Quantum speed limit and optimal evolution time in a two-level system
Quantum mechanics establishes a fundamental bound for the minimum evolution time between two states of a given system. Known as the quantum speed limit (QSL), it is a useful tool in the context of quantum control, where the speed of some control protocol is usually intended to be as large as possibl...
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todo:paper_02955075_v104_n4_p_Poggi2023-10-03T15:17:20Z Quantum speed limit and optimal evolution time in a two-level system Poggi, P.M. Lombardo, F.C. Wisniacki, D.A. Quantum mechanics establishes a fundamental bound for the minimum evolution time between two states of a given system. Known as the quantum speed limit (QSL), it is a useful tool in the context of quantum control, where the speed of some control protocol is usually intended to be as large as possible. While QSL expressions for time-independent Hamiltonians have been well studied, the time-dependent regime has remained somewhat unexplored, albeit being usually the relevant problem to be compared with when studying systems controlled by external fields. In this paper we explore the relation between optimal times found in quantum control and the QSL bound, in the (relevant) time-dependent regime, by discussing the ubiquitous two-level Landau-Zener-type Hamiltonian. © 2013 EPLA. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02955075_v104_n4_p_Poggi |
| institution |
Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
Quantum mechanics establishes a fundamental bound for the minimum evolution time between two states of a given system. Known as the quantum speed limit (QSL), it is a useful tool in the context of quantum control, where the speed of some control protocol is usually intended to be as large as possible. While QSL expressions for time-independent Hamiltonians have been well studied, the time-dependent regime has remained somewhat unexplored, albeit being usually the relevant problem to be compared with when studying systems controlled by external fields. In this paper we explore the relation between optimal times found in quantum control and the QSL bound, in the (relevant) time-dependent regime, by discussing the ubiquitous two-level Landau-Zener-type Hamiltonian. © 2013 EPLA. |
| format |
JOUR |
| author |
Poggi, P.M. Lombardo, F.C. Wisniacki, D.A. |
| spellingShingle |
Poggi, P.M. Lombardo, F.C. Wisniacki, D.A. Quantum speed limit and optimal evolution time in a two-level system |
| author_facet |
Poggi, P.M. Lombardo, F.C. Wisniacki, D.A. |
| author_sort |
Poggi, P.M. |
| title |
Quantum speed limit and optimal evolution time in a two-level system |
| title_short |
Quantum speed limit and optimal evolution time in a two-level system |
| title_full |
Quantum speed limit and optimal evolution time in a two-level system |
| title_fullStr |
Quantum speed limit and optimal evolution time in a two-level system |
| title_full_unstemmed |
Quantum speed limit and optimal evolution time in a two-level system |
| title_sort |
quantum speed limit and optimal evolution time in a two-level system |
| url |
http://hdl.handle.net/20.500.12110/paper_02955075_v104_n4_p_Poggi |
| work_keys_str_mv |
AT poggipm quantumspeedlimitandoptimalevolutiontimeinatwolevelsystem AT lombardofc quantumspeedlimitandoptimalevolutiontimeinatwolevelsystem AT wisniackida quantumspeedlimitandoptimalevolutiontimeinatwolevelsystem |
| _version_ |
1807322822823903232 |