Improved quantum entropic uncertainty relations

被引：14

作者：

Chen, Zhihua ^{[1
]}

Ma, Zhihao ^{[2
]}

Xiao, Yunlong ^{[3
,4
]}

Fei, Shao-Ming ^{[5
,6
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Coll Sci, Hangzhou 310014, Zhejiang, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[3] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

[4] Univ Calgary, Inst Quantum Sci & Technol, Calgary, AB T2N 1N4, Canada

[5] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[6] Max Planck Inst Math Sci, D-04103 Leipzig, Germany

来源：

PHYSICAL REVIEW A | 2018年 / 98卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.98.042305

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study entropic uncertainty relations by using stepwise linear functions and quadratic functions. Two kinds of improved uncertainty lower bounds are constructed: the state-independent one based on the lower bound of Shannon entropy and the tighter state-dependent one based on the majorization techniques. The analytical results for qubit and qutrit systems with two or three measurement settings are explicitly derived, with detailed examples showing that they outperform the existing bounds. The case with the presence of quantum memory is also investigated.

引用

页数：13

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