Goyal, S. K. and Konrad, T. and Diósi, Lajos (2015) Unitary equivalence of quantum walks. PHYSICS LETTERS A, 379 (3). pp. 100-104. ISSN 0375-9601
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Official URL: https://doi.org/10.1016/j.physleta.2014.11.001
Abstract
A simple coined quantum walk in one dimension can be characterized by a SU (2) operator with three parameters which represents the coin toss. However, different such coin toss operators lead to equivalent dynamics of the quantum walker. In this manuscript we present the unitary equivalence classes of quantum walks and show that all the nonequivalent quantum walks can be distinguished by a single parameter. Moreover, we argue that the electric quantum walks are equivalent to quantum walks with time dependent coin toss operator.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QC Physics / fizika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 10 Oct 2023 14:54 |
| Last Modified: | 10 Oct 2023 14:54 |
| URI: | http://real.mtak.hu/id/eprint/176455 |
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