Complete parametrizations of diffusive quantum monitorings

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Chia, A
Wiseman, HM
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2011
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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.

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Physical Review A
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84
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1
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© 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.
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Mathematical sciences
Physical sciences
Quantum information, computation and communication
Quantum optics and quantum optomechanics
Quantum physics not elsewhere classified
Chemical sciences
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