Complexity of controlling quantum many-body dynamics
We demonstrate that arbitrary time evolutions of many-body quantum systems can be reversed even in cases when only part of the Hamiltonian can be controlled. The reversed dynamics obtained via optimal control—contrary to standard time-reversal procedures—is extremely robust to external sources of no...
| Main Authors: | , , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/88708 |
| _version_ | 1826206660774854656 |
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| author | Caneva, T. Silva, A. Fazio, R. Lloyd, Seth Calarco, T. Montangero, S. |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Caneva, T. Silva, A. Fazio, R. Lloyd, Seth Calarco, T. Montangero, S. |
| author_sort | Caneva, T. |
| collection | MIT |
| description | We demonstrate that arbitrary time evolutions of many-body quantum systems can be reversed even in cases when only part of the Hamiltonian can be controlled. The reversed dynamics obtained via optimal control—contrary to standard time-reversal procedures—is extremely robust to external sources of noise. We provide a lower bound on the control complexity of a many-body quantum dynamics in terms of the dimension of the manifold supporting it, elucidating the role played by integrability in this context. |
| first_indexed | 2024-09-23T13:36:16Z |
| format | Article |
| id | mit-1721.1/88708 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:36:16Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/887082022-10-01T15:57:31Z Complexity of controlling quantum many-body dynamics Caneva, T. Silva, A. Fazio, R. Lloyd, Seth Calarco, T. Montangero, S. Massachusetts Institute of Technology. Department of Mechanical Engineering Lloyd, Seth We demonstrate that arbitrary time evolutions of many-body quantum systems can be reversed even in cases when only part of the Hamiltonian can be controlled. The reversed dynamics obtained via optimal control—contrary to standard time-reversal procedures—is extremely robust to external sources of noise. We provide a lower bound on the control complexity of a many-body quantum dynamics in terms of the dimension of the manifold supporting it, elucidating the role played by integrability in this context. European Union (SIQS, & PICC, SOLID) German Research Foundation (SFB/TRR21) National Science Foundation (U.S.) (Grant No. NSF PHY11-25915) 2014-08-15T13:56:45Z 2014-08-15T13:56:45Z 2014-04 2013-12 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/88708 Caneva, T., A. Silva, R. Fazio, S. Lloyd, T. Calarco, and S. Montangero. “Complexity of Controlling Quantum Many-Body Dynamics.” Phys. Rev. A 89, no. 4 (April 2014). ©2014 American Physical Society. en_US http://dx.doi.org/10.1103/PhysRevA.89.042322 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 American Physical Society |
| spellingShingle | Caneva, T. Silva, A. Fazio, R. Lloyd, Seth Calarco, T. Montangero, S. Complexity of controlling quantum many-body dynamics |
| title | Complexity of controlling quantum many-body dynamics |
| title_full | Complexity of controlling quantum many-body dynamics |
| title_fullStr | Complexity of controlling quantum many-body dynamics |
| title_full_unstemmed | Complexity of controlling quantum many-body dynamics |
| title_short | Complexity of controlling quantum many-body dynamics |
| title_sort | complexity of controlling quantum many body dynamics |
| url | http://hdl.handle.net/1721.1/88708 |
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