iframe-proxy | Sunbelt Computer Software

History

102 lines (87 loc) · 3.3 KB

Raw

100

101

102

"""

Build the superdense coding protocol. This quantum

circuit can send two classical bits using one quantum

bit. This circuit is designed using the Qiskit

framework. This experiment run in IBM Q simulator

with 1000 shots.

References:

https://qiskit.org/textbook/ch-algorithms/superdense-coding.html

https://en.wikipedia.org/wiki/Superdense_coding

"""

import math

import qiskit

from qiskit import Aer, ClassicalRegister, QuantumCircuit, QuantumRegister, execute

def superdense_coding(bit_1: int = 1, bit_2: int = 1) -> qiskit.result.counts.Counts:

"""

The input refer to the classical message

that you wants to send. {'00','01','10','11'}

result for default values: {11: 1000}

┌───┐ ┌───┐

qr_0: ─────┤ X ├──────────┤ X ├─────

┌───┐└─┬─┘┌───┐┌───┐└─┬─┘┌───┐

qr_1: ┤ H ├──■──┤ X ├┤ Z ├──■──┤ H ├

└───┘ └───┘└───┘ └───┘

cr: 2/══════════════════════════════

Args:

bit_1: bit 1 of classical information to send.

bit_2: bit 2 of classical information to send.

Returns:

qiskit.result.counts.Counts: counts of send state.

>>> superdense_coding(0,0)

{'00': 1000}

>>> superdense_coding(0,1)

{'01': 1000}

>>> superdense_coding(-1,0)

Traceback (most recent call last):

...

ValueError: inputs must be positive.

>>> superdense_coding(1,'j')

Traceback (most recent call last):

...

TypeError: inputs must be integers.

>>> superdense_coding(1,0.5)

Traceback (most recent call last):

...

ValueError: inputs must be exact integers.

>>> superdense_coding(2,1)

Traceback (most recent call last):

...

ValueError: inputs must be less or equal to 1.

"""

if (type(bit_1) == str) or (type(bit_2) == str):

raise TypeError("inputs must be integers.")

if (bit_1 < 0) or (bit_2 < 0):

raise ValueError("inputs must be positive.")

if (math.floor(bit_1) != bit_1) or (math.floor(bit_2) != bit_2):

raise ValueError("inputs must be exact integers.")

if (bit_1 > 1) or (bit_2 > 1):

raise ValueError("inputs must be less or equal to 1.")

# build registers

qr = QuantumRegister(2, "qr")

cr = ClassicalRegister(2, "cr")

quantum_circuit = QuantumCircuit(qr, cr)

# entanglement the qubits

quantum_circuit.h(1)

quantum_circuit.cx(1, 0)

# send the information

c_information = str(bit_1) + str(bit_2)

if c_information == "11":

quantum_circuit.x(1)

quantum_circuit.z(1)

elif c_information == "10":

quantum_circuit.z(1)

elif c_information == "01":

quantum_circuit.x(1)

else:

quantum_circuit.i(1)

# unentangled the circuit

quantum_circuit.cx(1, 0)

quantum_circuit.h(1)

# measure the circuit

quantum_circuit.measure(qr, cr)

backend = Aer.get_backend("aer_simulator")

job = execute(quantum_circuit, backend, shots=1000)

return job.result().get_counts(quantum_circuit)

if __name__ == "__main__":

print(f"Counts for classical state send: {superdense_coding(1,1)}")

Sunbelt Computer Software

PL/B Language Development and Support

Navigation Menu

Sunbelt Computer Software

PL/B Language Development and Support

FilesExpand file tree

superdense_coding.py

Latest commit

History

superdense_coding.py

File metadata and controls