Variance-based uncertainty relation for incompatible observers

被引:7
|
作者
Zheng, Xiao [1 ]
Zhang, Guo-Feng [1 ]
机构
[1] Beihang Univ, Sch Phys & Nucl Energy Engn, Key Lab Micronano Measurement Manipulat & Phys, Minist Educ, Xueyuan Rd 37, Beijing 100191, Peoples R China
基金
中国国家自然科学基金;
关键词
Uncertainty; Mixedness; Equality; QUANTUM; PRINCIPLE;
D O I
10.1007/s11128-017-1619-6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Based on mixedness definition as M = 1 - tr (rho(2)), we obtain a new variance-based uncertainty equality along with an inequality for Hermitian operators of a single-qubit system. The obtained uncertainty equality can be used as a measure of the system mixedness. A qubit system with feedback control is also exploited to demonstrate the new uncertainty.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] Variance-based uncertainty relation for incompatible observers
    Xiao Zheng
    Guo-Feng Zhang
    [J]. Quantum Information Processing, 2017, 16
  • [2] Variance-based uncertainty relations for incompatible observables
    Bin Chen
    Ning-Ping Cao
    Shao-Ming Fei
    Gui-Lu Long
    [J]. Quantum Information Processing, 2016, 15 : 3909 - 3917
  • [3] Variance-based uncertainty relations for incompatible observables
    Chen, Bin
    Cao, Ning-Ping
    Fei, Shao-Ming
    Long, Gui-Lu
    [J]. QUANTUM INFORMATION PROCESSING, 2016, 15 (09) : 3909 - 3917
  • [4] Variance-based uncertainty relations
    Huang, Yichen
    [J]. PHYSICAL REVIEW A, 2012, 86 (02):
  • [5] Implications and applications of the variance-based uncertainty equalities
    Yao, Yao
    Xiao, Xing
    Wang, Xiaoguang
    Sun, C. P.
    [J]. PHYSICAL REVIEW A, 2015, 91 (06):
  • [6] Stronger variance-based unitary uncertainty relations
    Zheng, Xu
    Guo, Qiong
    [J]. QUANTUM INFORMATION PROCESSING, 2024, 23 (07)
  • [7] Nonparametric variance-based methods of assessing uncertainty importance
    McKay, MD
    [J]. RELIABILITY ENGINEERING & SYSTEM SAFETY, 1997, 57 (03) : 267 - 279
  • [8] Parameter uncertainty effects on variance-based sensitivity analysis
    Yu, W.
    Harris, T. J.
    [J]. RELIABILITY ENGINEERING & SYSTEM SAFETY, 2009, 94 (02) : 596 - 603
  • [9] Unified and Exact Framework for Variance-Based Uncertainty Relations
    Zheng, Xiao
    Ma, Shao-Qiang
    Zhang, Guo-Feng
    Fan, Heng
    Liu, Wu-Ming
    [J]. SCIENTIFIC REPORTS, 2020, 10 (01)
  • [10] Unified and Exact Framework for Variance-Based Uncertainty Relations
    Xiao Zheng
    Shao-Qiang Ma
    Guo-Feng Zhang
    Heng Fan
    Wu-Ming Liu
    [J]. Scientific Reports, 10