Instruments and mutual entropies in quantum information

Details Instruments and mutual entropies in quantum information Instruments and mutual entropies in quantum information

2004-12-15

arxiv.org/abs/quant-ph/0412116v1

Banach Center Publications 73 (2006) 65-80

Physics

Quantum Physics

LaTeX, requires macros in mypreprint.sty, 16 pages. Submitted to Proceedings of the 25th Conference on "Quantum Probability an

Scientific paper

General quantum measurements are represented by instruments. In this paper the mathematical formalization is given of the idea that an instrument is a channel which accepts a quantum state as input and produces a probability and an a posteriori state as output. Then, by using mutual entropies on von Neumann algebras and the identification of instruments and channels, many old and new informational inequalities are obtained in a unified manner. Such inequalities involve various quantities which characterize the performances of the instrument under study; in particular, these inequalities include and generalize the famous Holevo's bound.

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