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Maximum violations of the quantum-witness equality

Schild, Greg; Emary, Clive

Authors

Greg Schild

Clive Emary



Abstract

We consider the quantum-witness test of macroscopic realism and derive an upper bound for possible violations of this equality due to quantum mechanics. The bound depends only on the number of possible outcomes for the blind measurement at the heart of the witness protocol. Mirroring recent results for the related Leggett-Garg inequality, we show that quantum mechanics can saturate the algebraic bound for large systems. We also establish a connection between the quantum witness and the trace distance between density matrices and discuss how the quantum witness can be used to obtain a bound on the Hilbert-space dimension of the system under study.

Citation

Schild, G., & Emary, C. (2015). Maximum violations of the quantum-witness equality. Physical review. A, 92(3), 1-6. https://doi.org/10.1103/PhysRevA.92.032101

Acceptance Date Jul 19, 2015
Online Publication Date Sep 3, 2015
Publication Date Sep 3, 2015
Deposit Date Oct 15, 2015
Publicly Available Date Mar 29, 2024
Journal Physical review A
Print ISSN 1050-2947
Electronic ISSN 1094-1622
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 92
Issue 3
Article Number ARTN 032101
Pages 1-6
DOI https://doi.org/10.1103/PhysRevA.92.032101
Keywords Quantum-witness equality
Public URL https://hull-repository.worktribe.com/output/379765
Publisher URL http://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.032101
Additional Information Authors' accepted manuscript of article published in: Physical review A, v.92, issue 3

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