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      Enhanced non-Markovian behavior in quantum walks with Markovian disorder

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          Abstract

          Non-Markovian quantum effects are typically observed in systems interacting with structured reservoirs. Discrete-time quantum walks are prime example of such systems in which, quantum memory arises due to the controlled interaction between the coin and position degrees of freedom. Here we show that the information backflow that quantifies memory effects can be enhanced when the particle is subjected to uncorrelated static or dynamic disorder. The presence of disorder in the system leads to localization effects in 1-dimensional quantum walks. We shown that it is possible to infer about the nature of localization in position space by monitoring the information backflow in the reduced system. Further, we study other useful properties of quantum walk such as entanglement, interference and its connection to quantum non-Markovianity.

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          Quantum random walks

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            Quantum random walks - an introductory overview

            This article aims to provide an introductory survey on quantum random walks. Starting from a physical effect to illustrate the main ideas we will introduce quantum random walks, review some of their properties and outline their striking differences to classical walks. We will touch upon both physical effects and computer science applications, introducing some of the main concepts and language of present day quantum information science in this context. We will mention recent developments in this new area and outline some open questions.
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              Quantum mechanical computers

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                Author and article information

                Contributors
                chandru@imsc.res.in
                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group UK (London )
                2045-2322
                11 June 2018
                11 June 2018
                2018
                : 8
                : 8801
                Affiliations
                [1 ]ISNI 0000 0004 0504 909X, GRID grid.462414.1, The Institute of Mathematical Sciences, ; C. I. T campus, Taramani, Chennai, 600113 India
                [2 ]ISNI 0000 0004 1775 4538, GRID grid.462385.e, Indian Institute of Technology, ; Jodhpur, 342037 India
                [3 ]ISNI 0000 0004 1775 9822, GRID grid.450257.1, Homi Bhabha National Institute, ; Training School Complex, Anushakti Nagar, Mumbai, 400094 India
                Article
                27132
                10.1038/s41598-018-27132-7
                5995891
                29891872
                5c925f2f-e44e-4250-b4e9-f0d427ca379b
                © The Author(s) 2018

                Open Access 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/.

                History
                : 22 March 2018
                : 29 May 2018
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