Continuous Sets of Dequantizers and Quantizers for One-Qubit States*

Peter Adam, Vladimir A. Andreev, Aurelian Isar, Margarita A. Man’ko, Vladimir I. Man’ko

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2 Citations (Scopus)

Abstract

We show the star-product quantization procedure for spin-1/2 particles (qubits) employing the construction of a pair of operators – dequantizers and quantizers. We present an explicit description of all minimal systems of such dequantizers and quantizers and discuss their relation to the probability representation of spin states where the fair probability distribution is identified with the spin states. We give some examples and discuss the possibility of constructing a symplectic structure in the finite-dimensional phase space.

Original languageEnglish
Pages (from-to)544-555
Number of pages12
JournalJournal of Russian Laser Research
Volume37
Issue number6
DOIs
Publication statusPublished - Nov 1 2016

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Keywords

  • dequantizers
  • discrete Wigner function
  • operator symbols
  • quantizers
  • spin states
  • star-product
  • symplectic structure

ASJC Scopus subject areas

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

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