Constructive control of a spin system via periodic control

Vish Ramakrishna; Raimund J. Ober; Kathryn L. Flores; Herschel Rabitz

doi:10.1109/CDC.2001.980115

Constructive control of a spin system via periodic control

Vish Ramakrishna, Raimund J. Ober, Kathryn L. Flores, Herschel Rabitz

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3 Scopus citations

Abstract

Constructive procedures for the control of a class of coupled spin systems with bounded amplitude sinusoidal pulses are described. Full details are first illustrated for a single spin 1/2 particle. The key steps for a pair of such particles are then sketched. The fact that the amplitudes can be arbitrarily bounded implies that the separation between the Larmor frequencies of the individual spin 1/2 particles can be quite small and yet the system can be controlled by addressing each spin individually.

Original language	English (US)
Pages (from-to)	292-297
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	1
DOIs	https://doi.org/10.1109/CDC.2001.980115
State	Published - 2001

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2001.980115

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abstract = "Constructive procedures for the control of a class of coupled spin systems with bounded amplitude sinusoidal pulses are described. Full details are first illustrated for a single spin 1/2 particle. The key steps for a pair of such particles are then sketched. The fact that the amplitudes can be arbitrarily bounded implies that the separation between the Larmor frequencies of the individual spin 1/2 particles can be quite small and yet the system can be controlled by addressing each spin individually.",

author = "Vish Ramakrishna and Ober, {Raimund J.} and Flores, {Kathryn L.} and Herschel Rabitz",

year = "2001",

doi = "10.1109/CDC.2001.980115",

language = "English (US)",

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

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AU - Ramakrishna, Vish

AU - Ober, Raimund J.

AU - Flores, Kathryn L.

AU - Rabitz, Herschel

PY - 2001

Y1 - 2001

N2 - Constructive procedures for the control of a class of coupled spin systems with bounded amplitude sinusoidal pulses are described. Full details are first illustrated for a single spin 1/2 particle. The key steps for a pair of such particles are then sketched. The fact that the amplitudes can be arbitrarily bounded implies that the separation between the Larmor frequencies of the individual spin 1/2 particles can be quite small and yet the system can be controlled by addressing each spin individually.

AB - Constructive procedures for the control of a class of coupled spin systems with bounded amplitude sinusoidal pulses are described. Full details are first illustrated for a single spin 1/2 particle. The key steps for a pair of such particles are then sketched. The fact that the amplitudes can be arbitrarily bounded implies that the separation between the Larmor frequencies of the individual spin 1/2 particles can be quite small and yet the system can be controlled by addressing each spin individually.

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EP - 297

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

Constructive control of a spin system via periodic control

Abstract

All Science Journal Classification (ASJC) codes

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