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Constructive control of a spin system via periodic control

Constructive control of a spin system via periodic control
Constructive control of a spin system via periodic control

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.

292-297
Institute of Electrical and Electronics Engineers Inc.
Ramakrishna, Vish
83f1325c-f329-4d64-bae7-ddf6a6def840
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Flores, Kathryn L.
59c6c289-0880-4827-8bff-3027053af715
Rabitz, Herschel
3e81aa62-a017-448f-a82a-8cf03df52899
Ramakrishna, Vish
83f1325c-f329-4d64-bae7-ddf6a6def840
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Flores, Kathryn L.
59c6c289-0880-4827-8bff-3027053af715
Rabitz, Herschel
3e81aa62-a017-448f-a82a-8cf03df52899

Ramakrishna, Vish, Ober, Raimund J., Flores, Kathryn L. and Rabitz, Herschel (2001) Constructive control of a spin system via periodic control. In Proceedings of the 40th IEEE Conference on Decision and Control. vol. 1, Institute of Electrical and Electronics Engineers Inc. pp. 292-297 . (doi:10.1109/CDC.2001.980115).

Record type: Conference or Workshop Item (Paper)

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.

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Published date: 2001

Identifiers

Local EPrints ID: 424917
URI: http://eprints.soton.ac.uk/id/eprint/424917
PURE UUID: 3e3bc136-ab84-4b39-9782-5d02aaca3ac8
ORCID for Raimund J. Ober: ORCID iD orcid.org/0000-0002-1290-7430

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Date deposited: 05 Oct 2018 16:30
Last modified: 20 Jul 2019 00:22

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Contributors

Author: Vish Ramakrishna
Author: Raimund J. Ober ORCID iD
Author: Kathryn L. Flores
Author: Herschel Rabitz

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