Entropy of a quantum error correction code
| dc.creator | Kribs, David W. | |
| dc.creator | Pasieka, Aron | |
| dc.creator | Zyczkowski, Karol | |
| dc.date | 2008-11-11 | |
| dc.date.accessioned | 2026-07-07T12:45:21Z | |
| dc.date.available | 2026-07-07T12:45:21Z | |
| dc.description | We define and investigate a notion of entropy for quantum error correcting codes. The entropy of a code for a given quantum channel has a number of equivalent realisations, such as through the coefficients associated with the Knill-Laflamme conditions and the entropy exchange computed with respect to any initial state supported on the code. In general the entropy of a code can be viewed as a measure of how close it is to the minimal entropy case, which is given by unitarily correctable codes (including decoherence-free subspaces), or the maximal entropy case, which from dynamical Choi matrix considerations corresponds to non-degenerate codes. We consider several examples, including a detailed analysis in the case of binary unitary channels, and we discuss an extension of the entropy to operator quantum error correcting subsystem codes. | |
| dc.description | 13 pages, 1 figure, to appear in Open Systems & Information Dynamics | |
| dc.identifier | https://arxiv.org/abs/0811.1621 | |
| dc.identifier | http://arxiv.org/abs/0811.1621 | |
| dc.identifier | Open Syst. Inf. Dyn. 15, 329-343 (2008). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221058 | |
| dc.subject | Quantum Physics | |
| dc.title | Entropy of a quantum error correction code | |
| dc.type | text |