Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems
Name
Mohseni-2009-Equation of motion f.pdf
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Author(s)
Rezakhani, A. T.
Mohseni, Masoud
Date Issued
July 2009
Journal
Physical Review A
Publisher
American Physical Society
Citation
Mohseni, M. , and A. T. Rezakhani. “Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems.” Physical Review A 80.1 (2009): 010101. (C) 2010 The American Physical Society.
Version
Final published version
Abstract
We develop a general approach for monitoring and controlling evolution of open quantum systems. In contrast to the master equations describing time evolution of density operators, here, we formulate a dynamical equation for the evolution of the process matrix acting on a system. This equation is applicable to non-Markovian and/or strong-coupling regimes. We propose two distinct applications for this dynamical equation. We first demonstrate identification of quantum Hamiltonians generating dynamics of closed or open systems via performing process tomography. In particular, we argue how one can efficiently estimate certain classes of sparse Hamiltonians by performing partial tomography schemes. In addition, we introduce an optimal control theoretic setting for manipulating quantum dynamics of Hamiltonian systems, specifically for the task of decoherence suppression.
MIT Department
Massachusetts Institute of Technology. Research Laboratory of Electronics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevA.80.010101
