Physical realization of topological quantum walks on IBM-Q and beyond

作     者：Balu, Radhakrishnan Castillo, Daniel Siopsis, George 

作者机构：Computer and Information Sciences Directorate Army Research Laboratory AdelphiMD21005-5069 Computer Science and Electrical Engineering University of Maryland Baltimore County 1000 Hilltop Circle BaltimoreMD21250 United States Department of Physics and Astronomy University of Tennessee KnoxvilleTN37996-1200 United States 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2017年

核心收录：

主　　题：Logic gates 

摘      要：We discuss an efficient physical realization of topological quantum walks on a finite lattice. The N-point lattice is realized with log2N qubits, and the quantum circuit utilizes a number of quantum gates which is polynomial in the number of qubits. In a certain scaling limit, we show that a large number of steps is implemented with a number of quantum gates which is independent of the number of steps. We ran the quantum algorithm on the IBM-Q five-qubit quantum computer, thus experimentally demonstrating topological features, such as boundary bound states, on a lattice with N = 4 points. Copyright © 2017, The Authors. All rights reserved.