplex(
bottom_gate, bottom_qubit_index, list_of_angles[(list_len // 2):])
if isinstance(sub_gate, CompositeGate):
combine_composite_gates._attach(sub_gate.reverse())
else:
combine_composite_gates._attach(sub_gate)
# outer multiplex keeps final CNOT, because no adjacent CNOT to cancel
# with
if self.num_qubits == local_num_qubits + bottom_qubit_index:
combine_composite_gates._attach(CnotGate(control_qubit,
target_qubit))
return combine_composite_gates
quantum_r = QuantumRegister(4, "qr")
classical_r = ClassicalRegister(4, "cr")
circuit = QuantumCircuit(quantum_r, classical_r)
circuit.h(quantum_r[0])
circuit.rx(0, quantum_r[0])
circuit.cx(quantum_r[0], quantum_r[1])
circuit.cx(quantum_r[0], quantum_r[1])
circuit.h(quantum_r[0])
circuit.cx(quantum_r[0], quantum_r[1])
composite_gate_1 = CompositeGate("composite1", [],
[quantum_r[x] for x in range(4)])
composite_gate_1._attach(CnotGate(quantum_r[0], quantum_r[1]))
circuit._attach(composite_gate_1)
circuit.h(quantum_r[0])
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)])
}
Q_program = QuantumProgram(specs=Q_SPECS)
circuit = Q_program.get_circuit("Circuit")
quantum_r = Q_program.get_quantum_register("qr")
classical_r = Q_program.get_classical_register('cr')
circuit.h(quantum_r[0])
circuit.rx(0, quantum_r[0])
circuit.cx(quantum_r[0], quantum_r[1])
circuit.cx(quantum_r[0], quantum_r[1])
circuit.h(quantum_r[0])
circuit.cx(quantum_r[0], quantum_r[1])
composite_gate_1 = CompositeGate("composite1", [],
[quantum_r[x] for x in range(4)])
composite_gate_1._attach(CnotGate(quantum_r[0], quantum_r[1]))
circuit._attach(composite_gate_1)
circuit.h(quantum_r[0])
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", [],
def _multiplex(self, bottom_gate, bottom_qubit_index, list_of_angles):
"""
Internal recursive method to create gates to perform rotations on the
imaginary qubits: works by rotating LSB (and hence ALL imaginary
qubits) by combo angle and then flipping sign (by flipping the bit,
hence moving the complex amplitudes) of half the imaginary qubits
(CNOT) followed by another combo angle on LSB, therefore executing
conditional (on MSB) rotations, thereby disentangling LSB.
"""
list_len = len(list_of_angles)
target_qubit = self.nth_qubit_from_least_sig_qubit(bottom_qubit_index)
# Case of no multiplexing = base case for recursion
if list_len == 1:
return bottom_gate(list_of_angles[0], target_qubit)
local_num_qubits = int(math.log2(list_len)) + 1
control_qubit = self.nth_qubit_from_least_sig_qubit(
local_num_qubits - 1 + bottom_qubit_index)
# calc angle weights, assuming recursion (that is the lower-level
# requested angles have been correctly implemented by recursion
angle_weight = scipy.kron([[0.5, 0.5], [0.5, -0.5]],
numpy.identity(2 ** (local_num_qubits - 2)))
# calc the combo angles
list_of_angles = (angle_weight * numpy.matrix(
list_of_angles).transpose()).reshape(-1).tolist()[0]
combine_composite_gates = CompositeGate(
"multiplex" + local_num_qubits.__str__(), [], self.arg)
# recursive step on half the angles fulfilling the above assumption
combine_composite_gates._attach(
self._multiplex(bottom_gate, bottom_qubit_index,
list_of_angles[0:(list_len // 2)]))
# combine_composite_gates.cx(control_qubit,target_qubit) -> does not
# work as expected because checks circuit
# so attach CNOT as follows, thereby flipping the LSB qubit
combine_composite_gates._attach(CnotGate(control_qubit, target_qubit))
# implement extra efficiency from the paper of cancelling adjacent
# CNOTs (by leaving out last CNOT and reversing (NOT inverting) the
# second lower-level multiplex)
sub_gate = self._multiplex(
bottom_gate, bottom_qubit_index, list_of_angles[(list_len // 2):])
if isinstance(sub_gate, CompositeGate):
combine_composite_gates._attach(sub_gate.reverse())
else:
combine_composite_gates._attach(sub_gate)
# outer multiplex keeps final CNOT, because no adjacent CNOT to cancel
# with
if self.num_qubits == local_num_qubits + bottom_qubit_index:
combine_composite_gates._attach(CnotGate(control_qubit,
target_qubit))
return combine_composite_gates
def compute_gcd(first, second, n, gcd_factor):
"""
Computes the GCD of two numbers stored in QuantumRegisters a and b.
