Abstract:
We show how to represent the state and the evolution of a quantum computer (or any system with an N-dimensional Hilbert space) in phase space. For this purpose we use a discrete version of the Wigner function which, for arbitrary N, is defined in a phase space grid of 2N × 2N points. We compute such Wigner function for states which are relevant for quantum computation. Finally, we discuss properties of quantum algorithms in phase space and present the phase space representation of Grover’s quantum search algorithm. © 2002 Elsevier Science Ltd. All rights reserved.
Registro:
Documento: |
Artículo
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Título: | Discrete Wigner functions and the phase space representation of quantum computers |
Autor: | Bianucci, P.; Miquel, C.; Paz, J.P.; Saraceno, M. |
Filiación: | Departamento de Física j.J. Giambiagi, FCEN, UBA, Pabellón 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina Unidad de Actividad Física, Tandar, CNEA, Buenos Aires, Argentina
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Palabras clave: | algorithm; article; computer; mathematical computing; quantum mechanics; space |
Año: | 2002
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Volumen: | 297
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Número: | 5-6
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Página de inicio: | 353
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Página de fin: | 358
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DOI: |
http://dx.doi.org/10.1016/S0375-9601(02)00391-2 |
Título revista: | Physics Letters, Section A: General, Atomic and Solid State Physics
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Título revista abreviado: | Phys Lett Sect A Gen At Solid State Phys
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ISSN: | 03759601
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v297_n5-6_p353_Bianucci |
Referencias:
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Citas:
---------- APA ----------
Bianucci, P., Miquel, C., Paz, J.P. & Saraceno, M.
(2002)
. Discrete Wigner functions and the phase space representation of quantum computers. Physics Letters, Section A: General, Atomic and Solid State Physics, 297(5-6), 353-358.
http://dx.doi.org/10.1016/S0375-9601(02)00391-2---------- CHICAGO ----------
Bianucci, P., Miquel, C., Paz, J.P., Saraceno, M.
"Discrete Wigner functions and the phase space representation of quantum computers"
. Physics Letters, Section A: General, Atomic and Solid State Physics 297, no. 5-6
(2002) : 353-358.
http://dx.doi.org/10.1016/S0375-9601(02)00391-2---------- MLA ----------
Bianucci, P., Miquel, C., Paz, J.P., Saraceno, M.
"Discrete Wigner functions and the phase space representation of quantum computers"
. Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 297, no. 5-6, 2002, pp. 353-358.
http://dx.doi.org/10.1016/S0375-9601(02)00391-2---------- VANCOUVER ----------
Bianucci, P., Miquel, C., Paz, J.P., Saraceno, M. Discrete Wigner functions and the phase space representation of quantum computers. Phys Lett Sect A Gen At Solid State Phys. 2002;297(5-6):353-358.
http://dx.doi.org/10.1016/S0375-9601(02)00391-2