Quantum error correction for continuously detected errors.

File Size Format
23833_1.pdf 185Kb Adobe PDF View
Title Quantum error correction for continuously detected errors.
Author Ahn, Charlene; Wiseman, Howard Mark; Milburn, G. J.
Journal Name Physical Review A
Year Published 2003
Place of publication USA
Publisher American Physical Society
Abstract We show that quantum feedback control can be used as a quantum-error-correction process for errors induced by a weak continuous measurement. In particular, when the error model is restricted to one, perfectly measured, error channel per physical qubit, quantum feedback can act to perfectly protect a stabilizer codespace. Using the stabilizer formalism we derive an explicit scheme, involving feedback and an additional constant Hamiltonian, to protect an (n-1)-qubit logical state encoded in n physical qubits. This works for both Poisson (jump) and white-noise (diffusion) measurement processes. Universal quantum computation is also possible in this scheme. As an example, we show that detected-spontaneous emission error correction with a driving Hamiltonian can greatly reduce the amount of redundancy required to protect a state from that which has been previously postulated [e.g., Alber et al., Phys. Rev. Lett. 86, 4402 (2001)].
Peer Reviewed Yes
Published Yes
Publisher URI http://prola.aps.org/
Alternative URI http://dx.doi.org/10.1103/PhysRevA.67.052310
Copyright Statement Copyright 2003 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 67
Page from 052310.1
Page to 052310.11
ISSN 1050-2947
Date Accessioned 2004-03-29
Language en_AU
Research Centre Centre for Quantum Dynamics
Faculty Faculty of Science
Subject PRE2009-Theoretical Physics
URI http://hdl.handle.net/10072/6301
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

Show simple item record

Griffith University copyright notice