Quantum measurements and entropic bounds on information transmission
| dc.creator | Barchielli, Alberto | |
| dc.creator | Lupieri, Giancarlo | |
| dc.date | 2005-05-12 | |
| dc.date.accessioned | 2026-07-07T06:34:12Z | |
| dc.date.available | 2026-07-07T06:34:12Z | |
| dc.description | While a positive operator valued measure gives the probabilities in a quantum measurement, an instrument gives both the probabilities and the a posteriori states. By interpreting the instrument as a quantum channel and by using the monotonicity theorem for relative entropies many bounds on the classical information extracted in a quantum measurement are obtained in a unified manner. In particular, it is shown that such bounds can all be stated as inequalities between mutual entropies. This approach based on channels gives rise to a unified picture of known and new bounds on the classical information (Holevo's, Shumacher-Westmoreland-Wootters', Hall's, Scutaru's bounds, a new upper bound and a new lower one). Some examples clarify the mutual relationships among the various bounds. | |
| dc.description | 29 pages, 2 figures, uses qic.sty | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0505090 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0505090 | |
| dc.identifier | Quantum Information and Computation 6 (2006) 16-45 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99453 | |
| dc.subject | Quantum Physics | |
| dc.title | Quantum measurements and entropic bounds on information transmission | |
| dc.type | text |