Local probability conservation in discrete-time quantum walks

Samuel T Mister, Benjamin J Arayathel, Anthony J Short

Research output: Contribution to journalArticle (Academic Journal)peer-review

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Abstract

We show that probability is locally conserved in discrete-time quantum walks, corresponding to a particle evolving in discrete space and time. In particular, for a spatial structure represented by an arbitrary directed graph, and any unitary evolution of a particle which respects that locality structure, we can define probability currents which also respect the locality structure and which yield the correct final probability distribution.
Original languageEnglish
Article number042220
Number of pages8
JournalPhysical Review A
Volume103
Issue number4
DOIs
Publication statusPublished - 27 Apr 2021

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© 2021 American Physical Society.

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