Abstract
Quantum discord is an effective measure of quantum correlation introduced by Olliver and Zurek. We evaluate analytically the quantum discord for a large family of non-X-states. Exact solutions of the quantum discord are obtained for four parametric spaces of non-X-states. Dynamic behavior of the quantum discord is also explored under the action of the Kraus operator.
Similar content being viewed by others
References
Modi, K., Brodutch, A., Cable, H., Paterek, T., Vedral, V.: . Rev. Mod. Phys. 84, 1655 (2012)
Streltsov, A.: Quantum Correlations beyond Entanglement and Their Role in Quantum Information Theory. SpringerBriefs in Physics. Springer, Berlin (2015)
Adesso, G., Bromiey, T.R., Cianciaruso, M.: . J. Phys. A: Math. Theor. 49, 473001 (2016)
Sabapathy, K.K., Simon, R.: arXiv:1311.0210v1
Yurischev, M.A.: . Quantum Inf. Process. 14, 3399 (2015)
Li, B., Wang, Z.X., Fei, S.M.: . Phys. Rev. A 83, 022321 (2011)
Ollivier, H., Zurek, W.H.: . Phys. Rev. Lett. 88, 017901 (2001)
Dakíc, B., Vedral, V., Brukner, Č.: . Phys. Rev. Lett. 105, 190502 (2010)
Ali, M., Rau, A.R.P., Alber, G.: . Phys. Rev. A 81, 042105 (2010)
Girolami, D., Adesso, G.: . Phys. Rev. A 83, 052108 (2011)
Galve, F., Giorgi, G., Zambrini, R.: . Europhys. Lett. 96, 40005 (2011)
Chen, Q., Zhang, C., Yu, S., Yi, X.-X., Oh, C.-H.: . Phys. Rev. A 84, 042313 (2011)
Fanchini, F.F., Werlang, T., Brasil, C.A., Arruda, L.G.E., Caldeira, A.O.: . Phys. Rev. A 81, 052107 (2010)
Huang, Y.: . Phys. Rev. A 88, 014302 (2013)
Vedral, V.: . Rev. Mod. Phys. 74, 197 (2002)
Groisman, B., Popescu, S., Winter, A.: . Phy. Rev. A 72, 032317 (2005)
Schumacher, B., Westmoreland, M.D.: . Phys. Rev. A 74, 042305 (2006)
Li, N., Luo, S.: . Phys. Rev. A 76, 032327 (2007)
Streltsov, A.: Quantum correlations beyond entanglement. Springer Briefs in Physics Springer International Publishing (2015)
Long, S.: . Phys. Rev. A 77, 042303 (2008)
Jing, N., Yu, B.: . J. Phys. A: Math. Theor. 49, 385302 (2016)
Werlang, T., Souza, S., Fanchini, F.F., Villas Boas, C.J.: . Phys. Rev. A 80, 024103 (2009)
Fanchini, F.F., Werlang, T., Brasil, C.A., Arruda, L.G.E., Caldeira, A.O.: . Phys. Rev. A 81, 052107 (2010)
Ye, B.-L., Wang, Y.-K., Fei, S.-M.: . Int. J. Theor. Phys. 55, 2237 (2016)
Zhu, X.-N., Fei, S.-M., Li-Jost X.-Q.: . Quantum inf. Process. 17, 234 (2018)
Acknowledgments
The corresponding author gratefully acknowledges the partial support of NSFC grants 11426116, 11501251 and 11871325 during this work. The third author is supported by NSFC grant 11531004 and Simons Foundation grant 523868.
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
Zhou, J., Hu, X. & Jing, N. Quantum Discord of Certain Two-Qubit States. Int J Theor Phys 59, 415–425 (2020). https://doi.org/10.1007/s10773-019-04333-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-019-04333-y