Classicality in discrete Wigner functions

Gibbons, [Phys. Rev. A 70, 062101 (2004)] have recently defined discrete Wigner functions W to represent quantum states in a Hilbert space with finite dimension. We show that such a class of Wigner functions W can be defined so that the only pure states having non-negative W for all such functions a...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Cormick, M. Cecilia, Paz, Juan Pablo
Publicado: 2006
Materias:
Computer simulation
Quantum theory
Discrete Wigner functions
Hilbert space
Unitary dynamics
Functions
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v73_n1_p_Cormick
http://hdl.handle.net/20.500.12110/paper_10502947_v73_n1_p_Cormick
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10502947_v73_n1_p_Cormick
record_format dspace
spelling paper:paper_10502947_v73_n1_p_Cormick2023-06-08T16:02:19Z Classicality in discrete Wigner functions Cormick, M. Cecilia Paz, Juan Pablo Computer simulation Quantum theory Discrete Wigner functions Hilbert space Unitary dynamics Functions Gibbons, [Phys. Rev. A 70, 062101 (2004)] have recently defined discrete Wigner functions W to represent quantum states in a Hilbert space with finite dimension. We show that such a class of Wigner functions W can be defined so that the only pure states having non-negative W for all such functions are stabilizer states, as conjectured by Galvão, [Phys. Rev. A 71, 042302 (2005)]. We also show that the unitaries preserving non-negativity of W for all definitions of W in the class form a subgroup of the Clifford group. This means pure states with non-negative W and their associated unitary dynamics are classical in the sense of admitting an efficient classical simulation scheme using the stabilizer formalism. © 2006 The American Physical Society. Fil:Cormick, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v73_n1_p_Cormick http://hdl.handle.net/20.500.12110/paper_10502947_v73_n1_p_Cormick
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Computer simulation
Quantum theory
Discrete Wigner functions
Hilbert space
Unitary dynamics
Functions
spellingShingle Computer simulation
Quantum theory
Discrete Wigner functions
Hilbert space
Unitary dynamics
Functions
Cormick, M. Cecilia
Paz, Juan Pablo
Classicality in discrete Wigner functions
topic_facet Computer simulation
Quantum theory
Discrete Wigner functions
Hilbert space
Unitary dynamics
Functions
description Gibbons, [Phys. Rev. A 70, 062101 (2004)] have recently defined discrete Wigner functions W to represent quantum states in a Hilbert space with finite dimension. We show that such a class of Wigner functions W can be defined so that the only pure states having non-negative W for all such functions are stabilizer states, as conjectured by Galvão, [Phys. Rev. A 71, 042302 (2005)]. We also show that the unitaries preserving non-negativity of W for all definitions of W in the class form a subgroup of the Clifford group. This means pure states with non-negative W and their associated unitary dynamics are classical in the sense of admitting an efficient classical simulation scheme using the stabilizer formalism. © 2006 The American Physical Society.
author Cormick, M. Cecilia
Paz, Juan Pablo
author_facet Cormick, M. Cecilia
Paz, Juan Pablo
author_sort Cormick, M. Cecilia
title Classicality in discrete Wigner functions
title_short Classicality in discrete Wigner functions
title_full Classicality in discrete Wigner functions
title_fullStr Classicality in discrete Wigner functions
title_full_unstemmed Classicality in discrete Wigner functions
title_sort classicality in discrete wigner functions
publishDate 2006
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v73_n1_p_Cormick
http://hdl.handle.net/20.500.12110/paper_10502947_v73_n1_p_Cormick
work_keys_str_mv AT cormickmcecilia classicalityindiscretewignerfunctions
AT pazjuanpablo classicalityindiscretewignerfunctions
_version_ 1768545748269400064

Ejemplares similares