Discrete-time quantum walk with phase disorder: localization and entanglement entropy

Quantum Walk (QW) has very different transport properties to its classical counterpart due to interference effects. Here we study the discrete-time quantum walk (DTQW) with on-site static/dynamic phase disorder following either binary or uniform distribution in both one and two dimensions. For one d...

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Main Authors: Zeng, Meng, Yong, Ee Hou
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2018
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Online Access:https://hdl.handle.net/10356/87952
http://hdl.handle.net/10220/45556
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-879522023-02-28T19:28:21Z Discrete-time quantum walk with phase disorder: localization and entanglement entropy Zeng, Meng Yong, Ee Hou School of Physical and Mathematical Sciences Quantum Walker Coin-position Quantum Walk (QW) has very different transport properties to its classical counterpart due to interference effects. Here we study the discrete-time quantum walk (DTQW) with on-site static/dynamic phase disorder following either binary or uniform distribution in both one and two dimensions. For one dimension, we consider the Hadamard coin; for two dimensions, we consider either a 2-level Hadamard coin (Hadamard walk) or a 4-level Grover coin (Grover walk) for the rotation in coin-space. We study the transport properties e.g. inverse participation ratio (IPR) and the standard deviation of the density function (σ) as well as the coin-position entanglement entropy (EE), due to the two types of phase disorders and the two types of coins. Our numerical simulations show that the dimensionality, the type of coins, and whether the disorder is static or dynamic play a pivotal role and lead to interesting behaviors of the DTQW. The distribution of the phase disorder has very minor effects on the quantum walk. Published version 2018-08-13T06:41:00Z 2019-12-06T16:52:49Z 2018-08-13T06:41:00Z 2019-12-06T16:52:49Z 2017 Journal Article Zeng, M., & Yong, E. H. (2017). Discrete-Time Quantum Walk with Phase Disorder: Localization and Entanglement Entropy. Scientific Reports, 7(1), 12024-. 2045-2322 https://hdl.handle.net/10356/87952 http://hdl.handle.net/10220/45556 10.1038/s41598-017-12077-0 en Scientific Reports © 2017 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. 9 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Quantum Walker
Coin-position
spellingShingle Quantum Walker
Coin-position
Zeng, Meng
Yong, Ee Hou
Discrete-time quantum walk with phase disorder: localization and entanglement entropy
description Quantum Walk (QW) has very different transport properties to its classical counterpart due to interference effects. Here we study the discrete-time quantum walk (DTQW) with on-site static/dynamic phase disorder following either binary or uniform distribution in both one and two dimensions. For one dimension, we consider the Hadamard coin; for two dimensions, we consider either a 2-level Hadamard coin (Hadamard walk) or a 4-level Grover coin (Grover walk) for the rotation in coin-space. We study the transport properties e.g. inverse participation ratio (IPR) and the standard deviation of the density function (σ) as well as the coin-position entanglement entropy (EE), due to the two types of phase disorders and the two types of coins. Our numerical simulations show that the dimensionality, the type of coins, and whether the disorder is static or dynamic play a pivotal role and lead to interesting behaviors of the DTQW. The distribution of the phase disorder has very minor effects on the quantum walk.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Zeng, Meng
Yong, Ee Hou
format Article
author Zeng, Meng
Yong, Ee Hou
author_sort Zeng, Meng
title Discrete-time quantum walk with phase disorder: localization and entanglement entropy
title_short Discrete-time quantum walk with phase disorder: localization and entanglement entropy
title_full Discrete-time quantum walk with phase disorder: localization and entanglement entropy
title_fullStr Discrete-time quantum walk with phase disorder: localization and entanglement entropy
title_full_unstemmed Discrete-time quantum walk with phase disorder: localization and entanglement entropy
title_sort discrete-time quantum walk with phase disorder: localization and entanglement entropy
publishDate 2018
url https://hdl.handle.net/10356/87952
http://hdl.handle.net/10220/45556
_version_ 1759854683899297792