Variance-based uncertainty relations for incompatible observables

被引：33
|
作者：
Chen, Bin [1 ,2 ]
Cao, Ning-Ping [3 ]
Fei, Shao-Ming [3 ,4 ]
Long, Gui-Lu [1 ,2 ,5 ]
机构：
[1] Tsinghua Univ, Dept Phys, State Key Lab Low Dimens Quantum Phys, Beijing 100084, Peoples R China
[2] Tsinghua Natl Lab Informat Sci & Technol, Beijing 100084, Peoples R China
[3] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[4] Max Planck Inst Math Sci, D-04103 Leipzig, Germany
[5] Collaborat Innovat Ctr Quantum Matter, Beijing 100084, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2016年 / 15卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Uncertainty relation; Incompatible observables; Sum of variances; QUANTUM MEASUREMENTS; PRINCIPLE;
D O I：
10.1007/s11128-016-1365-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We formulate uncertainty relations for arbitrary finite number of incompatible observables. Based on the sum of variances of the observables, both Heisenberg-type and Schrodinger-type uncertainty relations are provided. These new lower bounds are stronger in most of the cases than the ones derived from some existing inequalities. Detailed examples are presented.
引用
收藏
页码：3909 / 3917
页数：9
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