Tracking an open quantum system using a finite state machine: Stability analysis

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Title Tracking an open quantum system using a finite state machine: Stability analysis
Author Karasik, Raisa; Wiseman, Howard Mark
Journal Name Physical Review A (Atomic, Molecular, and Optical Physics)
Year Published 2011
Place of publication United States
Publisher American Physical Society
Abstract A finite-dimensional Markovian open quantum system will undergo quantum jumps between pure states, if we can monitor the bath to which it is coupled with sufficient precision. In general these jumps, plus the between-jump evolution, create a trajectory which passes through infinitely many different pure states, even for ergodic systems. However, as shown recently by us [Phys. Rev. Lett. \textbf{106}, 020406 (2011)], it is possible to construct {\em adaptive} monitorings which restrict the system to jumping between a finite number of states. That is, it is possible to track the system using a {\em finite state machine} as the apparatus. In this paper we consider the question of the stability of these monitoring schemes. Restricting to cyclic jumps for a qubit, we give a strong analytical argument that these schemes are always stable, and supporting analytical and numerical evidence for the example of resonance fluorescence. This example also enables us to explore a range of behaviors in the evolution of individual trajectories, for several different monitoring schemes.
Peer Reviewed Yes
Published Yes
Alternative URI http://dx.doi.org/10.1103/PhysRevA.84.052120
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 5
Page from 052120-1
Page to 052120-16
ISSN 1094-1622
Date Accessioned 2011-12-16
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
URI http://hdl.handle.net/10072/42772
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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