Control through operators for quantum chemistry

Philippe Laurent; Herschel Rabitz; Julien Salomon; Gabriel Turinici

doi:10.1109/CDC.2012.6427030

Control through operators for quantum chemistry

Philippe Laurent, Herschel Rabitz, Julien Salomon, Gabriel Turinici

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

We consider the problem of operator identification in quantum control. The free Hamiltonian and the dipole moment are searched such that a given target state is reached at a given time. A local existence result is obtained. As a by-product, our works reveals necessary conditions on the laser field to make the identification feasible. In the last part of this work, some Newton algorithms are proposed together with a continuation method to compute effectively these operators.

Original language	English (US)
Article number	6427030
Pages (from-to)	1663-1667
Number of pages	5
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/CDC.2012.6427030
State	Published - 2012
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: Dec 10 2012 → Dec 13 2012

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2012.6427030

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title = "Control through operators for quantum chemistry",

abstract = "We consider the problem of operator identification in quantum control. The free Hamiltonian and the dipole moment are searched such that a given target state is reached at a given time. A local existence result is obtained. As a by-product, our works reveals necessary conditions on the laser field to make the identification feasible. In the last part of this work, some Newton algorithms are proposed together with a continuation method to compute effectively these operators.",

author = "Philippe Laurent and Herschel Rabitz and Julien Salomon and Gabriel Turinici",

year = "2012",

doi = "10.1109/CDC.2012.6427030",

language = "English (US)",

pages = "1663--1667",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0743-1546",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "51st IEEE Conference on Decision and Control, CDC 2012 ; Conference date: 10-12-2012 Through 13-12-2012",

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T1 - Control through operators for quantum chemistry

AU - Laurent, Philippe

AU - Rabitz, Herschel

AU - Salomon, Julien

AU - Turinici, Gabriel

PY - 2012

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AB - We consider the problem of operator identification in quantum control. The free Hamiltonian and the dipole moment are searched such that a given target state is reached at a given time. A local existence result is obtained. As a by-product, our works reveals necessary conditions on the laser field to make the identification feasible. In the last part of this work, some Newton algorithms are proposed together with a continuation method to compute effectively these operators.

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U2 - 10.1109/CDC.2012.6427030

DO - 10.1109/CDC.2012.6427030

M3 - Conference article

AN - SCOPUS:84874271117

SN - 0743-1546

SP - 1663

EP - 1667

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

M1 - 6427030

T2 - 51st IEEE Conference on Decision and Control, CDC 2012

Y2 - 10 December 2012 through 13 December 2012

ER -

Control through operators for quantum chemistry

Abstract

All Science Journal Classification (ASJC) codes

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