Time-limited optimal dynamics beyond the quantum speed limit
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33155097" target="_blank" >RIV/61989592:15310/15:33155097 - isvavai.cz</a>
Result on the web
<a href="http://journals.aps.org/pra/pdf/10.1103/PhysRevA.92.062106" target="_blank" >http://journals.aps.org/pra/pdf/10.1103/PhysRevA.92.062106</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.92.062106" target="_blank" >10.1103/PhysRevA.92.062106</a>
Alternative languages
Result language
angličtina
Original language name
Time-limited optimal dynamics beyond the quantum speed limit
Original language description
The quantum speed limit sets the minimum time required to transfer a quantum system completely into a given target state. At shorter times the higher operation speed results in a loss of fidelity. Here we quantify the trade-off between the fidelity and the duration in a system driven by a time-varying control. The problem is addressed in the framework of Hilbert space geometry offering an intuitive interpretation of optimal control algorithms. This approach leads to a necessary criterion for control optimality applicable as a measure of algorithm convergence. The time fidelity trade-off expressed in terms of the direct Hilbert velocity provides a robust prediction of the quantum speed limit and allows one to adapt the control optimization such that ityields a predefined fidelity. The results are verified numerically in a multilevel system with a constrained Hamiltonian and a classification scheme for the control sequences is proposed based on their optimizability.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BH - Optics, masers and lasers
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP205%2F10%2F1657" target="_blank" >GAP205/10/1657: Quantum pumping of ultracold atoms and applications in Quantum Information</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review A
ISSN
1050-2947
e-ISSN
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Volume of the periodical
92
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
7
Pages from-to
"062106-1"-"062106-7"
UT code for WoS article
000365772400002
EID of the result in the Scopus database
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