Abstract
The possibility of exchanging the quantum correlations and the non-local information between three qubits interact directly or indirectly via Dzyaloshinskii-Moriya (DM)is discussed. The initial state settings and the interaction strength represent control parameters on the exchanging phenomena. The non-local information that encoded on the different partitions doesn’t exceed the initial one. It is shown that, the ability of DM interaction to generate entanglement is larger than that displayed for the dipole interaction. The possibility of maximizing the quantum correlations between the three qubits increases as one increase the strength of interaction and starting with large initial quantum correlations. The long-lived quantum correlations could be achieved by controlling the strength of the dipole interaction.
Similar content being viewed by others
References
Takayanagi, T., Ugajin, T., memoto, K. : Towards an Entanglement Measure for Mixed States in CFTs Based on Relative Entrop. J. High Energ. Phys. 166 (2018). https://doi.org/10.1007/JHEP10166
Gisin, G., Ribordy, G., Tittel, W., Zbinden, H.: Quantum cryptography. Rev. Mod. Phys. 74, 145 (2002)
Bennett, C., Brassard, G., Crepeau, C., Jozsa, R., Wotters, W.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70 (1993)
Schumacher, B.: Quantum coding. Phys. Rev. A 51, 2738 (1995)
Plenio, M.B., Huelga, S.F., Beige, A., Knigh, P.L.: Cavity-loss-induced generation of entangled atoms. Phys. Rev. A 59, 2468 (1999)
Zhang, J., XiLiu, Y., Li, C.-W., Tarn, T.-J., Nori, F.: Generating stationary entangled states in superconducting qubits. Phys. Rev. A 79, 052308 (2009)
Sridharan, D., Waks, E.: Generating entanglement between quantum dots with different resonant frequencies based on dipole-induced transparency. Phys. Rev. A 78, 052321 (2008)
Dzyaloshinsky, I.: A thermodynamic theory of ’weak’ ferromagnetism of antiferromagnetic. J. Phys. Chem. Solids 4 (1958)
Zhang, G.-F.: Thermal entanglement and teleportation in a two-qubit Heisenberg chain with Dzyaloshinski-Moriya anisotropic antisymmetric interaction. Phys. Rev. A 75, 034304 (2007)
Jafarpour, M., Ashrafpour, M.: Entanglement dynamics of a two-qutrit system under DM interaction and the relevance of the initial state. Quantum Inf. Process 12, 7610772 (2013)
Sharma, K., Pandey, S.N.: Dynamics of entanglement in qubit-qutrit with x-component of DM interaction. Commun. Theor. Phys. 65, 273 (2016)
Nilhan, Z., Pashaev, O.: Entanglement in two qubit magnetic models with DM antisymmetric anistropic exchange interaction. Int. J. Mod. Phys. B 24, 943 (2010)
Metwally, N.: Entangled network and quantum communicationn. Phys Lett.A 48, 4268 (2011)
Abo-Kahla, D.A.M., Abd-Rabbou, M.Y., Metwally, N.: The orthogonality speed of two-qubit state interacts locally with spin chain in the presence of Dzyaloshinsky–Moriya interaction. Laser Phys. Lett. 18, 045203 (2021)
Wootters, W.K.: Quantum of formation and concurrence. Quantum Information and Computation 1, 27 (2001)
Hill, S., Wootters, W.: Entanglement of a pair of quantum bits. Phys. Rev. Lett. 79, 26 (1997)
Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)
Peres, A.: Separability criterion for density matrices. Phys. Rev. Lett. 76, 1413 (1996)
Horodecki, M., Horodecki, P., Horodeckis, R.: Separability of mixed states: necessary and sufficient conditions. Phys. Lett. A 223, 1 (1996)
Qiang, Z., Ping, Z.X., Qi-Jun, Z., Zhou, R.Z.: Entanglement dynamics of a Heisenberg chain with Dzyaloshinskii–Moriya interaction. Chinese Phys. B 18, 5 (2009)
Acknowledgements
We would like to thank the referee for his/her comments which improved our manuscript.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Ebrahiam, F., Metwally, N. Exchanging Quantum Correlations and Non-Local Information Between Three Qubit-Syatem. Int J Theor Phys 61, 218 (2022). https://doi.org/10.1007/s10773-022-05182-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10773-022-05182-y