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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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 |
_version_ |
1782026660656185344 |