Entropy and optimal decompositions of states relative to a maximal commutative subalgebra
| dc.creator | Uhlmann, Armin | |
| dc.date | 1997-04-08 | |
| dc.date | 1998-03-25 | |
| dc.date.accessioned | 2026-07-07T09:09:01Z | |
| dc.date.available | 2026-07-07T09:09:01Z | |
| dc.description | To calculate the entropy of a subalgebra or of a channel with respect to a state, one has to solve an intriguing optimalization problem. The latter is also the key part in the entanglement of formation concept, in which case the subalgebra is a subfactor. I consider some general properties, valid for these definitions in finite dimensions, and apply them to a maximal commutative subalgebra of a full matrix algebra. The main method is an interplay between convexity and symmetry. A collection of helpful tools from convex analysis for the problems in question is collected in an appendix. | |
| dc.description | 20 pages, latex, no figures. Some calculations and reasonings are done in more detail. I have to thank an unknown referee for asking me to do so. Misprints, if detected, are corrected. To be published in: Open Systems & Information Dynamics | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9704017 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9704017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150928 | |
| dc.subject | Quantum Physics | |
| dc.title | Entropy and optimal decompositions of states relative to a maximal commutative subalgebra | |
| dc.type | text |