Further results on the observability of quantum systems under general measurement

Details Further results on the observability of quantum systems under general measurement Further results on the observability of quantum systems under general measurement

2005-09-07

arxiv.org/abs/quant-ph/0509054v1

Physics

Quantum Physics

16 pages

Scientific paper

In this paper, we present a collection of results on the observability of quantum mechanical systems, in the case the output is the result of a discrete nonselective measurement. By defining an effective observable we extend previous results, on the Lie algebraic characterization of observable systems, to general measurements. Further results include the characterization of a `best probe' (i.e. a minimally disturbing probe) in indirect measurement and a study of the relation between disturbance and observability in this case. We also discuss how the observability properties of a quantum system relate to the problem of state reconstruction. Extensions of the formalism to the case of selective measurements are also given.

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