Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems
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 nonMarkovian and/or strongcoupling 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.
 Authors:

 Research Laboratory of Electronics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139 (United States)
 Department of Chemistry and Center for Quantum Information Science and Technology, University of Southern California, Los Angeles, California 90089 (United States)
 Publication Date:
 OSTI Identifier:
 21313164
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. A
 Additional Journal Information:
 Journal Volume: 80; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.80.010101; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 10502947
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; EQUATIONS OF MOTION; EVOLUTION; HAMILTONIANS; MARKOV PROCESS; MATRICES; OPTIMAL CONTROL; QUANTUM COMPUTERS; TOMOGRAPHY
Citation Formats
Mohseni, M, and Rezakhani, A T. Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems. United States: N. p., 2009.
Web. doi:10.1103/PHYSREVA.80.010101.
Mohseni, M, & Rezakhani, A T. Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems. United States. https://doi.org/10.1103/PHYSREVA.80.010101
Mohseni, M, and Rezakhani, A T. Wed .
"Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems". United States. https://doi.org/10.1103/PHYSREVA.80.010101.
@article{osti_21313164,
title = {Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems},
author = {Mohseni, M and Rezakhani, A T},
abstractNote = {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 nonMarkovian and/or strongcoupling 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.},
doi = {10.1103/PHYSREVA.80.010101},
url = {https://www.osti.gov/biblio/21313164},
journal = {Physical Review. A},
issn = {10502947},
number = 1,
volume = 80,
place = {United States},
year = {2009},
month = {7}
}