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Quantum Computing logic gates for XOR, AND, NAND, OR using Qiskit.
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from qiskit import qiskit, QuantumCircuit | |
def execute(func): | |
print('0 0: {}'.format(func(0, 0))) | |
print('0 1: {}'.format(func(0, 1))) | |
print('1 0: {}'.format(func(1, 0))) | |
print('1 1: {}'.format(func(1, 1))) | |
def xor(a, b): | |
""" | |
XOR gate | |
https://quantum-computing.ibm.com/composer/files/new?initial=N4IgdghgtgpiBcIAaB5ASiANCAjhAzlAiCgAoCiAcgIoCCAygLIAEATAHQAMA3ADpgBLMAGMANgFcAJjGa9cMUQIBGARnZDhcvmH44ATjADmzHAG0AzAF1twg8eEXr-fgA8Tpzk7BuzKr0og9PQEYPXdPbQCgkLDfL2EfD0tMM1Z4xL8U0zTIwODQ9xz%2BWAJxA0LLZgBaAD5mBxysEGl8WwEABwAXAQB7MGIQAF8gA | |
""" | |
qc = QuantumCircuit(3, 1) | |
# Set up the registers | |
if a: | |
qc.x(0) | |
if b: | |
qc.x(1) | |
qc.barrier() | |
# XOR | |
qc.cx(0, 2) | |
qc.cx(1, 2) | |
qc.barrier() | |
# Measure | |
qc.measure(2, 0) | |
#print('Depth: {}'.format(qc.depth())) | |
job = qiskit.execute(qc, qiskit.BasicAer.get_backend('qasm_simulator')) | |
return job.result().get_counts() | |
def and_gate(a, b): | |
""" | |
AND gate | |
https://quantum-computing.ibm.com/composer/files/new?initial=N4IgdghgtgpiBcICCA5AIiANCAjhAzlAiAPIAKAoigIpIDKAsgAQBMAdAAwDcAOmAJZgAxgBsArgBMYTHrhgj%2BAIwCMbQUNm8wfHACcYAcyY4A2gGYAulqH6jQ81b58AHsZMdHYRRF27%2BMXTcPLVdTZU9vX39AsM8hIVD3C0xYlJMWCJ8-AKDMqJzYrUjsmPTPWAIxfTcMpgBaAD4mewyuLBApfBt%2BAAcAF34AezBiEABfIA | |
""" | |
qc = QuantumCircuit(3, 1) | |
# Set up the registers | |
if a: | |
qc.x(0) | |
if b: | |
qc.x(1) | |
qc.barrier() | |
# AND | |
qc.ccx(0, 1, 2) | |
qc.barrier() | |
# Measure | |
qc.measure(2, 0) | |
#print('Depth: {}'.format(qc.depth())) | |
job = qiskit.execute(qc, qiskit.BasicAer.get_backend('qasm_simulator')) | |
return job.result().get_counts() | |
def nand(a, b): | |
""" | |
NAND gate | |
https://quantum-computing.ibm.com/composer/files/new?initial=N4IgdghgtgpiBcIByBBJAREAaEBHCAzlAiAPIAKAokgIooDKAsgAQBMAdAAwDcAOmAEswAYwA2AVwAmMZrzwxRAgEYBGdkOFy%2BYfrgBOMAObNcAbQDMAXW3CDx4Rev9%2BADxOnOTsEoh69AmD13T203MxUvHz8AoPCvYWEwj0ssONTTVi8kzO1YQnEDd0zmAFoAPmYHHOwQaQJbAQAHABcBAHswEhAAXyA | |
""" | |
qc = QuantumCircuit(3, 1) | |
# Set up the registers | |
if a: | |
qc.x(0) | |
if b: | |
qc.x(1) | |
qc.barrier() | |
# NAND | |
qc.ccx(0, 1, 2) | |
qc.x(2) | |
qc.barrier() | |
# Measure | |
qc.measure(2, 0) | |
job = qiskit.execute(qc, qiskit.BasicAer.get_backend('qasm_simulator')) | |
return job.result().get_counts() | |
def or_gate(a, b): | |
""" | |
OR gate | |
https://quantum-computing.ibm.com/composer/files/new?initial=N4IgdghgtgpiBcIDyAlEAaEBHCBnKCyACgKIByAigIIDKAsgAQBMAdAAwDcAOmAJZgBjADYBXACYwGXbDCG8ARgEYW-AdO5geWAE4wA5gywBtAMwBdDQN0GBpizx4APQ0bb2w8iNu28Y2l24azsaK7p7evv4h7gLBrmboxkwxcaGJRsmWsQEJ0emZPLB4IrouyQwAtAB8DLaZGCASuFa8AA4ALrwA9mCEIAC%2BQA | |
""" | |
qc = QuantumCircuit(3, 1) | |
# Set up the registers | |
if a: | |
qc.x(0) | |
if b: | |
qc.x(1) | |
qc.barrier() | |
# OR | |
# If the first bit is 1, flip the result bit to 1. Otherwise, leave it as 0. | |
qc.cx(0, 2) | |
# If the second bit is 1, flip the result bit again (to 0 if the first is 1, or 1 if the first is 0). Otherwise, leave it as-is. | |
qc.cx(1, 2) | |
# If both bits are 1, flip the result bit one more time. | |
qc.ccx(0, 1, 2) | |
qc.barrier() | |
# Measure | |
qc.measure(2, 0) | |
job = qiskit.execute(qc, qiskit.BasicAer.get_backend('qasm_simulator')) | |
return job.result().get_counts() |
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print('XOR') | |
execute(xor) | |
print('AND') | |
execute(and_gate) | |
print('NAND') | |
execute(nand) | |
print('OR') | |
execute(or_gate) |
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XOR | |
0 0: {'0': 1024} | |
0 1: {'1': 1024} | |
1 0: {'1': 1024} | |
1 1: {'0': 1024} | |
AND | |
0 0: {'0': 1024} | |
0 1: {'0': 1024} | |
1 0: {'0': 1024} | |
1 1: {'1': 1024} | |
NAND | |
0 0: {'1': 1024} | |
0 1: {'1': 1024} | |
1 0: {'1': 1024} | |
1 1: {'0': 1024} | |
OR | |
0 0: {'0': 1024} | |
0 1: {'1': 1024} | |
1 0: {'1': 1024} | |
1 1: {'1': 1024} |
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