Quantum coherence and the bell inequality violation: a numerical experiment with the cavity QEDs

Bell inequality violation has been widely tested by using the bipartite entangled pure states and properly encoding the local observables in various experimental platforms, and the detector-, local-, and random loopholes have already been closed. A natural question is, how to deliver the Bell inequa...

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Main Authors: Suirong He, Yufen Li, J. Q. Liang, L. F. Wei
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-02-01
Series:Frontiers in Physics
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Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2025.1541888/full
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author Suirong He
Yufen Li
J. Q. Liang
L. F. Wei
author_facet Suirong He
Yufen Li
J. Q. Liang
L. F. Wei
author_sort Suirong He
collection DOAJ
description Bell inequality violation has been widely tested by using the bipartite entangled pure states and properly encoding the local observables in various experimental platforms, and the detector-, local-, and random loopholes have already been closed. A natural question is, how to deliver the Bell inequality violation by properly encoding the local observables? Here, we show that the Bell inequality violation is directly related to the coherence degree, which is controllable by encoding the different local observables into the entangled state. With the usual space-like correlation detections, we show that the coherence degree can be measured and thus the Bell nonlocality can be tested. The feasibility of the proposal is demonstrated by a numerical experiment typically with the cavity quantum electrodynamic system, in which the coherence degrees of the locally encoded bipartite entangled state can be conveniently measured by the spectral detection of the driven cavity. The present work might provide a feasible approach to verify the Gisin theorem, i.e., Bell inequality can be violated for any bipartite entangled pure state, once the local observables are properly encoded into the entangled state for keeping the desirable coherence.
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spelling doaj-art-2688549f67bc48c5969ce2d48eb951f82025-08-20T02:45:52ZengFrontiers Media S.A.Frontiers in Physics2296-424X2025-02-011310.3389/fphy.2025.15418881541888Quantum coherence and the bell inequality violation: a numerical experiment with the cavity QEDsSuirong He0Yufen Li1J. Q. Liang2L. F. Wei3Information Quantum Technology Laboratory, International Cooperation Research Center of China Communication and Sensor Networks for Modern Transportation, School of Information Science and Technology, Southwest Jiaotong University, Chengdu, ChinaInformation Quantum Technology Laboratory, International Cooperation Research Center of China Communication and Sensor Networks for Modern Transportation, School of Information Science and Technology, Southwest Jiaotong University, Chengdu, ChinaState Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan, Shanxi, ChinaInformation Quantum Technology Laboratory, International Cooperation Research Center of China Communication and Sensor Networks for Modern Transportation, School of Information Science and Technology, Southwest Jiaotong University, Chengdu, ChinaBell inequality violation has been widely tested by using the bipartite entangled pure states and properly encoding the local observables in various experimental platforms, and the detector-, local-, and random loopholes have already been closed. A natural question is, how to deliver the Bell inequality violation by properly encoding the local observables? Here, we show that the Bell inequality violation is directly related to the coherence degree, which is controllable by encoding the different local observables into the entangled state. With the usual space-like correlation detections, we show that the coherence degree can be measured and thus the Bell nonlocality can be tested. The feasibility of the proposal is demonstrated by a numerical experiment typically with the cavity quantum electrodynamic system, in which the coherence degrees of the locally encoded bipartite entangled state can be conveniently measured by the spectral detection of the driven cavity. The present work might provide a feasible approach to verify the Gisin theorem, i.e., Bell inequality can be violated for any bipartite entangled pure state, once the local observables are properly encoded into the entangled state for keeping the desirable coherence.https://www.frontiersin.org/articles/10.3389/fphy.2025.1541888/fullquantum coherencequantum entanglementbell inequalityspectral detectioncoherence degree
spellingShingle Suirong He
Yufen Li
J. Q. Liang
L. F. Wei
Quantum coherence and the bell inequality violation: a numerical experiment with the cavity QEDs
Frontiers in Physics
quantum coherence
quantum entanglement
bell inequality
spectral detection
coherence degree
title Quantum coherence and the bell inequality violation: a numerical experiment with the cavity QEDs
title_full Quantum coherence and the bell inequality violation: a numerical experiment with the cavity QEDs
title_fullStr Quantum coherence and the bell inequality violation: a numerical experiment with the cavity QEDs
title_full_unstemmed Quantum coherence and the bell inequality violation: a numerical experiment with the cavity QEDs
title_short Quantum coherence and the bell inequality violation: a numerical experiment with the cavity QEDs
title_sort quantum coherence and the bell inequality violation a numerical experiment with the cavity qeds
topic quantum coherence
quantum entanglement
bell inequality
spectral detection
coherence degree
url https://www.frontiersin.org/articles/10.3389/fphy.2025.1541888/full
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AT yufenli quantumcoherenceandthebellinequalityviolationanumericalexperimentwiththecavityqeds
AT jqliang quantumcoherenceandthebellinequalityviolationanumericalexperimentwiththecavityqeds
AT lfwei quantumcoherenceandthebellinequalityviolationanumericalexperimentwiththecavityqeds