Physical realization of topological quantum walks on IBM-Q and beyond. (11th April 2018)

• Record Type: Journal Article
• Authors: Balu, Radhakrishnan; Castillo, Daniel; Siopsis, George
• Is Part Of: Quantum science and technology. Volume 3:Number 3(2018)
• Publication Date: 2018-04-11
• Subjects: topological quantum walks -- quantum circuit -- quantum computer; Quantum theory -- Periodicals; Quantum theory; Periodicals; 530
• DOI: 10.1088/2058-9565/aab823
• Languages: English
• ISSNs: 2058-9565

Abstract

Abstract: We discuss an efficient physical realization of topological quantum walks on a one-dimensional finite lattice with periodic boundary conditions (circle). The N -point lattice is realized with log 2 N qubits, and the quantum circuit utilizes a number of quantum gates that are polynomial in the number of qubits. In a certain scaling limit, we show that a large number of steps are implemented with a number of quantum gates which are 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 one-dimensional lattice with N = 4 points.