Preparing entangled states by Lyapunov control

Preparing entangled states by Lyapunov control By Lyapunov control, we present a protocol to prepare entangled states such as Bell states in the context of cavity QED system. The advantage of our method is of threefold. Firstly, we can only control the phase of classical fields to complete the preparation process. Secondly, the evolution time is sharply shortened when compared to adiabatic control. Thirdly, the final state is steady after removing control fields. The influence of decoherence caused by the atomic spontaneous emission and the cavity decay is discussed. The numerical results show that the control scheme is immune to decoherence, especially for the atomic spontaneous emission from $$|2\rangle $$ | 2 ⟩ to $$|1\rangle $$ | 1 ⟩ . This can be understood as the state staying in an invariant subspace. Finally, we generalize this method in preparation of W state. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Preparing entangled states by Lyapunov control

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Publisher
Springer US
Copyright
Copyright © 2016 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
D.O.I.
10.1007/s11128-016-1441-6
Publisher site
See Article on Publisher Site

Abstract

By Lyapunov control, we present a protocol to prepare entangled states such as Bell states in the context of cavity QED system. The advantage of our method is of threefold. Firstly, we can only control the phase of classical fields to complete the preparation process. Secondly, the evolution time is sharply shortened when compared to adiabatic control. Thirdly, the final state is steady after removing control fields. The influence of decoherence caused by the atomic spontaneous emission and the cavity decay is discussed. The numerical results show that the control scheme is immune to decoherence, especially for the atomic spontaneous emission from $$|2\rangle $$ | 2 ⟩ to $$|1\rangle $$ | 1 ⟩ . This can be understood as the state staying in an invariant subspace. Finally, we generalize this method in preparation of W state.

Journal

Quantum Information ProcessingSpringer Journals

Published: Sep 20, 2016

References

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