Quantum filtering for systems driven by fermion fields

Details Quantum filtering for systems driven by fermion fields Quantum filtering for systems driven by fermion fields

2010-11-17

arxiv.org/abs/1011.3900v1

Physics

Quantum Physics

23 pages, 6 figures. To appear in Communications in Information and Systems (http://www.intlpress.com/CIS/) - Special issue fo

Scientific paper

Recent developments in quantum technology mean that is it now possible to manipulate systems and measure fermion fields (e.g. reservoirs of electrons) at the quantum level. This progress has motivated some recent work on filtering theory for quantum systems driven by fermion fields by Korotkov, Milburn and others. The purpose of this paper is to develop fermion filtering theory using the fermion quantum stochastic calculus. We explain that this approach has close connections to the classical filtering theory that is a fundamental part of the systems and control theory that has developed over the past 50 years.

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