Quantum uncertainty relations of quantum coherence and dynamics under amplitude damping channel

doi:10.1088/1674-1056/27/9/090301

中国物理B ›› 2018, Vol. 27 ›› Issue (9): 90301-090301.doi: 10.1088/1674-1056/27/9/090301

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Quantum uncertainty relations of quantum coherence and dynamics under amplitude damping channel

Fugang Zhang(张福刚), Yongming Li(李永明)

1 School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, China;
2 School of Computer Science, Shaanxi Normal University, Xi'an 710119, China

收稿日期:2018-04-08 修回日期:2018-06-23 出版日期:2018-09-05 发布日期:2018-09-05
通讯作者: Yongming Li E-mail:liyongm@snnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11671244), the Higher School Doctoral Subject Foundation of Ministry of Education of China (Grant No. 20130202110001), and Fundamental Research Funds for the Central Universities, China (Grant No. 2016CBY003).

Quantum uncertainty relations of quantum coherence and dynamics under amplitude damping channel

Fugang Zhang(张福刚)¹, Yongming Li(李永明)^1,2

1 School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, China;
2 School of Computer Science, Shaanxi Normal University, Xi'an 710119, China

Received:2018-04-08 Revised:2018-06-23 Online:2018-09-05 Published:2018-09-05
Contact: Yongming Li E-mail:liyongm@snnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11671244), the Higher School Doctoral Subject Foundation of Ministry of Education of China (Grant No. 20130202110001), and Fundamental Research Funds for the Central Universities, China (Grant No. 2016CBY003).

摘要/Abstract

摘要：

In this paper, we discuss quantum uncertainty relations of quantum coherence through a different method from Ref. [52]. Some lower bounds with parameters and their minimal bounds are obtained. Moreover, we find that for two pairs of measurement bases with the same maximum overlap, quantum uncertainty relations and lower bounds with parameters are different, but the minimal bounds are the same. In addition, we discuss the dynamics of quantum uncertainty relations of quantum coherence and their lower bounds under the amplitude damping channel (ADC). We find that the ADC will change the uncertainty relations and their lower bounds, and their tendencies depend on the initial state.

关键词: quantum uncertainty relation, quantum coherence, amplitude damping channel, single qubit state

Abstract:

Key words: quantum uncertainty relation, quantum coherence, amplitude damping channel, single qubit state

中图分类号: (Foundations of quantum mechanics; measurement theory)

03.65.Ta

03.65.Ud (Entanglement and quantum nonlocality) 03.67.-a (Quantum information)

张福刚, 李永明. Quantum uncertainty relations of quantum coherence and dynamics under amplitude damping channel[J]. 中国物理B, 2018, 27(9): 90301-090301.

Fugang Zhang(张福刚), Yongming Li(李永明). Quantum uncertainty relations of quantum coherence and dynamics under amplitude damping channel[J]. Chin. Phys. B, 2018, 27(9): 90301-090301.

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Quantum uncertainty relations of quantum coherence and dynamics under amplitude damping channel

Quantum uncertainty relations of quantum coherence and dynamics under amplitude damping channel

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