Continuous error correction

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...

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Autores principales: Paz, J.P., Zurek, W.H.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_13645021_v454_n1969_p355_Paz
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spelling todo:paper_13645021_v454_n1969_p355_Paz2023-10-03T16:10:54Z Continuous error correction Paz, J.P. Zurek, W.H. Corrective quantum jumps Error correction Master equation Stabilizer codes 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. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_13645021_v454_n1969_p355_Paz
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Corrective quantum jumps
Error correction
Master equation
Stabilizer codes
spellingShingle Corrective quantum jumps
Error correction
Master equation
Stabilizer codes
Paz, J.P.
Zurek, W.H.
Continuous error correction
topic_facet Corrective quantum jumps
Error correction
Master equation
Stabilizer codes
description 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.
format JOUR
author Paz, J.P.
Zurek, W.H.
author_facet Paz, J.P.
Zurek, W.H.
author_sort Paz, J.P.
title Continuous error correction
title_short Continuous error correction
title_full Continuous error correction
title_fullStr Continuous error correction
title_full_unstemmed Continuous error correction
title_sort continuous error correction
url http://hdl.handle.net/20.500.12110/paper_13645021_v454_n1969_p355_Paz
work_keys_str_mv AT pazjp continuouserrorcorrection
AT zurekwh continuouserrorcorrection
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