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

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

Abstract

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.

Keywords: quantum uncertainty relation quantum coherence amplitude damping channel single qubit state

Received: 08 April 2018
Revised: 23 June 2018
Accepted manuscript online:

PACS:	03.65.Ta	(Foundations of quantum mechanics; measurement theory)
	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.-a	(Quantum information)

Fund:

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).

Corresponding Authors: Yongming Li
E-mail: liyongm@snnu.edu.cn

Cite this article:

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

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

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