In:
Open Systems & Information Dynamics, World Scientific Pub Co Pte Ltd, Vol. 15, No. 04 ( 2008-12), p. 329-343
Abstract:
We define and investigate the 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 of the case of binary unitary channels, and we discuss an extension of the entropy to operator quantum error correcting subsystem codes.
Type of Medium:
Online Resource
ISSN:
1230-1612
,
1793-7191
DOI:
10.1142/S1230161208000225
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2008
detail.hit.zdb_id:
2008114-5
SSG:
11
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