Temporal quantum correlations and Leggett-Garg inequalities in multilevel systems

Budroni, Costantino; Emary, Clive

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.

Citation

Budroni, C., & Emary, C. (2014). Temporal quantum correlations and Leggett-Garg inequalities in multilevel systems. Physical review letters, 113(5), Article 050401. https://doi.org/10.1103/PhysRevLett.113.050401

• Journal Article Type: Article
• Acceptance Date: Sep 14, 2013
• Online Publication Date: Jul 29, 2014
• Publication Date: Jul 29, 2014
• Deposit Date: Jun 28, 2018
• 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
• DOI: https://doi.org/10.1103/PhysRevLett.113.050401
• Public URL: https://hull-repository.worktribe.com/output/898483
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.113.050401