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arXiv · 1112.1287

Trapping a particle of a quantum walk on the line

Antoni Wojcik·Tomasz Luczak·Pawel Kurzynski·Andrzej Grudka·Tomasz Gdala·Malgorzata Bednarska-Bzdega
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Abstract

We observe that changing a phase at a single point in a discrete quantum walk results in a rather surprising localization effect. For certain values of this phase change the possibility of localization strongly depends on the internal coin-state of the walker.

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Antoni Wojcik, Tomasz Luczak, Pawel Kurzynski, Andrzej Grudka, Tomasz Gdala, Malgorzata Bednarska-Bzdega. 2011-12-06. Trapping a particle of a quantum walk on the line. https://doi.org/10.1103/physreva.85.012329

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