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  • State and dynamical parameter estimation for open quantum systems

    Author(s)
    Gambetta, J
    Wiseman, HM
    Griffith University Author(s)
    Wiseman, Howard M.
    Year published
    2001
    Metadata
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    Abstract
    Following evolution of an open quantum system one requires full knowledge of its dynamics. In this paper we consider open quantum systems for which the Hamiltonian is "uncertain." In particular, we treat in detail a simple system similar to that considered by Mabuchi [Quant. Semiclass. Opt. 8, 1103 (1996)]: a radiatively damped atom driven by an unknown Rabi frequency O (as would occur for an atom at an unknown point in a standing light wave). By measuring the environment of the system, knowledge about the system state, and about the uncertain dynamical parameter, can be acquired. We find that these two sorts of knowledge ...
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    Following evolution of an open quantum system one requires full knowledge of its dynamics. In this paper we consider open quantum systems for which the Hamiltonian is "uncertain." In particular, we treat in detail a simple system similar to that considered by Mabuchi [Quant. Semiclass. Opt. 8, 1103 (1996)]: a radiatively damped atom driven by an unknown Rabi frequency O (as would occur for an atom at an unknown point in a standing light wave). By measuring the environment of the system, knowledge about the system state, and about the uncertain dynamical parameter, can be acquired. We find that these two sorts of knowledge acquisition (quantified by the posterior distribution for O, and the conditional purity of the system, respectively) are quite distinct processes, which are not strongly correlated. Also, the quality and quantity of knowledge gain depend strongly on the type of monitoring scheme. We compare five different detection schemes (direct, adaptive, homodyne of the x quadrature, homodyne of the y quadrature, and heterodyne) using four different measures of the knowledge gain (Shannon information about O, variance in O, long-time system purity, and short-time system purity).
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    Journal Title
    Physical Review A: Atomic, Molecular and Optical Physics
    Volume
    64
    Issue
    4
    Publisher URI
    http://prola.aps.org/abstract/PRA/v64/i4/e042105
    DOI
    https://doi.org/10.1103/PhysRevA.64.042105
    Copyright Statement
    © 2001 American Physical Society. Reproduced in accordance with the copyright policy of the publisher. This journal is available online - use hypertext links.
    Subject
    Mathematical sciences
    Physical sciences
    Chemical sciences
    Publication URI
    http://hdl.handle.net/10072/3767
    Collection
    • Journal articles

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