Homotopical approach to quantum contextuality-Reference-Cited by-同舟云学术

Homotopical approach to quantum contextuality

Published:2020-01-05 Issue: Volume:4 Page:217
ISSN:2521-327X
Container-title:Quantum
language:en
Short-container-title:Quantum

Author:

Okay Cihan¹²^ORCID,Raussendorf Robert¹²^ORCID

Affiliation:

1. Department of Physics and Astronomy, University of British Columbia, Vancouver, BC, Canada

2. Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, BC, Canada

Abstract

We consider the phenomenon of quantum mechanical contextuality, and specifically parity-based proofs thereof. Mermin’s square and star are representative examples. Part of the information invoked in such contextuality proofs is the commutativity structure among the pertaining observables. We investigate to which extent this commutativity structure alone determines the viability of a parity-based contextuality proof. We establish a topological criterion for this, generalizing an earlier result by Arkhipov.

Publisher

Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften

Subject

Physics and Astronomy (miscellaneous),Atomic and Molecular Physics, and Optics

Link

https://quantum-journal.org/papers/q-2020-01-05-217/pdf/

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