On Quantum Statistical Inference, II

Preprint English OPEN
Barndorff-Nielsen, O. E.; Gill, R. D.; Jupp, P. E.;
(2003)
  • Subject: Mathematics - Statistics Theory | Mathematics - Probability | Quantum Physics

Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems. Furthermore, theoretical developments i... View more
  • References (44)
    44 references, page 1 of 5

    Aspect, A., J. Dalibard, and G. Roger (1982). Experimental test of Bell's inequalities using time-varying analysers. Phys. Rev. Letters 49, 1804-1807.

    Banaszek, K., G. M. D'Ariano, M. G. A. Paris, and M. F. Sacchi (2000). Maximum-likelihood estimation of the density matrix. Phys. Rev. A 61, 010304(R).

    Barndorff-Nielsen, O. E. and D. R. Cox (1994). Inference and Asymptotics. London: Chapman and Hall.

    Barndorff-Nielsen, O. E. and R. D. Gill (2000). Fisher information in quantum statistics. J. Phys. A.: Math. Gen. 33, 4481-4490.

    Barndorff-Nielsen, O. E., R. D. Gill, and P. E. Jupp (2001a). Quantum Information. In B. E. Engquist and W. Schmid (Eds.), Mathematics Unlimited-2001 and Beyond (Part I), Heidelberg, pp. 83-107. Springer.

    Barndorff-Nielsen, O. E., R. D. Gill, and P. E. Jupp (2001b). On quantum statistical inference. Technical Report 2001-19, MaPhySto. quant-ph/0307189.

    Barndorff-Nielsen, O. E., R. D. Gill, and P. E. Jupp (2003). Quantum Statistics. In Preparation.

    Barndorff-Nielsen, O. E. and A. E. Koudou (1995). Cuts in natural exponential families. Teor. Veroyatnost. i Primenen. 2, 361-372.

    Barndorff-Nielsen, O. E. and E. R. Loubenets (2002). General framework for the behaviour of continuously observed quantum systems. J. Phys. A: Math. Gen. 35, 565-588.

    Barndorff-Nielsen, O. E. and S. Thorbjørnsen (2002a). Selfdecomposability and L´evy processes in free probability. Bernoulli 8, 323-366.

  • Metrics
    No metrics available
Share - Bookmark