Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems
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 app...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/51366 |
| _version_ | 1826195312915513344 |
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| author | Rezakhani, A. T. Mohseni, Masoud |
| author2 | Massachusetts Institute of Technology. Research Laboratory of Electronics |
| author_facet | Massachusetts Institute of Technology. Research Laboratory of Electronics Rezakhani, A. T. Mohseni, Masoud |
| author_sort | Rezakhani, A. T. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T10:10:43Z |
| format | Article |
| id | mit-1721.1/51366 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:10:43Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/513662022-09-30T19:24:54Z Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems Rezakhani, A. T. Mohseni, Masoud Massachusetts Institute of Technology. Research Laboratory of Electronics Mohseni, Masoud Mohseni, Masoud 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. PIMS MITACS iCORE NSERC USC Center for Quantum Information Science and Technology 2010-02-05T14:43:03Z 2010-02-05T14:43:03Z 2009-07 2008-05 Article http://purl.org/eprint/type/JournalArticle 1094-1622 1050-2947 http://hdl.handle.net/1721.1/51366 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. en_US http://dx.doi.org/10.1103/PhysRevA.80.010101 Physical Review A 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. application/pdf American Physical Society APS |
| spellingShingle | Rezakhani, A. T. Mohseni, Masoud Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems |
| title | Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems |
| title_full | Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems |
| title_fullStr | Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems |
| title_full_unstemmed | Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems |
| title_short | Equation of motion for the process matrix: Hamiltonian identification and dynamical control of open quantum systems |
| title_sort | equation of motion for the process matrix hamiltonian identification and dynamical control of open quantum systems |
| url | http://hdl.handle.net/1721.1/51366 |
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