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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Detalles Bibliográficos
Autor principal: Paz, Juan Pablo
Publicado: 1998
Materias:
Corrective quantum jumps
Error correction
Master equation
Stabilizer codes
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13645021_v454_n1969_p355_Paz
http://hdl.handle.net/20.500.12110/paper_13645021_v454_n1969_p355_Paz
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_13645021_v454_n1969_p355_Paz
record_format dspace
spelling paper:paper_13645021_v454_n1969_p355_Paz2023-06-08T16:11:38Z Continuous error correction Paz, Juan Pablo 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. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13645021_v454_n1969_p355_Paz 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, Juan Pablo
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.
author Paz, Juan Pablo
author_facet Paz, Juan Pablo
author_sort Paz, Juan Pablo
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
publishDate 1998
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13645021_v454_n1969_p355_Paz
http://hdl.handle.net/20.500.12110/paper_13645021_v454_n1969_p355_Paz
work_keys_str_mv AT pazjuanpablo continuouserrorcorrection
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