English

Instrumental processes, entropies, information in quantum continual measurements

Quantum Physics 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/0401114,
  title  = {Instrumental processes, entropies, information in quantum continual measurements},
  author = {Alberto Barchielli and Giancarlo Lupieri},
  journal= {arXiv preprint arXiv:quant-ph/0401114},
  year   = {2007}
}

Comments

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

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