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Title: Nonclassicality of Temporal Correlations
Authors: Brierley, Stephen
Kosowski, Adrian
Markiewicz, Marcin
Paterek, Tomasz
Przysiężna, Anna
Keywords: Physics & Applied Physics
Issue Date: 2015
Source: Brierley, S., Kosowski, A., Markiewicz, M., Paterek, T., & Przysiężna, A. (2015). Nonclassicality of Temporal Correlations. Physical Review Letters, 115, 120404-.
Series/Report no.: Physical Review Letters
Abstract: The results of spacelike separated measurements are independent of distant measurement settings, a property one might call two-way no-signaling. In contrast, timelike separated measurements are only one-way no-signaling since the past is independent of the future but not vice versa. For this reason some temporal correlations that are formally identical to nonclassical spatial correlations can still be modeled classically. We propose a new formulation of Bell’s theorem for temporal correlations; namely, we define nonclassical temporal correlations as the ones which cannot be simulated by propagating in time the classical information content of a quantum system given by the Holevo bound. We first show that temporal correlations between results of any projective quantum measurements on a qubit can be simulated classically. Then we present a sequence of general measurements on a single m-level quantum system that cannot be explained by propagating in time an m-level classical system and using classical computers with unlimited memory.
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.115.120404
Schools: School of Physical and Mathematical Sciences 
Rights: © 2015 American Physical Society. This paper was published in Physical Review Letters and is made available as an electronic reprint (preprint) with permission of American Physical Society. The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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