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Poulin, D.; Laflamme, R.; Milburn, G.J.; Paz, J.P. "Testing integrability with a single bit of quantum information" (2003) Physical Review A - Atomic, Molecular, and Optical Physics. 68(2):6
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Abstract:

We show that deterministic quantum computing with a single bit can determine whether the classical limit of a quantum system is chaotic or integrable using [Formula Presented] physical resources, where N is the dimension of the Hilbert space of the system under study. This is a square-root improvement over all known classical procedures. Our study relies strictly on the random matrix conjecture. We also present numerical results for the nonlinear kicked top. © 2003 The American Physical Society.

Registro:

Documento: Artículo
Título:Testing integrability with a single bit of quantum information
Autor:Poulin, D.; Laflamme, R.; Milburn, G.J.; Paz, J.P.
Filiación:Perimeter Institute for Theoretical Physics, 35 King Street N., Waterloo, ON, N2J 2W9, Canada
Institute for Quantum Computing, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
Centre for Quantum Computer Technology, School of Physical Science, The University of Queensland, QLD, 4072, Australia
Departamento de Física “J.J. Giambiagi”, FCEN UBA, Pabell on 1 Ciudad Universitaria, Buenos Aires, 1428, Argentina
Theory Division, MS B213, Los Alamos National Laboratory, Los Alamos, NM, 87545, United States
Año:2003
Volumen:68
Número:2
Página de inicio:6
DOI: http://dx.doi.org/10.1103/PhysRevA.68.022302
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v68_n2_p6_Poulin

Referencias:

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  • Miquel, C., Paz, J.P., Saraceno, M., Knill, E., Laflamme, R., Negrevergne, C., (2002) Nature (London), 418, p. 59
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  • It is important to note that (Formula presented) need not increase with N; in fact, it is quite the opposite. The probability of error scales like the overlap of two Gaussian distributions of width (Formula presented) and centered about points (Formula presented) and (Formula presented) clearly, this overlap decreases with N

Citas:

---------- APA ----------
Poulin, D., Laflamme, R., Milburn, G.J. & Paz, J.P. (2003) . Testing integrability with a single bit of quantum information. Physical Review A - Atomic, Molecular, and Optical Physics, 68(2), 6.
http://dx.doi.org/10.1103/PhysRevA.68.022302
---------- CHICAGO ----------
Poulin, D., Laflamme, R., Milburn, G.J., Paz, J.P. "Testing integrability with a single bit of quantum information" . Physical Review A - Atomic, Molecular, and Optical Physics 68, no. 2 (2003) : 6.
http://dx.doi.org/10.1103/PhysRevA.68.022302
---------- MLA ----------
Poulin, D., Laflamme, R., Milburn, G.J., Paz, J.P. "Testing integrability with a single bit of quantum information" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 68, no. 2, 2003, pp. 6.
http://dx.doi.org/10.1103/PhysRevA.68.022302
---------- VANCOUVER ----------
Poulin, D., Laflamme, R., Milburn, G.J., Paz, J.P. Testing integrability with a single bit of quantum information. Phys Rev A. 2003;68(2):6.
http://dx.doi.org/10.1103/PhysRevA.68.022302