Entropic uncertainty relation for mutually unbiased bases

被引:104
|
作者
Wu, Shengjun [1 ,2 ,5 ]
Yu, Sixia [2 ,3 ,4 ,5 ]
Molmer, Klaus [1 ]
机构
[1] Aarhus Univ, Dept Phys & Astron, Lundbeck Fdn Theoret Ctr Quantum Syst Res, Aarhus, Denmark
[2] Univ Sci & Technol China, Hefei Natl Lab Phys Sci Microscale, Hefei 230026, Anhui, Peoples R China
[3] Natl Univ Singapore, Ctr Quantum Technol, Singapore 117542, Singapore
[4] Natl Univ Singapore, Dept Phys, Singapore 117542, Singapore
[5] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China
来源
PHYSICAL REVIEW A | 2009年 / 79卷 / 02期
关键词
entropy; measurement theory; probability; quantum computing; quantum theory; CERTAINTY RELATIONS; INFORMATION;
D O I
10.1103/PhysRevA.79.022104
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We derive inequalities for the probabilities of projective measurements in mutually unbiased bases of a qudit system. These inequalities lead to wider ranges of validity and tighter bounds on entropic uncertainty inequalities previously derived in the literature.
引用
收藏
页数:5
相关论文
共 50 条
  • [1] Optimal upper bound of entropic uncertainty relation for mutually unbiased bases
    Canturk, Bilal
    Gedik, Zafer
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2021, 582
  • [2] Entropic uncertainty relations and locking: Tight bounds for mutually unbiased bases
    Ballester, Manuel A.
    Wehner, Stephanie
    [J]. PHYSICAL REVIEW A, 2007, 75 (02)
  • [3] Entropic bounds for unitary testers and mutually unbiased unitary bases
    Shaari, Jesni Shamsul
    Mancini, Stefano
    [J]. ANNALS OF PHYSICS, 2020, 412
  • [4] Mutually unbiased bases
    Chaturvedi, S
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2002, 59 (02): : 345 - 350
  • [5] ON MUTUALLY UNBIASED BASES
    Durt, Thomas
    Englert, Berthold-Georg
    Bengtsson, Ingemar
    Zyczkowski, Karol
    [J]. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2010, 8 (04) : 535 - 640
  • [6] Mutually unbiased bases
    S Chaturvedi
    [J]. Pramana, 2002, 59 : 345 - 350
  • [7] Uncertainty relations for quantum coherence with respect to mutually unbiased bases
    Rastegin, Alexey E.
    [J]. FRONTIERS OF PHYSICS, 2018, 13 (01)
  • [8] Uncertainty relations for quantum coherence with respect to mutually unbiased bases
    Alexey E. Rastegin
    [J]. Frontiers of Physics, 2018, 13
  • [9] Constructions of mutually unbiased bases
    Klappenecker, A
    Rötteler, M
    [J]. FINITE FIELDS AND APPLICATIONS, 2004, 2948 : 137 - 144
  • [10] Weak mutually unbiased bases
    Shalaby, M.
    Vourdas, A.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (05)