Abstract:
We propose a new approach to study the evolution of a quantum state that is encoded in a system which is continuously subjected to the operations required to implement a quantum error-correcting code. In the limit of continuous error correction we introduce a Markovian master equation that includes the effects of: (a) Hamiltonian evolution; (b) errors caused by the interaction with an environment; and (c) errorcorrecting operations. The master equation is formally presented for all stabilizer codes and its solution is analysed for the simplest such code. © 1998 The Royal Society.
Registro:
Documento: |
Artículo
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Título: | Continuous error correction |
Autor: | Paz, J.P.; Zurek, W.H. |
Filiación: | Departamento de Fisica J.J. Giambiagi, FCEN, Ciudad Universitaria, Pabellôn 1, 1428 Buenos Aires, Argentina Theoretical Astrophysics, MSB288, Los Alamos National Laboratory, Los Alamos, NM 87545, United States
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Palabras clave: | Corrective quantum jumps; Error correction; Master equation; Stabilizer codes |
Año: | 1998
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Volumen: | 454
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Número: | 1969
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Página de inicio: | 355
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Página de fin: | 364
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DOI: |
http://dx.doi.org/10.1098/rspa.1998.0165 |
Título revista: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
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Título revista abreviado: | Proc. R. Soc. A Math. Phys. Eng. Sci.
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ISSN: | 13645021
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13645021_v454_n1969_p355_Paz |
Referencias:
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- Gottesman, D., (1997) Stabilizer Codes and Quantum Error Correction. Preprint, Quant-ph/9705052.
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- Paz, J.P., Zurek, W.H., (1998) In Preparation.
- Prcskill, J., (1997) Reliable Quantum Computers. Preprint, Quant-ph, p. 9705031
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Citas:
---------- APA ----------
Paz, J.P. & Zurek, W.H.
(1998)
. Continuous error correction. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 454(1969), 355-364.
http://dx.doi.org/10.1098/rspa.1998.0165---------- CHICAGO ----------
Paz, J.P., Zurek, W.H.
"Continuous error correction"
. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 454, no. 1969
(1998) : 355-364.
http://dx.doi.org/10.1098/rspa.1998.0165---------- MLA ----------
Paz, J.P., Zurek, W.H.
"Continuous error correction"
. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 454, no. 1969, 1998, pp. 355-364.
http://dx.doi.org/10.1098/rspa.1998.0165---------- VANCOUVER ----------
Paz, J.P., Zurek, W.H. Continuous error correction. Proc. R. Soc. A Math. Phys. Eng. Sci. 1998;454(1969):355-364.
http://dx.doi.org/10.1098/rspa.1998.0165