On the discrete Wigner function for SU(N)
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Data
2019-10-04
Autores
Marchiolli, Marcelo A.
Galetti, Diogenes [UNESP]
Título da Revista
ISSN da Revista
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Editor
Iop Publishing Ltd
Resumo
We present a self-consistent theoretical framework for finite-dimensional discrete phase spaces that leads us to establish a well-grounded mapping scheme between Schwinger unitary operators and generators of the special unitary group SU(N). This general mathematical construction provides a sound pathway to the formulation of a genuinely discrete Wigner function for arbitrary quantum systems described by finite-dimensional state vector spaces. To illustrate our results, we obtain a general discrete Wigner function for the group SU(3) and apply this to the study of a particular three-level system. Moreover, we also discuss possible extensions to the discrete Husimi and Glauber-Sudarshan functions, as well as future investigations on multipartite quantum states.
Descrição
Palavras-chave
discrete Wigner function, group SU(N), finite-dimensional discrete phase spaces, Schwinger unitary operators
Como citar
Journal Of Physics A-mathematical And Theoretical. Bristol: Iop Publishing Ltd, v. 52, n. 40, 21 p., 2019.