Quantum theory of multiple-input–multiple-output Markovian feedback with diffusive measurements

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Title Quantum theory of multiple-input–multiple-output Markovian feedback with diffusive measurements
Author Chia, Andy; Wiseman, Howard Mark
Journal Name Physical Review A
Year Published 2011
Place of publication United States
Publisher American Physical Society
Abstract Feedback control engineers have been interested in multiple-input–multiple-output (MIMO) extensions of single-input–single-output (SISO) results of various kinds due to its rich mathematical structure and practical applications. An outstanding problem in quantum feedback control is the extension of the SISO theory of Markovian feedback by Wiseman and Milburn [ Phys. Rev. Lett. 70 548 (1993)] to multiple inputs and multiple outputs. Here we generalize the SISO homodyne-mediated feedback theory to allow for multiple inputs, multiple outputs, and arbitrary diffusive quantum measurements. We thus obtain a MIMO framework which resembles the SISO theory and whose additional mathematical structure is highlighted by the extensive use of vector-operator algebra.
Peer Reviewed Yes
Published Yes
Alternative URI http://dx.doi.org/10.1103/PhysRevA.84.012120
Copyright Statement Copyright 2011 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 84
Issue Number 1
Page from 012120-1
Page to 012120-18
ISSN 1050-2947
Date Accessioned 2011-09-21
Language en_US
Research Centre Centre for Quantum Dynamics
Faculty Faculty of Science, Environment, Engineering and Technology
Subject Quantum Information, Computation and Communication; Quantum Optics; Quantum Physics
URI http://hdl.handle.net/10072/42236
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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