Pre- and post-selection paradoxes in quantum walks

Many features of single-partite quantum walks can be simulated by classical waves. However, it was recently experimentally shown that some temporal sequences of measurements on a quantum walker do not admit a classical description in terms of macro-realistic theories. Here, we extend this observatio...

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Bibliographic Details
Published in:New Journal of Physics
Main Authors: T Kopyciuk, M Lewandowski, P Kurzyński
Format: Article
Language:English
Published: IOP Publishing 2019-01-01
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ab4cf8
Description
Summary:Many features of single-partite quantum walks can be simulated by classical waves. However, it was recently experimentally shown that some temporal sequences of measurements on a quantum walker do not admit a classical description in terms of macro-realistic theories. Here, we extend this observation and present pre- and post-selection scenarios in quantum walks leading to logical paradoxes. Such paradoxes were recently shown to be equivalent to proofs of contextuality, therefore we provide an additional argument for non-classicality of a quantum walk model. The assumptions behind the claims of non-classicality (including contextuality and violations of macro-realism) are also discussed.
ISSN:1367-2630