Data di Pubblicazione:
2006
Citazione:
Quantum measurements and entropic bounds on
information transmission / A. Barchielli, G.Lupieri. - In: QUANTUM INFORMATION & COMPUTATION. - ISSN 1533-7146. - 6:1(2006), pp. 016-045.
Abstract:
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 (the bounds by Holevo, by Shumacher, Westmoreland and Wootters, by Hall, by Scutaru, a new upper bound and a new lower one). Some examples clarify the mutual relationships among the various bounds.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Instrument, Channel, Quantum Information, Entropy, Mutual Entropy Holevo bound
Elenco autori:
A. Barchielli, G. Lupieri
Link alla scheda completa: