Abstract
Quantizing multi-qubit entanglement is important for quantum information processing communication. In this paper, we study the relations between concurrence and purity of multi-qubit of pure states through detail calculation. For the maximally entangled states, we find that the averaged purity reaches its minimum; the concurrence reaches its maximum. Such results can be applied in quantizing multi-qubit entanglement.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Kempe, J.: . Phys. Rev. A 60, 910–6 (2000)
Ekert, A. K.: . Phys. Rev. Lett. 67, 661 (1991)
Nielsen, M. A., Chuang, I. L.: . Cambridge University Press, Cambridge (2000)
Zhang, Z. Y., Wang, R., Zhang, Y. Q., et al.: . Nat. Commun. 11, 1902 (2020)
Yuan, J. P., Wu, C. H., Wang, L. R., et al.: . Opt. Lett. 44, 4123 (2019)
Zhang, Z. Y., Shun, L., Li, F., et al.: . Optica 7, 455 (2020)
Yuan, J. P., Wu, C. H., Li, Y. H., et al.: . Opt. Express 27, 92 (2019)
Zhang, Z. Y., Li, F., Malpuech, G., et al.: . Phys. rev. Lett. 122, 233905 (2019)
Facchi, P., Florio, G., Parisi, G., et al.: . Phys. Rev. A 77, 060304 (2008)
Zha, X. W., Chen, Z. Y., Zhang, Y. P.: . Laser Phys. Lett. 10, 045201 (2013)
Wootters, W. K.: . Phys. Rev. Lett. 80, 2245 (1998)
Rungta, P., Bužek, V., Caves, C. M., et al.: . Phys. Rev. A 64, 042315 (2001)
Albeverio, S., Fei, S. M.: . J. Opt. B Quantum Semiclass. Opt. 3, 223 (2001)
Mintert, F., Kus, M., Buchleitner, A.: . Phys. Rev. Lett 92, 167902 (2004)
Chen, K., Albeverio, S., Fei, S. M.: . Phys. Rev. Lett. 95, 040504 (2005)
Breuer, H. P.: . Phys. Rev. Lett. 97, 080501 (2006)
Carvalho, A. R. R., Mintert, F., Buchleitner, A.: . Phys. Rev. Lett. 93, 230501 (2004)
Zhu, X. N., Li, M., Fei, S. M.: . Quantum Inf Process 17, 30 (2018)
Zha, X. W., Zhang, D., Ahmed, I., et al.: . Laser Phys. Lett. 15, 055206 (2018)
Zha, X. W., Yuan, C. Z., Zhang, Y. P.: . Laser Phys.Lett. 10, 45201 (2013)
Acknowledgements
This work was supported by Natural Science Foundation of Shaanxi Provincial Department of Education. Grant No. 13JK0608
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
About this article
Cite this article
Jin, W., Zhao, P., Che, J. et al. The Relation of Concurrence and Purity for Multi-Qubit of Pure States. Int J Theor Phys 59, 2751–2756 (2020). https://doi.org/10.1007/s10773-020-04535-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-020-04535-9