Robustness of Greenberger $$\textendash $$ – Horne $$\textendash $$ – Zeilinger and W states against Dzyaloshinskii-Moriya interaction

Robustness of Greenberger $$\textendash $$ – Horne $$\textendash $$ – Zeilinger and W... In this article, the robustness of tripartite Greenberger–Horne–Zeilinger (GHZ) and W states is investigated against Dzyaloshinskii-Moriya (i.e. DM) interaction. We consider a closed system of three qubits and an environmental qubit. The environmental qubit interacts with any one of the three qubits through DM interaction. The tripartite system is initially prepared in GHZ and W states, respectively. The composite four qubits system evolve with unitary dynamics. We detach the environmental qubit by tracing out from four qubits, and profound impact of DM interaction is studied on the initial entanglement of the system. As a result, we find that the bipartite partitions of W states suffer from entanglement sudden death (i.e. ESD), while tripartite entanglement does not. On the other hand, bipartite partitions and tripartite entanglement in GHZ states do not feel any influence of DM interaction. So, we find that GHZ states have robust character than W states. In this work, we consider generalised GHZ and W states, and three $$\pi $$ π is used as an entanglement measure. This study can be useful in quantum information processing where unwanted DM interaction takes place. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Robustness of Greenberger $$\textendash $$ – Horne $$\textendash $$ – Zeilinger and W states against Dzyaloshinskii-Moriya interaction

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Publisher
Springer Journals
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/s11128-016-1443-4
Publisher site
See Article on Publisher Site

Abstract

In this article, the robustness of tripartite Greenberger–Horne–Zeilinger (GHZ) and W states is investigated against Dzyaloshinskii-Moriya (i.e. DM) interaction. We consider a closed system of three qubits and an environmental qubit. The environmental qubit interacts with any one of the three qubits through DM interaction. The tripartite system is initially prepared in GHZ and W states, respectively. The composite four qubits system evolve with unitary dynamics. We detach the environmental qubit by tracing out from four qubits, and profound impact of DM interaction is studied on the initial entanglement of the system. As a result, we find that the bipartite partitions of W states suffer from entanglement sudden death (i.e. ESD), while tripartite entanglement does not. On the other hand, bipartite partitions and tripartite entanglement in GHZ states do not feel any influence of DM interaction. So, we find that GHZ states have robust character than W states. In this work, we consider generalised GHZ and W states, and three $$\pi $$ π is used as an entanglement measure. This study can be useful in quantum information processing where unwanted DM interaction takes place.

Journal

Quantum Information ProcessingSpringer Journals

Published: Nov 1, 2016

References

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