Bitwise Or

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The Bitwise Or (denoted as ’|’) is implemented by applying the following truth table between each pair of qubits (or qubit and bit) in variables A and B. Note that integer and fixed-point numbers are represented in a two-complement method during function evaluation. The binary number is extended in the case of a variable size mismatch. For example, the positive signed number

(110)_2=6

is expressed as

(00110)_2

when operating with a five-qubit variable. Similarly, the negative signed number

(110)_2=-2

is expressed as

(11110)_2

. Examples: 5 | 3 = 7 since 101 | 011 = 111 5 | -3 = -3 since 0101 | 1101 = 1101 -5 | -3 = -1 since 1011 | 1101 = 1111

Examples

Example 1: Two Quantum Variables

This example generates a quantum program that performs bitwise ‘or’ between two variables. The left arg is a signed with five qubits and the right arg is unsigned with three qubits.

from classiq import *


@qfunc
def main(a: Output[QNum], b: Output[QNum], res: Output[QNum]) -> None:
    allocate(5, True, 0, a)
    allocate(3, False, 0, b)
    a ^= 4
    b ^= 5
    res |= a | b

qprog = synthesize(main)

result = sample(qprog)
print(result)

Output:

Exception in callback Task.__step()
  handle: <Handle Task.__step()>
  Traceback (most recent call last):
    File "/Users/alexandrecesarricardo/.pyenv/versions/3.11.15/lib/python3.11/asyncio/events.py", line 84, in _run
      self._context.run(self._callback, *self._args)
  RuntimeError: cannot enter context: <_contextvars.

Context object at 0x10a0a8200> is already entered
  Submitting job to simulator
  Task was destroyed but it is pending!
  task: <Task pending name='Task-6' coro=<_async_in_context.<locals>.run_in_context() done, defined at /Users/alexandrecesarricardo/classiq-library-new/classiq-library/venv/lib/python3.11/site-packages/ipykernel/utils.py:57> wait_for=<Task pending name='Task-7' coro=<Kernel.shell_main() running at /Users/alexandrecesarricardo/classiq-library-new/classiq-library/venv/lib/python3.11/site-packages/ipykernel/kernelbase.py:597> cb=[Task.__wakeup()]> cb=[ZMQStream._run_callback.<locals>._log_error() at /Users/alexandrecesarricardo/classiq-library-new/classiq-library/venv/lib/python3.11/site-packages/zmq/eventloop/zmqstream.py:563]>
  /Users/alexandrecesarricardo/classiq-library-new/classiq-library/venv/lib/python3.11/site-packages/httpx/_models.py:248: RuntimeWarning: coroutine 'Kernel.shell_main' was never awaited
    return self[key]
  Task was destroyed but it is pending!
  task: <Task pending name='Task-7' coro=<Kernel.shell_main() running at /Users/alexandrecesarricardo/classiq-library-new/classiq-library/venv/lib/python3.11/site-packages/ipykernel/kernelbase.py:597> cb=[Task.__wakeup()]>
  Job: https://platform.classiq.io/jobs/661cbfd1-2f91-4173-b010-0c55453245d5
  

Output:

a  b  res  counts  probability      bitstring
  0  4  5    5    2048          1.0  0010110100100
  

Example 2: Integer and Quantum Variable

This example generates a quantum program that performs a bitwise ‘or’ between a quantum variable and an integer. The left arg is an integer equal to three and the right arg is an unsigned quantum variable with three qubits.

@qfunc
def main(a: Output[QNum], res: Output[QNum]) -> None:
    a |= 4
    res |= 3 | a

qprog = synthesize(main)

result = sample(qprog)
result

Output:

Submitting job to simulator
  Job: https://platform.classiq.io/jobs/207d37b8-c0be-406f-920c-1b2391ed4c17
  

	a	res	counts	probability	bitstring
0	4	7	2048	1.0	111100

Algorithms

Applications

Tutorials

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Examples

Example 1: Two Quantum Variables

Example 2: Integer and Quantum Variable