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Temporal quantum correlations and Leggett-Garg inequalities in multilevel systems

Budroni, Costantino; Emary, Clive

Authors

Costantino Budroni

Clive Emary



Abstract

We show that the quantum bound for temporal correlations in a Leggett-Garg test, analogous to the Tsirelson bound for spatial correlations in a Bell test, strongly depends on the number of levels N that can be accessed by the measurement apparatus via projective measurements. We provide exact bounds for small N that exceed the known bound for the Leggett-Garg inequality, and we show that in the limit N → ∞ the Leggett-Garg inequality can be violated up to its algebraic maximum.

Journal Article Type Article
Publication Date Jul 29, 2014
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 113
Issue 5
Article Number 050401
APA6 Citation Budroni, C., & Emary, C. (2014). Temporal quantum correlations and Leggett-Garg inequalities in multilevel systems. Physical review letters, 113(5), doi:10.1103/PhysRevLett.113.050401
DOI https://doi.org/10.1103/PhysRevLett.113.050401
Publisher URL https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.113.050401


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