Instrumental processes, entropies, information in quantum continual measurements

Details Instrumental processes, entropies, information in quantum continual measurements Instrumental processes, entropies, information in quantum continual measurements

2004-01-20

arxiv.org/abs/quant-ph/0401114v1

Quantum Information and Computation 4 (2004) 437-449

Physics

Quantum Physics

15 pages, requires Rinton-P9x6.cls. For the volume on the occasion of Alexander Holevo's 60th birthday

Scientific paper

In this paper we will give a short presentation of the quantum Levy-Khinchin formula and of the formulation of quantum continual measurements based on stochastic differential equations, matters which we had the pleasure to work on in collaboration with Prof. Holevo. Then we will begin the study of various entropies and relative entropies, which seem to be promising quantities for measuring the information content of the continual measurement under consideration and for analysing its asymptotic behaviour.

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