Interference in discrete Wigner functions

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We analyze some features of the class of discrete Wigner functions that was recently introduced by Gibbons [Phys. Rev. A 70, 062101 (2004)] to represent quantum states of systems with power-of-prime dimensional Hilbert spaces. We consider "cat" states obtained as coherent superpositions of...

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Autor principal: Cormick, María Cecilia
Otros Autores: Paz, J.P
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2006
Acceso en línea:Registro en Scopus
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Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
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245 1 0 |a Interference in discrete Wigner functions 
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270 1 0 |m Cormick, C.; Departamento de Física, FCEyN, Pabellón 1, 1428 Buenos Aires, Argentina 
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504 |a Miquel, C., Paz, J.P., Saraceno, M., (2002) Phys. Rev. A, 65, p. 062309. , PLRAAN 1050-2947 10.1103/PhysRevA.65.062309 
504 |a Paz, J.P., Roncaglia, A.J., Saraceno, M., (2005) Phys. Rev. A, 72, p. 012309. , PLRAAN 1050-2947 10.1103/PhysRevA.72.012309 
504 |a Wootters, W.K., (2004) IBM J. Res. Dev., 48, p. 99. , IBMJAE 0018-8646 
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504 |a Paz, J.P., (2002) Phys. Rev. A, 65, p. 062311. , PLRAAN 1050-2947 10.1103/PhysRevA.65.062311 
504 |a Lopez, C.C., Paz, J.P., (2003) Phys. Rev. A, 68, p. 052305. , PLRAAN 1050-2947 10.1103/PhysRevA.68.052305 
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504 |a Klappenecker, A., Rötteler, M., (2004) Lect. Notes Comput. Sci., 2948, p. 137. , LNCSD9. 0302-9743 
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504 |a Cormick, C., Galvao, E.F., Gottesman, D., Paz, J.P., Pittenger, A.O., (2006) Phys. Rev. A, 73, p. 012301. , PLRAAN 1050-2947 10.1103/PhysRevA.73.012301 
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504 |a Schlingemann, D., (2002) Quantum Inf. Comput., 4, p. 307. , QICUAW 1533-7146 
506 |2 openaire  |e Política editorial 
520 3 |a We analyze some features of the class of discrete Wigner functions that was recently introduced by Gibbons [Phys. Rev. A 70, 062101 (2004)] to represent quantum states of systems with power-of-prime dimensional Hilbert spaces. We consider "cat" states obtained as coherent superpositions of states with positive Wigner function; for such states we show that the oscillations of the discrete Wigner function typically spread over the entire discrete phase space (including the regions where the two interfering states are localized). This is a generic property, which is in sharp contrast with the usual attributes of Wigner functions that make them useful candidates to display the existence of quantum coherence through oscillations. However, it is possible to find subsets of cat states with a natural phase-space representation, in which the oscillatory regions remain localized. We show that this can be done for interesting families of stabilizer states used in quantum error-correcting codes, and illustrate this by analyzing the phase-space representation of the five-qubit error-correcting code. © 2006 The American Physical Society.  |l eng 
593 |a Departamento de Física, FCEyN, Pabellón 1, 1428 Buenos Aires, Argentina 
690 1 0 |a ERROR CORRECTION 
690 1 0 |a OSCILLATIONS 
690 1 0 |a PHASE SPACE METHODS 
690 1 0 |a QUANTUM THEORY 
690 1 0 |a GENERIC PROPERTY 
690 1 0 |a HILBERT SPACES 
690 1 0 |a PHASE-SPACE REPRESENTATION 
690 1 0 |a WIGNER FUNCTIONS 
690 1 0 |a FUNCTIONS 
700 1 |a Paz, J.P. 
773 0 |d 2006  |g v. 74  |k n. 6  |p Phys Rev A  |x 10502947  |t Physical Review A - Atomic, Molecular, and Optical Physics 
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