Optimal upper bound of entropic uncertainty relation for mutually unbiased bases

Creative Commons License

Canturk B., Gedik Z.

Physica A: Statistical Mechanics and its Applications, cilt.582, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 582
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.physa.2021.126275
  • Dergi Adı: Physica A: Statistical Mechanics and its Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Artic & Antarctic Regions, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Entendibility of mutually unbiased bases, Entropic uncertainty relation, Mutually coherent states, Mutually unbiased bases, Variational calculus
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

We have obtained the optimal upper bound of entropic uncertainty relation for N Mutually Unbiased Bases (MUBs). We have used the methods of variational calculus for the states that can be written in terms of N MUBs. Our result is valid for any state when N is d+1, where d is the dimension of the related system. We provide a quantitative criterion for the extendibility of MUBs based on entropic certainty relation. In addition, we have applied our result to information exclusion relation of (d+1) observables conditioned with a classical memory which can be used to detect the compatibility of the observables.