Strongly trapped two-dimensional quantum walks

B. Kollár, T. Kiss, I. Jex

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Discrete time quantum walks (DTQWs) are nontrivial generalizations of random walks with a broad scope of applications. In particular, they can be used as computational primitives, and they are suitable tools for simulating other quantum systems. DTQWs usually spread ballistically due to their quantumness. In some cases, however, they can remain localized at their initial state (trapping). The trapping and other fundamental properties of DTQWs are determined by the choice of the coin operator. We introduce and analyze a type of walks driven by a coin class leading to strong trapping, complementing the known list of walks. This class of walks exhibits a number of exciting properties with possible applications ranging from light pulse trapping in a medium to topological effects and quantum search.

Original languageEnglish
Article number022308
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume91
Issue number2
DOIs
Publication statusPublished - Feb 11 2015

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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