Nonnegative Discrete Symbols and Their Probabilistic Interpretation

P. Ádám, Vladimir A. Andreev, Margarita A. Man’ko, Vladimir I. Man’ko

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We review the quantizer–dequantizer formalism of constructing symbols of the density operators and quantum observables, such as Wigner functions and tomographic-probability distributions. We present a tutorial consideration of the technique of obtaining minimal sets of dequantizers (quorum) related to the observable eigenvalues for one-qubit states. We discuss a generalization of the quantizer–dequantizer scheme on the example of spin-1/2 states. We consider the possibilities of extending the results to two-qubit systems using spin tomograms of the state density matrix.

Original languageEnglish
Pages (from-to)491-506
Number of pages16
JournalJournal of Russian Laser Research
Volume38
Issue number6
DOIs
Publication statusPublished - Nov 1 2017

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Keywords

  • dequantizers
  • probability representation of the density operator
  • quantizers
  • quantum tomogram
  • qubit

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Engineering (miscellaneous)

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