Quantum optimal quantum control field design using logarithmic maps

Julie S. Biteen; J. M. Geremia; Herschel Rabitz

doi:10.1016/S0009-2614(01)01144-7

Quantum optimal quantum control field design using logarithmic maps

Julie S. Biteen, J. M. Geremia, Herschel Rabitz

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A mapping technique is introduced to expand the capabilities of current control field design procedures. The maps relate the control field to the logarithm of the time evolution operator. Over the dynamic range of the maps, which begins at the sudden limit and extends beyond, they are found to be more accurate than field→observable maps. The maps may be used as part of an iterative computational algorithm for field design. This process is illustrated for the design of a field to meet a population transfer objective.

Original language	English (US)
Pages (from-to)	440-446
Number of pages	7
Journal	Chemical Physics Letters
Volume	348
Issue number	5-6
DOIs	https://doi.org/10.1016/S0009-2614(01)01144-7
State	Published - Nov 16 2001

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1016/S0009-2614(01)01144-7

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abstract = "A mapping technique is introduced to expand the capabilities of current control field design procedures. The maps relate the control field to the logarithm of the time evolution operator. Over the dynamic range of the maps, which begins at the sudden limit and extends beyond, they are found to be more accurate than field→observable maps. The maps may be used as part of an iterative computational algorithm for field design. This process is illustrated for the design of a field to meet a population transfer objective.",

author = "Biteen, {Julie S.} and Geremia, {J. M.} and Herschel Rabitz",

note = "Funding Information: The authors acknowledge support from the NSF and the DOD.",

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AU - Biteen, Julie S.

AU - Geremia, J. M.

AU - Rabitz, Herschel

N1 - Funding Information: The authors acknowledge support from the NSF and the DOD.

PY - 2001/11/16

Y1 - 2001/11/16

N2 - A mapping technique is introduced to expand the capabilities of current control field design procedures. The maps relate the control field to the logarithm of the time evolution operator. Over the dynamic range of the maps, which begins at the sudden limit and extends beyond, they are found to be more accurate than field→observable maps. The maps may be used as part of an iterative computational algorithm for field design. This process is illustrated for the design of a field to meet a population transfer objective.

AB - A mapping technique is introduced to expand the capabilities of current control field design procedures. The maps relate the control field to the logarithm of the time evolution operator. Over the dynamic range of the maps, which begins at the sudden limit and extends beyond, they are found to be more accurate than field→observable maps. The maps may be used as part of an iterative computational algorithm for field design. This process is illustrated for the design of a field to meet a population transfer objective.

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JF - Chemical Physics Letters

IS - 5-6

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Quantum optimal quantum control field design using logarithmic maps

Abstract

All Science Journal Classification (ASJC) codes

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