Decoherence versus entanglement in coined quantum walks

Maloyer, Olivier and Kendon, Viv (2007) Decoherence versus entanglement in coined quantum walks. New Journal of Physics, 9. 87. ISSN 1367-2630 (https://doi.org/10.1088/1367-2630/9/4/087)

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Abstract

Quantum versions of random walks on the line and cycle show a quadratic improvement in their spreading rate and mixing times respectively. The addition of decoherence to the quantum walk produces a more uniform distribution on the line, and even faster mixing on the cycle by removing the need for time-averaging to obtain a uniform distribution. We calculate numerically the entanglement between the coin and the position of the quantum walker and show that the optimal decoherence rates are such that all the entanglement is just removed by the time the final measurement is made.

  • Item type:Article
    ID code:78877
    Dates:
    Date
    Event
    30 April 2007
    Published
    2 January 2007
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:10 Dec 2021 12:01
    Last modified:09 Apr 2024 02:54
    URI:https://strathprints.strath.ac.uk/id/eprint/78877
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