Improving entanglement of assistance bylocal parity-time symmetric operation

doi:10.1088/1674-1056/ab50fb

中国物理B ›› 2019, Vol. 28 ›› Issue (12): 120305-120305.doi: 10.1088/1674-1056/ab50fb

Improving entanglement of assistance bylocal parity-time symmetric operation

Zhi He(贺志), Zun-Yan Nie(聂尊言), Qiong Wang(王琼)

1 Hunan Province Cooperative Innovation Center for The Construction and Development of Dongting Lake Ecological Economic Zone, College of Mathematics and Physics Science, Hunan University of Arts and Science, Changde 415000, China;
2 Department of Junior Education, Changsha Normal University, Changsha 410100, China

收稿日期:2019-08-08 修回日期:2019-10-13 出版日期:2019-12-05 发布日期:2019-12-05
通讯作者: Zhi He E-mail:hz9209@126.com
基金资助:
Project supported by China Postdoctoral Science Foundation (Grant No. 2017M622582), the Natural Science Foundation of Hunan Province of China (Grant No. 2015JJ3092), the Research Foundation of Education Bureau of Hunan Province of China (Grant No. 16B177), Applied Characteristic Disciplines in Hunan Province-Electronic Science and Technology of China, and Hunan-Provincial Key Laboratory of Photoelectric Information Integration and Optical Manufacturing Technology.

Improving entanglement of assistance bylocal parity-time symmetric operation

Zhi He(贺志)¹, Zun-Yan Nie(聂尊言)¹, Qiong Wang(王琼)²

1 Hunan Province Cooperative Innovation Center for The Construction and Development of Dongting Lake Ecological Economic Zone, College of Mathematics and Physics Science, Hunan University of Arts and Science, Changde 415000, China;
2 Department of Junior Education, Changsha Normal University, Changsha 410100, China

Received:2019-08-08 Revised:2019-10-13 Online:2019-12-05 Published:2019-12-05
Contact: Zhi He E-mail:hz9209@126.com
Supported by:
Project supported by China Postdoctoral Science Foundation (Grant No. 2017M622582), the Natural Science Foundation of Hunan Province of China (Grant No. 2015JJ3092), the Research Foundation of Education Bureau of Hunan Province of China (Grant No. 16B177), Applied Characteristic Disciplines in Hunan Province-Electronic Science and Technology of China, and Hunan-Provincial Key Laboratory of Photoelectric Information Integration and Optical Manufacturing Technology.

摘要/Abstract

摘要： We investigate entanglement of assistance without and with decoherence using a local non-Hermitian operation, i.e., parity-time (PT) symmetric operation. First we give the explicit expressions of entanglement of assistance for a general W-like state of a three-qubit system under a local parity-time symmetric operation. Then for a famous W state without decoherence, we find that entanglement of assistance shared by two parties can be obviously enhanced with the assistance of the third party by a local parity-time symmetric operation. For the decoherence case, we provide two schemes to show the effects of local parity-time symmetric operation on improvement of entanglement of assistance against amplitude damping noise. We find that for the larger amplitude damping case the scheme of PT symmetric operation performed on one of two parties with the influence of noise is superior to that of PT symmetric operation performed on the third party without the influence of noise in suppressing amplitude damping noise. However, for the smaller amplitude damping case the opposite result is given. The obtained results imply that the local PT symmetric operation method may have potential applications in quantum decoherence control.

关键词: entanglement of assistance, local parity-time symmetric operation, amplitude damping noise

Abstract: We investigate entanglement of assistance without and with decoherence using a local non-Hermitian operation, i.e., parity-time (PT) symmetric operation. First we give the explicit expressions of entanglement of assistance for a general W-like state of a three-qubit system under a local parity-time symmetric operation. Then for a famous W state without decoherence, we find that entanglement of assistance shared by two parties can be obviously enhanced with the assistance of the third party by a local parity-time symmetric operation. For the decoherence case, we provide two schemes to show the effects of local parity-time symmetric operation on improvement of entanglement of assistance against amplitude damping noise. We find that for the larger amplitude damping case the scheme of PT symmetric operation performed on one of two parties with the influence of noise is superior to that of PT symmetric operation performed on the third party without the influence of noise in suppressing amplitude damping noise. However, for the smaller amplitude damping case the opposite result is given. The obtained results imply that the local PT symmetric operation method may have potential applications in quantum decoherence control.

Key words: entanglement of assistance, local parity-time symmetric operation, amplitude damping noise

中图分类号: (Entanglement production and manipulation)

03.67.Bg

03.65.Ca (Formalism) 03.67.Ac (Quantum algorithms, protocols, and simulations) 03.67.Hk (Quantum communication)

贺志, 聂尊言, 王琼. Improving entanglement of assistance bylocal parity-time symmetric operation[J]. 中国物理B, 2019, 28(12): 120305-120305.

Zhi He(贺志), Zun-Yan Nie(聂尊言), Qiong Wang(王琼). Improving entanglement of assistance bylocal parity-time symmetric operation[J]. Chin. Phys. B, 2019, 28(12): 120305-120305.

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Improving entanglement of assistance bylocal parity-time symmetric operation

Improving entanglement of assistance bylocal parity-time symmetric operation

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