Abstract
The Schmidt number—the measure of entanglement of pure states of a continuous-variable bipartite system—is analytically calculated for a simple model of photon-atom scattering.
Similar content being viewed by others
References
The Physics of Quantum Information, Ed. by Bouwmeester, A. Ekert, and A. Zeilinger (Springer, Berlin, 2000; Postmarket, Moscow, 2002).
R. Grobe, K. Rzazewski, and J. H. Eberly, J. Phys. B 27, L503 (1994).
A. Ekert and P. L. Knight, Am. J. Phys 63(5), 415 (1995).
J. H. Eberly, arXiv:quant-ph/0508019 (2005).
J. P. Torres, F. Macia, S. Carrasco, and L. Torner, Opt. Lett. 30(3), 314 (2005).
C. K. Law, Phys. Rev. A 7(6), 062311 (2004).
C. K. Law and J. H. Eberly, Phys. Rev. Lett. 92(12), 127903 (2004).
J. Wang, C. K. Law, and M.-C. Chu, Phys. Rev. A 73, 034302 (2006).
S. K. Y. Lee and C. K. Law, Phys. Rev. A 73, 053808 (2006).
G. Adesso, A. Serafini, and F. Illuminati, Phys. Rev. A 70, 022318 (2004).
P. Holmes, J. L. Lumley, and G. Berkooz, Turbulence, Coherent Structures, Dynamical Systems, and Symmetry (Cambrige Univ. Press, Cambrige, 1996).
K. S. Fu, Sequential Methods in Pattern Recognition and Machine Learning (Academic, New York, 1968; Nauka, Moscow, 1971).
L. Lamata and J. Leon, J. Opt. B 7(8), 224 (2005).
C. Tsallis, J. Stat. Phys. 52(1/2), 479 (1988).
V. V. Dodonov, J. Opt. B 4(3), 98 (2002).
M. Karelin, J. Phys. A 38(28), 6393 (2005).
C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, Phys. Rev. A 53(4), 2046 (1996).
G. Adesso, A. Serafini, and F. Illuminati, Phys. Rev. Lett. 92, 087901 (2004).
K. W. Chan, C. K. Law, and J. H. Eberly, Phys. Rev. Lett. 88(10), 100402 (2002).
J. H. Eberly, K. W. Chan, and C. K. Law, Chaos, Solitons, Fractals 16, 399 (2003).
J. H. Eberly, K. W. Chan, and C. K. Law, Philos. Trans. R. Soc. London 361(1808), 1519 (2003).
K. W. Chan, C. K. Law, and J. H. Eberly, Phys. Rev. A 68(2), 022110 (2003).
R. Guo and H. Guo, Phys. Rev. A 73, 012103 (2006).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.U. Karelin, 2007, published in Optika i Spektroskopiya, 2007, Vol. 103, No. 2, pp. 201–203.
Rights and permissions
About this article
Cite this article
Karelin, M.U. The schmidt number of pure continuous-variable bipartite entangled states and the method of its calculation. Opt. Spectrosc. 103, 193–195 (2007). https://doi.org/10.1134/S0030400X07080048
Received:
Issue Date:
DOI: https://doi.org/10.1134/S0030400X07080048