Abstract
We address the sensitivity of Bures and Hilbert distances between two qubits in revealing (i) small perturbations occurring to one of the qubits and (ii) small changes of the noise parameter in a noisy channel. A general relation is derived, as well as specific bounds for perturbations induced by relevant noisy quantum channels.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C. H. Bennett et al, Phys. Rev. Lett. 76, 722 (1996); A. Kent, Phys. Rev. Lett. 81, 2839 (1998).
F. Verstraete and H. Verschelde, Phys. Rev. Lett. 90, 097901 (2003).
N. Gisin and S. Massar, Phys. Rev. Lett. 79, 2153 (1997).
A. X. Chen, J. H. Li, and J. X. Jin, Comm. Theor. Phys. 43, 631 (2005).
Quantum State Estimation, Ed. by M. G. A. Paris and J. Rehacek (Springer, Berlin, 2004), Lect. Not. Phys., Vol. 649.
V. Buzek and M. Hillery, Phys. Rev. A 54, 1844 (1996); V. Buzek, G. Adam, and G. Drobny, Phys. Rev A 54, 804 (1996).
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge Univ. Press, Cambridge, 2000).
M. Hubner, Phys. Lett. A 163, 239 (1992).
R. Josza. J. Mod. Opt. 41, 2315 (1994).
V. Belavkin, Rep. Math. Phys. 55, 61 (2005).
A. Uhlmann, Rep. Math. Phys. 9, 273 (1976).
N. A. Peters, Tzu-Chieh Wei, and P. G. Kwiat, Phys. Rev. A 70, 052309 (2004).
G. Benenti, S. Felloni, and G. Strini, Eur. Phys. J. D 38, 389 (2006).
Author information
Authors and Affiliations
Additional information
Original Text © Astro, Ltd., 2007.