Ascertaining the influences of auxiliary qubits on the Einstein-Podolsky-Rosen steering and its directions

doi:10.1088/1674-1056/ad1927

中国物理B ›› 2024, Vol. 33 ›› Issue (5): 50304-050304.doi: 10.1088/1674-1056/ad1927

Ascertaining the influences of auxiliary qubits on the Einstein-Podolsky-Rosen steering and its directions

Ling-Ling Xing(邢玲玲), Huan Yang(杨欢)†, Gang Zhang(张刚)‡, and Min Kong(孔敏)

School of Electrical and Photoelectronic Engineering, West Anhui University, Lu'an 237012, China

收稿日期:2023-11-07 修回日期:2023-12-27 接受日期:2023-12-28 出版日期:2024-05-20 发布日期:2024-05-20
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 Key Project of Natural Science Research of West Anhui University (Grant No. WXZR202311), the Natural Science Research Key Project of Education Department of Anhui Province of China (Grant Nos. KJ2021A0943, 2022AH051681, and 2023AH052648), the Open Fund of Anhui Undergrowth Crop Intelligent Equipment Engineering Research Center (Grant No. AUCIEERC-2022-01), Anhui Undergrowth Crop Intelligent Equipment Engineering Research Center (Grant No. 2022AH010091), the University Synergy Innovation Program of Anhui Province (Grant No. GXXT-2021-026), the Anhui Provincial Natural Science Foundation (Grant Nos. 2108085MA18 and 2008085MA20), Key Project of Program for Excellent Young Talents of Anhui Universities (Grant No. gxyqZD2019042), the open project of the Key Laboratory of Functional Materials and Devices for Informatics of Anhui Higher Education Institutes (Grant No. FMDI202106), and the research start-up funding project of High Level Talent of West Anhui University (Grant No. WGKQ2021048).

Ascertaining the influences of auxiliary qubits on the Einstein-Podolsky-Rosen steering and its directions

Ling-Ling Xing(邢玲玲), Huan Yang(杨欢)†, Gang Zhang(张刚)‡, and Min Kong(孔敏)

School of Electrical and Photoelectronic Engineering, West Anhui University, Lu'an 237012, China

Received:2023-11-07 Revised:2023-12-27 Accepted:2023-12-28 Online:2024-05-20 Published:2024-05-20
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 Key Project of Natural Science Research of West Anhui University (Grant No. WXZR202311), the Natural Science Research Key Project of Education Department of Anhui Province of China (Grant Nos. KJ2021A0943, 2022AH051681, and 2023AH052648), the Open Fund of Anhui Undergrowth Crop Intelligent Equipment Engineering Research Center (Grant No. AUCIEERC-2022-01), Anhui Undergrowth Crop Intelligent Equipment Engineering Research Center (Grant No. 2022AH010091), the University Synergy Innovation Program of Anhui Province (Grant No. GXXT-2021-026), the Anhui Provincial Natural Science Foundation (Grant Nos. 2108085MA18 and 2008085MA20), Key Project of Program for Excellent Young Talents of Anhui Universities (Grant No. gxyqZD2019042), the open project of the Key Laboratory of Functional Materials and Devices for Informatics of Anhui Higher Education Institutes (Grant No. FMDI202106), and the research start-up funding project of High Level Talent of West Anhui University (Grant No. WGKQ2021048).

摘要/Abstract

摘要： Einstein-Podolsky-Rosen (EPR) steering is an example of nontrivial quantum nonlocality and characteristic in the non-classical world. The directivity (or asymmetry) is a fascinating trait of EPR steering, and it is different from other quantum nonlocalities. Here, we consider the strategy in which two atoms compose a two-qubit X state, and the two atoms are owned by Alice and Bob, respectively. The atom of Alice suffers from a reservoir, and the atom of Bob couples with a bit flip channel. The influences of auxiliary qubits on EPR steering and its directions are revealed by means of the entropy uncertainty relation. The results indicate that EPR steering declines with growing time $t$ when adding fewer auxiliary qubits. The EPR steering behaves as damped oscillation when introducing more auxiliary qubits in the strong coupling regime. In the weak coupling regime, the EPR steering monotonously decreases as $t$ increases when coupling auxiliary qubits. The increases in auxiliary qubits are responsible for the fact that the steerability from Alice to Bob (or from Bob to Alice) can be more effectively revealed. Notably, the introductions of more auxiliary qubits can change the situation that steerability from Alice to Bob is certain to a situation in which steerability from Bob to Alice is certain.

关键词: auxiliary qubits, EPR steering, directions, influence

Abstract: Einstein-Podolsky-Rosen (EPR) steering is an example of nontrivial quantum nonlocality and characteristic in the non-classical world. The directivity (or asymmetry) is a fascinating trait of EPR steering, and it is different from other quantum nonlocalities. Here, we consider the strategy in which two atoms compose a two-qubit X state, and the two atoms are owned by Alice and Bob, respectively. The atom of Alice suffers from a reservoir, and the atom of Bob couples with a bit flip channel. The influences of auxiliary qubits on EPR steering and its directions are revealed by means of the entropy uncertainty relation. The results indicate that EPR steering declines with growing time $t$ when adding fewer auxiliary qubits. The EPR steering behaves as damped oscillation when introducing more auxiliary qubits in the strong coupling regime. In the weak coupling regime, the EPR steering monotonously decreases as $t$ increases when coupling auxiliary qubits. The increases in auxiliary qubits are responsible for the fact that the steerability from Alice to Bob (or from Bob to Alice) can be more effectively revealed. Notably, the introductions of more auxiliary qubits can change the situation that steerability from Alice to Bob is certain to a situation in which steerability from Bob to Alice is certain.

Key words: auxiliary qubits, EPR steering, directions, influence

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)

Ling-Ling Xing(邢玲玲), Huan Yang(杨欢), Gang Zhang(张刚), and Min Kong(孔敏). Ascertaining the influences of auxiliary qubits on the Einstein-Podolsky-Rosen steering and its directions[J]. 中国物理B, 2024, 33(5): 50304-050304.

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Ascertaining the influences of auxiliary qubits on the Einstein-Podolsky-Rosen steering and its directions

Ascertaining the influences of auxiliary qubits on the Einstein-Podolsky-Rosen steering and its directions

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