Communications in Information and Systems

Volume 11 (2011)

Number 3

Quantum filtering for systems driven by fermion fields

Pages: 237 – 268

DOI: https://dx.doi.org/10.4310/CIS.2011.v11.n3.a3

Authors

John E. Gough (Institute for Mathematics and Physics, Aberystwyth University, Wales, United Kingdom)

Madalin I. Guta (School of Mathematical Sciences, University of Nottingham, United Kingdom)

Matthew R James (School of Engineering, Australian National University, Canberra, ACT, Australia)

Hendra I. Nurdin (School of Engineering, Australian National University, Canberra, ACT, Australia)

Abstract

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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Published 30 March 2011