Time-limited optimal dynamics beyond the quantum speed limit

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Time-limited optimal dynamics beyond the quantum speed limit

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Time-limited optimal dynamics beyond the quantum speed limit

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BH - Optika, masery a lasery

OECD FORD obor

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Projekt

<a href="/cs/project/GAP205%2F10%2F1657" target="_blank" >GAP205/10/1657: Kvantové čerpání ultrachladných atomů na mikročipech s aplikací v kvantové informatice</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review A

ISSN

1050-2947

e-ISSN

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Svazek periodika

92

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

7

Strana od-do

"062106-1"-"062106-7"

Kód UT WoS článku

000365772400002

EID výsledku v databázi Scopus

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