Nonclassicality of Temporal Correlations
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...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Language: | English |
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2015
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| Online Access: | https://hdl.handle.net/10356/81184 http://hdl.handle.net/10220/39137 |
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| author | Brierley, Stephen Kosowski, Adrian Markiewicz, Marcin Paterek, Tomasz Przysiężna, Anna |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Brierley, Stephen Kosowski, Adrian Markiewicz, Marcin Paterek, Tomasz Przysiężna, Anna |
| author_sort | Brierley, Stephen |
| collection | NTU |
| description | 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. |
| first_indexed | 2024-10-01T03:49:33Z |
| format | Journal Article |
| id | ntu-10356/81184 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:49:33Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | ntu-10356/811842023-02-28T19:30:29Z Nonclassicality of Temporal Correlations Brierley, Stephen Kosowski, Adrian Markiewicz, Marcin Paterek, Tomasz Przysiężna, Anna School of Physical and Mathematical Sciences Physics & Applied Physics 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. NRF (Natl Research Foundation, S’pore) MOE (Min. of Education, S’pore) Published version 2015-12-17T07:37:44Z 2019-12-06T14:23:09Z 2015-12-17T07:37:44Z 2019-12-06T14:23:09Z 2015 Journal Article Brierley, S., Kosowski, A., Markiewicz, M., Paterek, T., & Przysiężna, A. (2015). Nonclassicality of Temporal Correlations. Physical Review Letters, 115, 120404-. 0031-9007 https://hdl.handle.net/10356/81184 http://hdl.handle.net/10220/39137 10.1103/PhysRevLett.115.120404 en Physical Review Letters © 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: [http://dx.doi.org/10.1103/PhysRevLett.115.120404]. 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. 5 p. application/pdf |
| spellingShingle | Physics & Applied Physics Brierley, Stephen Kosowski, Adrian Markiewicz, Marcin Paterek, Tomasz Przysiężna, Anna Nonclassicality of Temporal Correlations |
| title | Nonclassicality of Temporal Correlations |
| title_full | Nonclassicality of Temporal Correlations |
| title_fullStr | Nonclassicality of Temporal Correlations |
| title_full_unstemmed | Nonclassicality of Temporal Correlations |
| title_short | Nonclassicality of Temporal Correlations |
| title_sort | nonclassicality of temporal correlations |
| topic | Physics & Applied Physics |
| url | https://hdl.handle.net/10356/81184 http://hdl.handle.net/10220/39137 |
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