Abstract
Shannon entropy, Rényi entropy, and Tsallis entropy are discussed for the tomographic probability distributions of qubit states. Relative entropy and its properties are considered for the tomographic probability distribution describing the states of multi-spin systems. New inequalities for Hermite polynomials are obtained.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
V. V. Dodonov and V. I. Man'ko, Phys. Lett. A, 239, 335 (1997).
V. I. Man'ko and O. V. Man'ko, J. Exp. Theor. Phys., 85, 430 (1997).
C. E. Shannon, Bell Syst. Tech. J., 27, 379 (1948).
A. Rényi, Probability Theory, North-Holland, Amsterdam (1970).
M. A. Man'ko, V. I. Man'ko, and R. V. Mendes, “A probability operator symbol framework for quantum information” [quant-ph/0602189v1], J. Russ. Laser Res., 27, 507 (2006).
Olga Man'ko and V. I. Man'ko, J. Russ. Laser Res., 18, 407 (1997).
V. V. Dodonov, O. V. Man'ko, and V. I. Man'ko, Phys. Rev. A, 49, 2993 (1994).
Vladimir N. Chernega and Vladimir I. Man'ko, J. Russ. Laser Res., 28, 535 (2007).
V. N. Chernega, O. V. Man'ko, V. I. Man'ko, O. V. Pilyavets, and V. G. Zborovskii, J. Russ. Laser Res., 27, 132 (2006).
V. I. Man'ko, G. Marmo, A. Simoni, and F. Ventriglia, Phys. Lett. A, 372, 6490 (2008).
C. Tsallis, J. Stat. Phys., 52, 479 (1988).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chernega, V.N., Man’ko, V.I. Entropy and information characteristics of qubit states. J Russ Laser Res 29, 505–519 (2008). https://doi.org/10.1007/s10946-008-9040-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-008-9040-3