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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 |
| Appears in Collections: | Staff Publications |
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