ANALYSIS OF LOWER BOUNDS FOR QUANTUM CONTROL TIMES AND THEIRRELATION TO THE QUANTUM SPEED LIMIT
Limitations to the speed of evolution of quantum systems, typically referred to as quantum speed limits (QSLs), have important consequences for quantum control problems. However, in its standard formulation, is not straightforward to obtain meaningful QSL bounds for time-dependent Hamiltonians with...
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| Format: | Article |
| Language: | Spanish |
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CEILAP-UNIDEF-CONICET-CITEDEF
2020-04-01
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| Series: | Anales (Asociación Física Argentina) |
| Subjects: | |
| Online Access: | https://anales.fisica.org.ar/index.php/analesafa/article/view/2254/2581 |
| _version_ | 1797729046482649088 |
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| author | P. M. Poggi |
| author_facet | P. M. Poggi |
| author_sort | P. M. Poggi |
| collection | DOAJ |
| description | Limitations to the speed of evolution of quantum systems, typically referred to as quantum speed limits (QSLs), have important consequences for quantum control problems. However, in its standard formulation, is not straightforward to obtain meaningful QSL bounds for time-dependent Hamiltonians with unknown control parameters. In this paper we present a short introductory overview of quantum speed limit for unitary dynamics and its connection to quantum control. We then analyze potential methods for obtaining new bounds on control times inspired by the QSL. We finally extend the work in [Poggi, Lombardo and WisniackiEPL104 40005 (2013)] by studying the properties and limitations of these new bounds in the context of a driven two-level quantum system. |
| first_indexed | 2024-03-12T11:23:18Z |
| format | Article |
| id | doaj.art-a02fca71179a46639cb4ece47e621063 |
| institution | Directory Open Access Journal |
| issn | 0327-358X 1850-1168 |
| language | Spanish |
| last_indexed | 2024-03-12T11:23:18Z |
| publishDate | 2020-04-01 |
| publisher | CEILAP-UNIDEF-CONICET-CITEDEF |
| record_format | Article |
| series | Anales (Asociación Física Argentina) |
| spelling | doaj.art-a02fca71179a46639cb4ece47e6210632023-09-01T14:14:10ZspaCEILAP-UNIDEF-CONICET-CITEDEFAnales (Asociación Física Argentina)0327-358X1850-11682020-04-013112938https://doi.org/10.31527/analesafa.2020.31.1.29ANALYSIS OF LOWER BOUNDS FOR QUANTUM CONTROL TIMES AND THEIRRELATION TO THE QUANTUM SPEED LIMITP. M. Poggi01Departamento de Física “J. J. Giambiagi” and IFIBA, FCEyN, Universidad de Buenos Aires,Ciudad Universitaria, Int. Güiraldes 2160, Buenos Aires, CABA, C1428EGA, Argentina.2Center for Quantum Information and Control (CQuIC), Department of Physics and Astronomy, University of New Mexico,Albuquerque, New Mexico 87131, USA.Limitations to the speed of evolution of quantum systems, typically referred to as quantum speed limits (QSLs), have important consequences for quantum control problems. However, in its standard formulation, is not straightforward to obtain meaningful QSL bounds for time-dependent Hamiltonians with unknown control parameters. In this paper we present a short introductory overview of quantum speed limit for unitary dynamics and its connection to quantum control. We then analyze potential methods for obtaining new bounds on control times inspired by the QSL. We finally extend the work in [Poggi, Lombardo and WisniackiEPL104 40005 (2013)] by studying the properties and limitations of these new bounds in the context of a driven two-level quantum system.https://anales.fisica.org.ar/index.php/analesafa/article/view/2254/2581quantum informationquantum control |
| spellingShingle | P. M. Poggi ANALYSIS OF LOWER BOUNDS FOR QUANTUM CONTROL TIMES AND THEIRRELATION TO THE QUANTUM SPEED LIMIT Anales (Asociación Física Argentina) quantum information quantum control |
| title | ANALYSIS OF LOWER BOUNDS FOR QUANTUM CONTROL TIMES AND THEIRRELATION TO THE QUANTUM SPEED LIMIT |
| title_full | ANALYSIS OF LOWER BOUNDS FOR QUANTUM CONTROL TIMES AND THEIRRELATION TO THE QUANTUM SPEED LIMIT |
| title_fullStr | ANALYSIS OF LOWER BOUNDS FOR QUANTUM CONTROL TIMES AND THEIRRELATION TO THE QUANTUM SPEED LIMIT |
| title_full_unstemmed | ANALYSIS OF LOWER BOUNDS FOR QUANTUM CONTROL TIMES AND THEIRRELATION TO THE QUANTUM SPEED LIMIT |
| title_short | ANALYSIS OF LOWER BOUNDS FOR QUANTUM CONTROL TIMES AND THEIRRELATION TO THE QUANTUM SPEED LIMIT |
| title_sort | analysis of lower bounds for quantum control times and theirrelation to the quantum speed limit |
| topic | quantum information quantum control |
| url | https://anales.fisica.org.ar/index.php/analesafa/article/view/2254/2581 |
| work_keys_str_mv | AT pmpoggi analysisoflowerboundsforquantumcontroltimesandtheirrelationtothequantumspeedlimit |