Efficient feedback controllers for continuous-time quantum error correction

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dc.creatorChase, Bradley A.
dc.creatorLandahl, Andrew J.
dc.creatorGeremia, J. M.
dc.date2007-11-05
dc.date2008-03-07
dc.date.accessioned2026-07-07T09:25:05Z
dc.date.available2026-07-07T09:25:05Z
dc.descriptionWe present an efficient approach to continuous-time quantum error correction that extends the low-dimensional quantum filtering methodology developed by van Handel and Mabuchi [quant-ph/0511221 (2005)] to include error recovery operations in the form of real-time quantum feedback. We expect this paradigm to be useful for systems in which error recovery operations cannot be applied instantaneously. While we could not find an exact low-dimensional filter that combined both continuous syndrome measurement and a feedback Hamiltonian appropriate for error recovery, we developed an approximate reduced-dimensional model to do so. Simulations of the five-qubit code subjected to the symmetric depolarizing channel suggests that error correction based on our approximate filter performs essentially identically to correction based on an exact quantum dynamical model.
dc.identifierhttps://arxiv.org/abs/0711.0689
dc.identifierhttp://arxiv.org/abs/0711.0689
dc.identifierPhys. Rev. A 77, 032304 (2008)
dc.identifierdoi:10.1103/PhysRevA.77.032304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156292
dc.subjectQuantum Physics
dc.titleEfficient feedback controllers for continuous-time quantum error correction
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