Complementarity and the algebraic structure of four-level quantum systems

Dénes Petz, András Szántó, Mihály Weiner

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The history of complementary observables and mutual unbiased bases is shortly reviewed. A characterization is given in terms of conditional entropy of subalgebras due to Connes and Størmer. The extension of complementarity to noncommutative subalgebras is considered as well. Possible complementary decompositions of a four-level quantum system are described and a characterization of the Bell basis is obtained: The MASA generated by the Bell basis is complementary to both M2() tensor factors.

Original languageEnglish
Pages (from-to)99-116
Number of pages18
JournalInfinite Dimensional Analysis, Quantum Probability and Related Topics
Volume12
Issue number1
DOIs
Publication statusPublished - Mar 2009

Fingerprint

Complementarity
Algebraic Structure
bells
Quantum Systems
Subalgebra
Conditional Entropy
Tensors
Entropy
Tensor
histories
tensors
entropy
Decomposition
decomposition
Decompose
History

Keywords

  • Bell basis
  • Complementarity
  • Conditional entropy
  • Mutually unbiased bases
  • Quantum information
  • Qubits
  • Subsystem

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistics and Probability
  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Complementarity and the algebraic structure of four-level quantum systems. / Petz, Dénes; Szántó, András; Weiner, Mihály.

In: Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 12, No. 1, 03.2009, p. 99-116.

Research output: Contribution to journalArticle

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