# Copyright 2021 SpinQ Technology Co., Ltd.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import List
from math import pi
from .gates import *
def control_basis_decomposition(gate: Gate, qubits: List) -> List:
if gate == X:
return [(CX, [qubits[0], qubits[1]])]
elif gate == Y:
return [(CY, [qubits[0], qubits[1]])]
elif gate == Z:
return [(CZ, [qubits[0], qubits[1]])]
elif gate == I:
return [(I, [qubits[0]]), (I, [qubits[1]])]
elif gate == H:
return CH_decomposition(qubits)
elif gate == P:
return CP_decomposition(qubits)
elif gate == T:
return CT_decomposition(qubits)
elif gate == Td:
return CTd_decomposition(qubits)
elif gate == S:
return CS_decomposition(qubits)
elif gate == Sd:
return CSd_decomposition(qubits)
elif gate == U:
return CU_decomposition(qubits)
elif gate == Rx:
return CRx_decomposition(qubits)
elif gate == Ry:
return CRy_decomposition(qubits)
elif gate == Rz:
return CRz_decomposition(qubits)
elif gate == CX or gate.label == 'CX':
return CCX
elif gate == CZ:
return CCZ_decomposition(qubits)
return []
def CH_decomposition(qubits: List):
__factors = []
__factors.append((H, [qubits[1]]))
__factors.append((Sd, [qubits[1]]))
__factors.append((CX, [qubits[0],qubits[1]]))
__factors.append((H, [qubits[1]]))
__factors.append((T, [qubits[1]]))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((T, [qubits[1]]))
__factors.append((H, [qubits[1]]))
__factors.append((S, [qubits[1]]))
__factors.append((X, [qubits[1]]))
__factors.append((S, [qubits[0]]))
return __factors
def CP_decomposition(qubits: List):
__factors = []
__factors.append((P, [qubits[0]], lambda params: params[0]/2))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((P, [qubits[1]], lambda params: -params[0]/2))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((P, [qubits[1]], lambda params: params[0]/2))
return __factors
def CT_decomposition(qubits: List):
__factors = []
__factors.append((P, [qubits[0]], lambda *args: pi/8))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((P, [qubits[1]], lambda *args: -pi/8))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((P, [qubits[1]], lambda *args: pi/8))
return __factors
def CTd_decomposition(qubits: List):
__factors = []
__factors.append((P, [qubits[0]], lambda *args: -pi/8))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((P, [qubits[1]], lambda *args: pi/8))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((P, [qubits[1]], lambda *args: -pi/8))
return __factors
def CS_decomposition(qubits: List):
__factors = []
__factors.append((T, [qubits[0]]))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((Td, [qubits[1]]))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((T, [qubits[1]]))
return __factors
def CSd_decomposition(qubits: List):
__factors = []
__factors.append((Td, [qubits[0]]))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((T, [qubits[1]]))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((Td, [qubits[1]]))
return __factors
def CU_decomposition(qubits: List):
__factors = []
__factors.append((P, [qubits[0]], lambda params: (params[2]+params[1])/2))
__factors.append((P, [qubits[1]], lambda params: (params[2]-params[1])/2))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((U, [qubits[1]], lambda params: (-params[0]/2, 0, -(params[2]+params[1]))))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((U, [qubits[1]], lambda params: (params[0]/2, params[1], 0)))
return __factors
def CRx_decomposition(qubits: List):
__factors = []
__factors.append((Rz, [qubits[1]], lambda *args: pi/2))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((Ry, [qubits[1]], lambda params: -params[0]/2))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((Ry, [qubits[1]], lambda params: params[0]/2))
__factors.append((Rz, [qubits[1]], lambda *args: -pi/2))
return __factors
def CRy_decomposition(qubits: List):
__factors = []
__factors.append((Ry, [qubits[1]], lambda params: params[0]/2))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((Ry, [qubits[1]], lambda params: -params[0]/2))
__factors.append((CX, [qubits[0], qubits[1]]))
return __factors
def CRz_decomposition(qubits: List):
__factors = []
__factors.append((Rz, [qubits[1]], lambda params: params[0]/2))
__factors.append((CX, [qubits[0], qubits[1]]))
__factors.append((Rz, [qubits[1]], lambda params: -params[0]/2))
__factors.append((CX, [qubits[0], qubits[1]]))
return __factors
def CCX_decomposition(qubits: List):
__factors = []
__factors.append((H, [qubits[2]]))
__factors.append((CX, [qubits[1],qubits[2]]))
__factors.append((Td, [qubits[2]]))
__factors.append((CX, [qubits[0],qubits[2]]))
__factors.append((T, [qubits[2]]))
__factors.append((CX, [qubits[1],qubits[2]]))
__factors.append((Td, [qubits[2]]))
__factors.append((CX, [qubits[0],qubits[2]]))
__factors.append((T, [qubits[1]]))
__factors.append((T, [qubits[2]]))
__factors.append((H, [qubits[2]]))
__factors.append((CX, [qubits[0],qubits[1]]))
__factors.append((T, [qubits[0]]))
__factors.append((Td, [qubits[1]]))
__factors.append((CX, [qubits[0],qubits[1]]))
return __factors
def CCZ_decomposition(qubits: List):
__factors = []
__factors.append((H, [qubits[2]]))
__factors.append((CCX, qubits))
__factors.append((H, [qubits[2]]))
return __factors
