Abstract
We derive analytic formulas for the geometric measure of quantum discord introduced by Dakic, Vedral, and Brukner for pure states and (2×n)-dimensional states and establish a general lower bound for arbitrary states.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. Vedral, Rev. Modern Phys., 74, 197–234 (2002); ar**v:quant-ph/0102094v1 (2001).
R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Modern Phys., 81, 865–942 (2009); ar**v:quant-ph/0702225v2 (2007).
A. Datta, S. T. Flammia, and C. M. Caves, Phys. Rev. A, 72, 042316 (2005); ar**v:quant-ph/0505213v1 (2005).
L. Henderson and V. Vedral, J. Phys. A, 34, 6899–6905 (2001); ar**v:quant-ph/0105028v1 (2001).
S. Luo, Phys. Rev. A, 77, 022301 (2008).
K. Modi, T. Paterek, W. Son, V. Vedral, and M. Williamson, Phys. Rev. Lett., 104, 080501 (2010); ar**v:0911.5417v2 [quant-ph] (2009).
H. Ollivier and W. H. Zurek, Phys. Rev. Lett., 88, 017901 (2001).
J.-S. Xu, X.-Y. Xu, C.-F. Li, C.-J. Zhang, X.-B. Zou, and G.-C. Guo, Nature Commun., 1, 7 (2010).
S. Luo and S. Fu, Phys. Rev. A, 82, 034302 (2010).
M. D. Lang and C. M. Caves, Phys. Rev. Lett., 105, 150501 (2010); ar**v:1006.2775v3 [quant-ph] (2010).
S. Luo, Phys. Rev. A, 77, 042303 (2008).
B. Dakic, V. Vedral, and C. Brukner, Phys. Rev. Lett., 105, 190502 (2010); ar**v:1004.0190v2 [quant-ph] (2010).
X.-M. Lu, Z. J. **, Z. Sun, and X. Wang, Quantum Inf. Comput., 10, 994–1003 (2010).
F. Altintas, Opt. Comm., 283, 5264–5268 (2010).
M. S. Byrd and N. Khaneja, Phys. Rev. A, 68, 062322 (2003); ar**v:quant-ph/0302024v2 (2003).
R. Bhatia, Matrix Analysis (Grad. Texts Math., Vol. 169), Springer, New York (1997).
Author information
Authors and Affiliations
Corresponding author
Additional information
Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 171, No. 3, pp. 519–528, June, 2012.
Rights and permissions
About this article
Cite this article
Luo, S., Fu, S. Evaluating the geometric measure of quantum discord. Theor Math Phys 171, 870–878 (2012). https://doi.org/10.1007/s11232-012-0082-x
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11232-012-0082-x