Directional correlations in quantum walks with two particles

M. Štefaňák, S M Barnett, B Kollár, T Kiss, I Jex

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Abstract

Quantum walks on a line with a single particle possess a classical analogue. Involving more walkers opens up the possibility of studying collective quantum effects, such as many-particle correlations. In this context, entangled initial states and the indistinguishability of the particles play a role. We consider the directional correlations between two particles performing a quantum walk on a line. For non-interacting particles, we find analytic asymptotic expressions and give the limits of directional correlations. We show that by introducing delta-interaction between the particles, one can exceed the limits for non-interacting particles.

Original languageEnglish
Article number033029
Number of pages19
JournalNew Journal of Physics
Volume13
DOIs
Publication statusPublished - 21 Mar 2011

Keywords

  • algorithms
  • search
  • computational physics
  • quantum information

Cite this

Štefaňák, M., Barnett, S. M., Kollár, B., Kiss, T., & Jex, I. (2011). Directional correlations in quantum walks with two particles. New Journal of Physics, 13, [033029]. https://doi.org/10.1088/1367-2630/13/3/033029