{ "id": "2002.01905", "version": "v1", "published": "2020-02-05T18:15:36.000Z", "updated": "2020-02-05T18:15:36.000Z", "title": "Implementation of Quantum Walks on IBM Quantum Computers", "authors": [ "F. Acasiete", "F. P. Agostini", "J. Khatibi Moqadam", "R. Portugal" ], "categories": [ "quant-ph" ], "abstract": "The development of universal quantum computers has achieved a remarkable success in recent years, culminating with the quantum supremacy reported by Google. Now is possible to implement short-depth quantum circuits with dozens of qubits and to obtain results with significant fidelity. Quantum walks are good candidates to be implemented on the available quantum computers. In this work, we implement discrete-time quantum walks with one and two interacting walkers on the cycle and the two-dimensional lattice on IBM quantum computers. We are able to obtain meaningful results using cycles and two-dimensional lattices with 16 nodes, which require 4-qubit quantum circuits up to depth 100.", "revisions": [ { "version": "v1", "updated": "2020-02-05T18:15:36.000Z" } ], "analyses": { "keywords": [ "ibm quantum computers", "two-dimensional lattice", "implement discrete-time quantum walks", "implementation", "implement short-depth quantum circuits" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }