Bitwise Operations

from qualtran import Bloq, CompositeBloq, BloqBuilder, Signature, Register
from qualtran import QBit, QInt, QUInt, QAny
from qualtran.drawing import show_bloq, show_call_graph, show_counts_sigma
from typing import *
import numpy as np
import sympy
import cirq

Xor

Xor the value of one register into another via CNOTs.

Maps basis states \(|x, y\rangle\) to \(|x, y \oplus x\rangle\).

When both registers are in computational basis and the destination is 0, effectively copies the value of the source into the destination.

Parameters

• dtype: Data type of the input registers x and y.

Registers

• x: The source register.

• y: The target register.

from qualtran.bloqs.arithmetic import Xor

Example Instances

xor = Xor(QAny(4))

xor_symb = Xor(QAny(sympy.Symbol("n")))

Graphical Signature

from qualtran.drawing import show_bloqs
show_bloqs([xor, xor_symb],
           ['`xor`', '`xor_symb`'])

Call Graph

from qualtran.resource_counting.generalizers import ignore_split_join
xor_g, xor_sigma = xor.call_graph(max_depth=1, generalizer=ignore_split_join)
show_call_graph(xor_g)
show_counts_sigma(xor_sigma)

Counts totals:

• CNOT: 4

BitwiseNot

Flips every bit of the input register.

Parameters

• dtype: Data type of the input register x.

Registers

• x: A quantum register of type self.dtype.

from qualtran.bloqs.arithmetic import BitwiseNot

Example Instances

bitwise_not = BitwiseNot(QUInt(4))

n = sympy.Symbol("n")
bitwise_not_symb = BitwiseNot(QUInt(n))

Graphical Signature

from qualtran.drawing import show_bloqs
show_bloqs([bitwise_not, bitwise_not_symb],
           ['`bitwise_not`', '`bitwise_not_symb`'])

Call Graph

from qualtran.resource_counting.generalizers import ignore_split_join
bitwise_not_g, bitwise_not_sigma = bitwise_not.call_graph(max_depth=1, generalizer=ignore_split_join)
show_call_graph(bitwise_not_g)
show_counts_sigma(bitwise_not_sigma)

Counts totals:

• XGate⨂4: 1