Please use this identifier to cite or link to this item: https://doi.org/10.1007/978-3-642-10698-9_7
Title: Conditions for the approximate correction of algebras
Authors: Bény, C. 
Issue Date: 2009
Citation: Bény, C. (2009). Conditions for the approximate correction of algebras. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 5906 LNCS : 66-75. ScholarBank@NUS Repository. https://doi.org/10.1007/978-3-642-10698-9_7
Abstract: We study the approximate correctability of general algebras of observables, which represent hybrid quantum-classical information. This includes approximate quantum error correcting codes and subsystems codes. We show that the main result of [1] yields a natural generalization of the Knill-Laflamme conditions in the form of a dimension independent estimate of the optimal reconstruction error for a given encoding, measured using the trace-norm distance to a noiseless channel. © 2009 Springer-Verlag.
Source Title: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
URI: http://scholarbank.nus.edu.sg/handle/10635/115396
ISBN: 3642106978
ISSN: 03029743
DOI: 10.1007/978-3-642-10698-9_7
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