An algorithm to factorize quantum walks into shift and coin operations

authored by

C. Cedzich, T. Geib, R. F. Werner

Abstract

We provide an algorithm that factorizes one-dimensional quantum walks on an arbitrary but fixed cell structure into a protocol of two basic operations: a fixed conditional shift that transports particles between cells and suitable coin operators that act locally in each cell. This allows to tailor quantum walk protocols to any experimental set-up by rephrasing it on the cell structure determined by the experimental limitations. We give the example of a walk defined on a qutrit chain compiled to run on a qubit chain.

Organisation(s)

Institute of Theoretical Physics
CRC 1227 Designed Quantum States of Matter (DQ-mat)

External Organisation(s)

Heinrich-Heine-Universität Düsseldorf

Type

Article

Journal

Letters in mathematical physics

Volume

112

No. of pages

12

ISSN

0377-9017

Publication date

10.2022

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics, Mathematical Physics

Electronic version(s)

https://doi.org/10.48550/arXiv.2102.12951 (Access: Open)
https://doi.org/10.1007/s11005-022-01578-3 (Access: Open)