Properties of Quantizer and Dequantizer Operators for Qudit States and Parametric Down-Conversion

Peter Adam; Vladimir A. Andreev; Margarita A. Man’ko; Vladimir I. Man’ko; Matyas Mechler

doi:10.3390/sym13010131

Symmetry (Jan 2021)

Properties of Quantizer and Dequantizer Operators for Qudit States and Parametric Down-Conversion

Peter Adam,
Vladimir A. Andreev,
Margarita A. Man’ko,
Vladimir I. Man’ko,
Matyas Mechler

Affiliations

Peter Adam: Institute for Solid State Physics and Optics, Wigner Research Center for Physics, P.O. Box 49, H-1525 Budapest, Hungary
Vladimir A. Andreev: Lebedev Physical Institute, Leninskii Prospect 53, 119991 Moscow, Russia
Margarita A. Man’ko: Lebedev Physical Institute, Leninskii Prospect 53, 119991 Moscow, Russia
Vladimir I. Man’ko: Lebedev Physical Institute, Leninskii Prospect 53, 119991 Moscow, Russia
Matyas Mechler: Institute of Physics, University of Pécs, Ifjúság útja 6, H-7624 Pécs, Hungary

DOI: https://doi.org/10.3390/sym13010131
Journal volume & issue: Vol. 13, no. 1
p. 131

Abstract

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We review the method of quantizers and dequantizers to construct an invertible map of the density operators onto functions including probability distributions and discuss in detail examples of qubit and qutrit states. The biphoton states existing in the process of parametric down-conversion are studied in the probability representation of quantum mechanics.

Published in Symmetry

ISSN: 2073-8994 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/symmetry/

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