Parameters:
first, second, gcd_factor: Bit strings
n: integer representing the length of the bit strings
Returns:
zero_status, gcd_factor, a_value, equality_status, b_value: Bit strings
representing whether one or both of the numbers are equal to zero,
the factor by which to multiply b_value to obtain the GCD, the value
stored in register a, whether the two numbers are equal to each other,
and the value stored in register b, respectively.
"""
a = QuantumRegister(n, "aq")
b = QuantumRegister(n, "bq")
anc = QuantumRegister(2, "ancq")
res = QuantumRegister(n, "resq")
zero = QuantumRegister(2, "zq")
anc_cl = ClassicalRegister(2, "anccl")
zero_cl = ClassicalRegister(2, "zcl")
a_cl = ClassicalRegister(n, "acl")
b_cl = ClassicalRegister(n, "bcl")
res_cl = ClassicalRegister(n, "cl")
qc = QuantumCircuit(a,
b,
anc,
res,
zero,
anc_cl,
zero_cl,
res_cl,
a_cl,
b_cl,
name="qc")
for i in range(0, n):
if first[i] == "1":
qc.x(a[n - (i + 1)])
for i in range(0, n):
if second[i] == "1":
qc.x(b[n - (i + 1)])
for i in range(0, n):
if gcd_factor[i] == "1":
qc.x(res[n - (i + 1)])
qc.measure(a, res_cl)
qc.x(zero[0]).c_if(res_cl, 0)
qc.measure(b, res_cl)
qc.x(zero[1]).c_if(res_cl, 0)
qc.measure(zero, zero_cl)
#Resetting the zero qreg to 0, with zero_cl holding the zero status
qc.x(zero[0]).c_if(res_cl, 0)
qc.measure(a, res_cl)
qc.x(zero[1]).c_if(res_cl, 0)
#Resetting res_cl to zero again.
for i in range(n):
qc.measure(zero[0], res_cl[i])
#Checking for equality
args = [a[x] for x in range(n)] + [b[x] for x in range(n)]
csub = CompositeGate("csub", [math.pi], args, circuit="qc")
csub = subtract.subtract(qc, n, math.pi, a, b, csub, -1)
qc.measure(a, res_cl)
qc.x(zero[0]).c_if(res_cl, 0)
cadd = CompositeGate("csub", [math.pi], args, circuit="qc")
cadd = subtract.subtract(qc, n, math.pi, a, b, cadd, 1)
#Checking if either b, a or both are zero - if they are, then swap
#the 1 in res_q out for a zero
qc.swap(res[0], zero[0]).c_if(zero_cl, 1)
qc.swap(res[0], zero[0]).c_if(zero_cl, 2)
qc.swap(res[0], zero[0]).c_if(zero_cl, 3)
#flip the 1 in zero_q to make zero_q on the zero state again.
qc.x(zero[0]).c_if(zero_cl, 1)
qc.x(zero[0]).c_if(zero_cl, 2)
qc.x(zero[0]).c_if(zero_cl, 3)
zero_status, gcd_factor, b_value, equality_status, a_value = \
gcd_main.gcd(qc, a, b, res, anc, zero, zero_cl, anc_cl, res_cl,
n, a_cl, b_cl)
return zero_status, gcd_factor, b_value, equality_status, a_value