Causal classification of spatiotemporal quantum correlations
From correlations in measurement outcomes alone, can two otherwise isolated parties establish whether such correlations are atemporal? That is, can they rule out that they have been given the same system at two different times? Classical statistics says no, yet quantum theory disagrees. Here, we int...
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sg-ntu-dr.10356-1813702024-11-27T02:08:43Z Causal classification of spatiotemporal quantum correlations Song, Minjeong Narasimhachar, Varun Regula, Bartosz Elliott, Thomas J. Gu, Mile School of Physical and Mathematical Sciences Institute of High Performance Computing, A*STAR Centre for Quantum Technologies, NUS MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit, UMI 3654 Physics Quantum correlations Spacetime From correlations in measurement outcomes alone, can two otherwise isolated parties establish whether such correlations are atemporal? That is, can they rule out that they have been given the same system at two different times? Classical statistics says no, yet quantum theory disagrees. Here, we introduce the necessary and sufficient conditions by which such quantum correlations can be identified as atemporal. We demonstrate the asymmetry of atemporality under time reversal and reveal it to be a measure of spatial quantum correlation distinct from entanglement. Our results indicate that certain quantum correlations possess an intrinsic arrow of time and enable classification of general quantum correlations across space-time based on their (in)compatibility with various underlying causal structures. Agency for Science, Technology and Research (A*STAR) National Research Foundation (NRF) This work is supported by the National Research Foundation, Singapore, and Agency for Science, Technology and Research (A*STAR) under its QEP2.0 programme (NRF2021-QEP2-02-P06) and its CQT Bridging Grant, the Singapore Ministry of Education Tier 1 Grants No. RG77/22 and No. RT4/23, the Singapore Ministry of Education Tier 2 Grant No. MOE-T2EP50221- 0005, Grant No. FQXi-RFP-1809 (“The Role of Quantum Effects in Simplifying Quantum Agents”) from the Foundational Questions Institute and Fetzer Franklin Fund (a donor-advised fund of Silicon Valley Community Foundation). T. J. E. is supported by the University of Manchester Dame Kathleen Ollerenshaw Fellowship. V. N. acknowledges support from the Lee Kuan Yew Endowment Fund (Postdoctoral Fellowship). 2024-11-27T02:08:43Z 2024-11-27T02:08:43Z 2024 Journal Article Song, M., Narasimhachar, V., Regula, B., Elliott, T. J. & Gu, M. (2024). Causal classification of spatiotemporal quantum correlations. Physical Review Letters, 133(11), 110202-. https://dx.doi.org/10.1103/PhysRevLett.133.110202 0031-9007 https://hdl.handle.net/10356/181370 10.1103/PhysRevLett.133.110202 39331987 2-s2.0-85204502083 11 133 110202 en NRF2021-QEP2-02-P06 RG77/22 RT4/23 MOE-T2EP50221-0005 Physical Review Letters © 2024 American Physical Society. All rights reserved. |
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Physics Quantum correlations Spacetime Song, Minjeong Narasimhachar, Varun Regula, Bartosz Elliott, Thomas J. Gu, Mile Causal classification of spatiotemporal quantum correlations |
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From correlations in measurement outcomes alone, can two otherwise isolated parties establish whether such correlations are atemporal? That is, can they rule out that they have been given the same system at two different times? Classical statistics says no, yet quantum theory disagrees. Here, we introduce the necessary and sufficient conditions by which such quantum correlations can be identified as atemporal. We demonstrate the asymmetry of atemporality under time reversal and reveal it to be a measure of spatial quantum correlation distinct from entanglement. Our results indicate that certain quantum correlations possess an intrinsic arrow of time and enable classification of general quantum correlations across space-time based on their (in)compatibility with various underlying causal structures. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Song, Minjeong Narasimhachar, Varun Regula, Bartosz Elliott, Thomas J. Gu, Mile |
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Article |
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Song, Minjeong Narasimhachar, Varun Regula, Bartosz Elliott, Thomas J. Gu, Mile |
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Song, Minjeong |
title |
Causal classification of spatiotemporal quantum correlations |
title_short |
Causal classification of spatiotemporal quantum correlations |
title_full |
Causal classification of spatiotemporal quantum correlations |
title_fullStr |
Causal classification of spatiotemporal quantum correlations |
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Causal classification of spatiotemporal quantum correlations |
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causal classification of spatiotemporal quantum correlations |
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2024 |
url |
https://hdl.handle.net/10356/181370 |
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1819113031412482048 |