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Cormick, C.; Galvão, E.F.; Gottesman, D.; Paz, J.P.; Pittenger, A.O. "Classicality in discrete Wigner functions" (2006) Physical Review A - Atomic, Molecular, and Optical Physics. 73(1)
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Abstract:

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.

Registro:

Documento: Artículo
Título:Classicality in discrete Wigner functions
Autor:Cormick, C.; Galvão, E.F.; Gottesman, D.; Paz, J.P.; Pittenger, A.O.
Filiación:Departamento de Física Juan José Giambiagi, FCEyN UBA, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ont. N2L 2Y5, Canada
Theoretical Division, Los Alamos National Laboratory, MS B288, Los Alamos, NM 87545, United States
Department of Mathematics and Statistics, University of Maryland, Baltimore County, Baltimore, MD 21250, United States
Palabras clave:Computer simulation; Quantum theory; Discrete Wigner functions; Hilbert space; Unitary dynamics; Functions
Año:2006
Volumen:73
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevA.73.012301
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
CODEN:PLRAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v73_n1_p_Cormick

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Citas:

---------- APA ----------
Cormick, C., Galvão, E.F., Gottesman, D., Paz, J.P. & Pittenger, A.O. (2006) . Classicality in discrete Wigner functions. Physical Review A - Atomic, Molecular, and Optical Physics, 73(1).
http://dx.doi.org/10.1103/PhysRevA.73.012301
---------- CHICAGO ----------
Cormick, C., Galvão, E.F., Gottesman, D., Paz, J.P., Pittenger, A.O. "Classicality in discrete Wigner functions" . Physical Review A - Atomic, Molecular, and Optical Physics 73, no. 1 (2006).
http://dx.doi.org/10.1103/PhysRevA.73.012301
---------- MLA ----------
Cormick, C., Galvão, E.F., Gottesman, D., Paz, J.P., Pittenger, A.O. "Classicality in discrete Wigner functions" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 73, no. 1, 2006.
http://dx.doi.org/10.1103/PhysRevA.73.012301
---------- VANCOUVER ----------
Cormick, C., Galvão, E.F., Gottesman, D., Paz, J.P., Pittenger, A.O. Classicality in discrete Wigner functions. Phys Rev A. 2006;73(1).
http://dx.doi.org/10.1103/PhysRevA.73.012301