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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Autor principal: Paz, Juan Pablo
Publicado: 1998
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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
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Sumario: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.