Two-dimensional quantum walk with position-dependent phase defects

Two-dimensional quantum walk with position-dependent phase defects We demonstrate localization effect in a two-dimensional quantum walk architecture. With position-dependent phase defects, the symmetry of standard quantum walk is broken; the walker is trapped in a fixed position dynamically. We show how the factors such as the phase defect, initial state and coin flipping affect on the localization effect in the quantum walk architecture. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Two-dimensional quantum walk with position-dependent phase defects

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Publisher
Springer US
Copyright
Copyright © 2014 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-014-0775-1
Publisher site
See Article on Publisher Site

Abstract

We demonstrate localization effect in a two-dimensional quantum walk architecture. With position-dependent phase defects, the symmetry of standard quantum walk is broken; the walker is trapped in a fixed position dynamically. We show how the factors such as the phase defect, initial state and coin flipping affect on the localization effect in the quantum walk architecture.

Journal

Quantum Information ProcessingSpringer Journals

Published: Jun 21, 2014

References

  • One-dimensional quantum walks with single-point phase defects
    Zhang, R; Xue, P; Twamley, J
  • Quantum walks of correlated photons
    Peruzzo, A; Lobino, M; Matthews, JCF; Matsuda, N; Politi, A; Poulios, K; Zhou, X; Lahini, Y; Ismail, N; Worhoff, K; Bromberg, Y; Silberberg, Y; Thompson, MG; O’Brien, JL
  • A 2D quantum walk simulation of two-particle dynamics
    Schreiber, A; Gábris, A; Rohde, PP; Laiho, K; S̆tefan̆ák, M; Potoc̆ek, V; Hamilton, C; Jex, I; Silberhorn, C
  • Localization of an inhomogeneous discrete-time quantum walk on the line
    Konno, N

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