Literature DB >> 18764163

Negativity and contextuality are equivalent notions of nonclassicality.

Robert W Spekkens1.   

Abstract

Two notions of nonclassicality that have been investigated intensively are: (i) negativity, that is, the need to posit negative values when representing quantum states by quasiprobability distributions such as the Wigner representation, and (ii) contextuality, that is, the impossibility of a noncontextual hidden variable model of quantum theory. Although both of these notions were meant to characterize the conditions under which a classical explanation cannot be provided, we demonstrate that they prove inadequate to the task and we argue for a particular way of generalizing and revising them. With the refined version of each in hand, it becomes apparent that they are in fact one and the same. We also demonstrate the impossibility of noncontextuality or non-negativity in quantum theory with a novel proof that is symmetric in its treatment of measurements and preparations.

Year:  2008        PMID: 18764163     DOI: 10.1103/PhysRevLett.101.020401

Source DB:  PubMed          Journal:  Phys Rev Lett        ISSN: 0031-9007            Impact factor:   9.161


  4 in total

1.  An experimental test of noncontextuality without unphysical idealizations.

Authors:  Michael D Mazurek; Matthew F Pusey; Ravi Kunjwal; Kevin J Resch; Robert W Spekkens
Journal:  Nat Commun       Date:  2016-06-13       Impact factor: 14.919

2.  Quantum advantage in postselected metrology.

Authors:  David R M Arvidsson-Shukur; Nicole Yunger Halpern; Hugo V Lepage; Aleksander A Lasek; Crispin H W Barnes; Seth Lloyd
Journal:  Nat Commun       Date:  2020-07-29       Impact factor: 14.919

3.  Indistinguishability and Negative Probabilities.

Authors:  J Acacio de Barros; Federico Holik
Journal:  Entropy (Basel)       Date:  2020-07-29       Impact factor: 2.524

4.  A Classical Formulation of Quantum Theory?

Authors:  William F Braasch; William K Wootters
Journal:  Entropy (Basel)       Date:  2022-01-17       Impact factor: 2.524

  4 in total

北京卡尤迪生物科技股份有限公司 © 2022-2023.