Classicality in discrete Wigner functions

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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...

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Autor principal: Cormick, María Cecilia
Otros Autores: Galvão, E.F, Gottesman, D., Paz, J.P, Pittenger, A.O
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: American Physical Society 2006
Acceso en línea:Registro en Scopus
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100 1 |a Cormick, María Cecilia 
245 1 0 |a Classicality in discrete Wigner functions 
260 |b American Physical Society  |c 2006 
270 1 0 |m Cormick, C.; Departamento de Física Juan José Giambiagi, FCEyN UBA, Ciudad Universitaria, 1428 Buenos Aires, Argentina 
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504 |a Gottesman, D., Ph.D. thesis, California Institute of Technology, 1997;; e-print quant-ph/9705052; Lidl, R., Niederreiter, H., (1986) Introduction to Finite Fields and Their Applications, , Cambridge University Press, Cambridge 
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506 |2 openaire  |e Política editorial 
520 3 |a 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.  |l eng 
593 |a Departamento de Física Juan José Giambiagi, FCEyN UBA, Ciudad Universitaria, 1428 Buenos Aires, Argentina 
593 |a Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ont. N2L 2Y5, Canada 
593 |a Theoretical Division, Los Alamos National Laboratory, MS B288, Los Alamos, NM 87545, United States 
593 |a Department of Mathematics and Statistics, University of Maryland, Baltimore County, Baltimore, MD 21250, United States 
690 1 0 |a COMPUTER SIMULATION 
690 1 0 |a QUANTUM THEORY 
690 1 0 |a DISCRETE WIGNER FUNCTIONS 
690 1 0 |a HILBERT SPACE 
690 1 0 |a UNITARY DYNAMICS 
690 1 0 |a FUNCTIONS 
700 1 |a Galvão, E.F. 
700 1 |a Gottesman, D. 
700 1 |a Paz, J.P. 
700 1 |a Pittenger, A.O. 
773 0 |d American Physical Society, 2006  |g v. 73  |k n. 1  |p Phys Rev A  |x 10502947  |t Physical Review A - Atomic, Molecular, and Optical Physics 
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