arXiv Analytics

Sign in

arXiv:1007.3655 [quant-ph]AbstractReferencesReviewsResources

Quantum error correction with degenerate codes for correlated noise

Giulio Chiribella, Michele Dall'Arno, Giacomo Mauro D'Ariano, Chiara Macchiavello, Paolo Perinotti

Published 2010-07-21, updated 2011-05-16Version 2

We introduce a quantum packing bound on the minimal resources required by nondegenerate error correction codes for any kind of noise. We prove that degenerate codes can outperform nondegenerate ones in the presence of correlated noise, by exhibiting examples where the quantum packing bound is violated.

Comments: 5 pages, published version
Journal: Phys. Rev. A 83, 052305 (2011)
Categories: quant-ph
Subjects: 03.67.Pp
Related articles: Most relevant | Search more
arXiv:quant-ph/0508228 (Published 2005-08-30, updated 2006-07-24)
Decoherence by Correlated Noise and Quantum Error Correction
arXiv:0710.1624 [quant-ph] (Published 2007-10-08, updated 2008-07-11)
Hamiltonian Formulation of Quantum Error Correction and Correlated Noise: The Effects Of Syndrome Extraction in the Long Time Limit
arXiv:quant-ph/0407262 (Published 2004-07-30)
Quantum error correction of coherent errors by randomization