Implementation of a quantum walk in a cycle of four nodes using an alternative method based on the Swap gate
Dagoberto S. Freitas, Aisis Rodrigues Barbosa · Sitientibus Série Ciências Físicas · 2023
This work has the objective of implementing quantum random walks in a graph with 4 nodes represented by a circle. It was observed that during the implementation of a discrete-time quantum walk, based on Hadamard's coin, the simulated results diverge from the theoretically expected results. In order to correct the discrepancies between the processed and theoretically expected results we use an alternative method based on the Swap port. To perform the simulation of the algorithms, the Qiskit framework and a real processor provided by IBM through remote access was used. The simulations performed in the real processor showed small fluctuations, however the quantum states were obtained with satisfactory probabilities.