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Emergence of randomness and arrow of time in quantum walks

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Author(s)
Shikano, Yutaka
•
Chisaki, Kota
•
Segawa, Etsuo
•
Konno, Norio
Date Issued
June 2010
Journal
Physical Review A
Publisher
American Physical Society
Citation
Shikano, Yutaka et al. "Emergence of randomness and arrow of time in quantum walks." Physical Review A 81.6 (2010): 062129. © 2010 The American Physical Society
Version
Final published version
Abstract
Quantum walks are powerful tools not only for constructing the quantum speedup algorithms but also for describing specific models in physical processes. Furthermore, the discrete time quantum walk has been experimentally realized in various setups. We apply the concept of the quantum walk to the problems in quantum foundations. We show that randomness and the arrow of time in the quantum walk gradually emerge by periodic projective measurements from the mathematically obtained limit distribution under the time-scale transformation.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/60696
DOI of Published Version
https://doi.org/10.1103/PhysRevA.81.062129
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