Visualizing and witnessing first-order coherence, Bell nonlocality and purity by using a quantum steering ellipsoid in the non-inertial frame

doi:10.1088/1674-1056/acb762

中国物理B ›› 2023, Vol. 32 ›› Issue (10): 100305-100305.doi: 10.1088/1674-1056/acb762

Visualizing and witnessing first-order coherence, Bell nonlocality and purity by using a quantum steering ellipsoid in the non-inertial frame

Huan Yang(杨欢)^1,†, Ling-Ling Xing(邢玲玲)¹, Ming-Ming Du(杜明明)², Min Kong(孔敏)¹, Gang Zhang(张刚)^1,‡, and Liu Ye(叶柳)³

1 School of Electrical and Photoelectronic Engineering, West Anhui University, Lu'an 237012, China;
2 College of Electronic and Optical Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
3 School of Physics and Optoelectronic Engineering, Anhui University, Hefei 230039, China

收稿日期:2022-11-08 修回日期:2023-01-17 接受日期:2023-01-31 出版日期:2023-09-21 发布日期:2023-09-22
通讯作者: Huan Yang, Gang Zhang E-mail:hyang@wxc.edu.cn;zhanggang@wxc.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12175001), the Natural Science Research Key Project of the Education Department of Anhui Province of China (Grant No. KJ2021A0943), the Research Start-up Funding Project of High Level Talent of West Anhui University (Grant No. WGKQ2021048), an Open Project of the Key Laboratory of Functional Materials and Devices for Informatics of Anhui Higher Education Institutes (Grant No. FMDI202106), the University Synergy Innovation Program of Anhui Province (Grant No. GXXT-2021-026) and the Anhui Provincial Natural Science Foundation (Grant Nos. 2108085MA18 and 2008085MA20).

Visualizing and witnessing first-order coherence, Bell nonlocality and purity by using a quantum steering ellipsoid in the non-inertial frame

Huan Yang(杨欢)^1,†, Ling-Ling Xing(邢玲玲)¹, Ming-Ming Du(杜明明)², Min Kong(孔敏)¹, Gang Zhang(张刚)^1,‡, and Liu Ye(叶柳)³

1 School of Electrical and Photoelectronic Engineering, West Anhui University, Lu'an 237012, China;
2 College of Electronic and Optical Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
3 School of Physics and Optoelectronic Engineering, Anhui University, Hefei 230039, China

Received:2022-11-08 Revised:2023-01-17 Accepted:2023-01-31 Online:2023-09-21 Published:2023-09-22
Contact: Huan Yang, Gang Zhang E-mail:hyang@wxc.edu.cn;zhanggang@wxc.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12175001), the Natural Science Research Key Project of the Education Department of Anhui Province of China (Grant No. KJ2021A0943), the Research Start-up Funding Project of High Level Talent of West Anhui University (Grant No. WGKQ2021048), an Open Project of the Key Laboratory of Functional Materials and Devices for Informatics of Anhui Higher Education Institutes (Grant No. FMDI202106), the University Synergy Innovation Program of Anhui Province (Grant No. GXXT-2021-026) and the Anhui Provincial Natural Science Foundation (Grant Nos. 2108085MA18 and 2008085MA20).

摘要/Abstract

摘要： A quantum steering ellipsoid (QSE) is a visual characterization for bipartite qubit systems, and it is also a novel avenue for describing and detecting quantum correlations. Herein, by using a QSE, we visualize and witness the first-order coherence (FOC), Bell nonlocality (BN) and purity under non-inertial frames. Also, the collective influences of the depolarizing channel and the non-coherence-generating channel (NCGC) on the FOC, BN and purity are investigated in the QSE formalism. The results reveal that the distance from the center of the QSE to the center of the Bloch sphere visualizes the FOC of a bipartite system, the lengths of the QSE semiaxis visualize the BN, and the QSE's shape and position dominate the purity of the system. One can capture the FOC, BN and purity via the shape and position of the QSE in the non-inertial frame. The depolarizing channel (the NCGC) gives rise to the shrinking and degradation (the periodical oscillation) of the QSE. One can use these traits to visually characterize and detect the FOC, BN and purity under the influence of external noise. Of particular note is that the condition for the QSE to achieve the center of the Bloch sphere cannot be influenced by the depolarizing channel and the NCGC. The characterization shows that the conditions for the disappearance of the FOC are invariant under the additional influences of the depolarizing channel and NCGC.

关键词: quantum steering ellipsoid, first-order coherence, Bell-nonlocality, purity

Abstract: A quantum steering ellipsoid (QSE) is a visual characterization for bipartite qubit systems, and it is also a novel avenue for describing and detecting quantum correlations. Herein, by using a QSE, we visualize and witness the first-order coherence (FOC), Bell nonlocality (BN) and purity under non-inertial frames. Also, the collective influences of the depolarizing channel and the non-coherence-generating channel (NCGC) on the FOC, BN and purity are investigated in the QSE formalism. The results reveal that the distance from the center of the QSE to the center of the Bloch sphere visualizes the FOC of a bipartite system, the lengths of the QSE semiaxis visualize the BN, and the QSE's shape and position dominate the purity of the system. One can capture the FOC, BN and purity via the shape and position of the QSE in the non-inertial frame. The depolarizing channel (the NCGC) gives rise to the shrinking and degradation (the periodical oscillation) of the QSE. One can use these traits to visually characterize and detect the FOC, BN and purity under the influence of external noise. Of particular note is that the condition for the QSE to achieve the center of the Bloch sphere cannot be influenced by the depolarizing channel and the NCGC. The characterization shows that the conditions for the disappearance of the FOC are invariant under the additional influences of the depolarizing channel and NCGC.

Key words: quantum steering ellipsoid, first-order coherence, Bell-nonlocality, purity

中图分类号: (Quantum information)

03.67.-a

03.65.Yz (Decoherence; open systems; quantum statistical methods) 03.65.Ud (Entanglement and quantum nonlocality)

Huan Yang(杨欢), Ling-Ling Xing(邢玲玲), Ming-Ming Du(杜明明), Min Kong(孔敏), Gang Zhang(张刚), and Liu Ye(叶柳). Visualizing and witnessing first-order coherence, Bell nonlocality and purity by using a quantum steering ellipsoid in the non-inertial frame[J]. 中国物理B, 2023, 32(10): 100305-100305.

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Visualizing and witnessing first-order coherence, Bell nonlocality and purity by using a quantum steering ellipsoid in the non-inertial frame

Visualizing and witnessing first-order coherence, Bell nonlocality and purity by using a quantum steering ellipsoid in the non-inertial frame

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