How to implement √iSWAP in Qiskit

[quantumadmin]

The √iSWAP gate is a two-qubit gate that performs a rotation between two qubits while also swapping their states with a phase factor of i. This gate is important in quantum information processing and quantum computing. To implement the √iSWAP gate in Qiskit, you can use a combination of elementary quantum gates.

Here's how you can implement the √iSWAP gate in Qiskit:

Code: Select all

from qiskit import QuantumCircuit, Aer, execute
import numpy as np

# Define the √iSWAP gate matrix
sqrt_iSWAP_matrix = np.array([[1, 0, 0, 0],
                              [0, 1/np.sqrt(2), 1j/np.sqrt(2), 0],
                              [0, 1j/np.sqrt(2), 1/np.sqrt(2), 0],
                              [0, 0, 0, 1]])

# Create a 2-qubit quantum circuit
qc = QuantumCircuit(2)

# Apply the √iSWAP gate using a custom unitary gate
qc.unitary(sqrt_iSWAP_matrix, [0, 1], label='sqrt_iSWAP')

# Simulate the circuit
simulator = Aer.get_backend('unitary_simulator')
job = execute(qc, simulator)
result = job.result()
unitary = result.get_unitary()

print("Unitary matrix of the √iSWAP gate:")
print(unitary)

In this example, we first define the matrix representation of the √iSWAP gate using the sqrt_iSWAP_matrix. We then create a 2-qubit quantum circuit and use the unitary method of the circuit to apply the √iSWAP gate using the custom unitary matrix. The gate is applied to qubits 0 and 1.