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