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Quantum holonomies for displaced Landau–Aharonov–Casher states

Quantum holonomies for displaced Landau–Aharonov–Casher states We construct displaced Fock states for a Landau–Aharonov–Casher system for neutral particles. Abelian and non-Abelian geometric phases can be obtained in an adiabatic cyclic evolution using this displaced states. Moreover, we show that a possible logical base related to the angular momenta of the neutral particle with permanent magnetic dipole moment can be defined, and then quantum holonomies for specific paths can be built and used to implement one-qubit quantum gates. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Quantum holonomies for displaced Landau–Aharonov–Casher states

Melo, J.; Bakke, K.; Furtado, C.
Quantum Information Processing , Volume 13 (7) – May 27, 2014
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References (4)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
DOI
10.1007/s11128-014-0751-9
Publisher site
See Article on Publisher Site

Abstract

We construct displaced Fock states for a Landau–Aharonov–Casher system for neutral particles. Abelian and non-Abelian geometric phases can be obtained in an adiabatic cyclic evolution using this displaced states. Moreover, we show that a possible logical base related to the angular momenta of the neutral particle with permanent magnetic dipole moment can be defined, and then quantum holonomies for specific paths can be built and used to implement one-qubit quantum gates.

Journal

Quantum Information Processing – Springer Journals

Published: May 27, 2014

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