Phys. Rev. Lett. 94, 070405 (2005) [4 pages]Optimal Unravellings for Feedback Control in Linear Quantum SystemsReceived 13 August 2004; published 25 February 2005 For quantum systems with linear dynamics in phase space much of classical feedback control theory applies. However, there are some questions that are sensible only for the quantum case: Given a fixed interaction between the system and the environment what is the optimal measurement on the environment for a particular control problem? We show that for a broad class of optimal (state-based) control problems (the stationary linear-quadratic-Gaussian class), this question is a semidefinite program. Moreover, the answer also applies to Markovian (current-based) feedback. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.070405
DOI:
10.1103/PhysRevLett.94.070405
PACS:
03.65.Yz, 02.30.Yy, 42.50.Lc
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