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Dear all, On Monday 19th and Tuesday 20th of February there will be several talks on "quantum statistics" in the Quantum Stochastics and Information Seminar (School of Mathematics, University of Nottingham). More details can be found below. Monday 19 February 4:00-5:00, in C4 (M/P building) Richard Gill (University of Leiden) Title: Perfect passion at a distance (how to win at Polish poker with quantum dice) Abstract: I explain quantum nonlocality experiments and discuss how to optimize them. Statistical tools from missing data maximum likelihood are crucial. New results are given on Bell, GHZ, CGLMP, CH and Hardy ladder inequalities. Open problems - there are indeed many! - are discussed. Prior knowledge of quantum theory or indeed physics is not needed to follow the talk; indeed its lack could be an advantage ;-) It will be difficult to resist discussion of the metaphysical implications of Bell's inequality. 5:00-5:30, in C4 (M/P building) Yoshiyuki Tsuda (Institute of Statistical Mathematics, Tokyo) Title: An invariant test for a squeezed quantum Gaussian model Abstract: Consider a family of quantum Gaussian states with an unknown real amplitude theta and an unknown squeezing parameter eta (purely imaginary). We test the following hypothesis with respect to a level alpha; H_0: theta=0 versus H_1:theta<0 or theta>0. It is required that the test should be invariant w.r.t. the nuisance parameter eta. By the quantum Bhattacharyya inequality, it was shown that the squeezed counting measurement is the UMVUE for the square of theta. We construct a test, using that measurement, invariant by eta. Tuesday 20 February 3:00-4:00, in C35 (Coates building) Jonas Kahn (Paris X) Title: Fast estimation of $SU(d)$ operation Abstract: An unknown operation (channel) $U$ can be evaluated by sending input states through the channel and measuring the output states. An interesting phenomenon is that 1/N^2 rate can be achieved instead of the 1/N common in statistics, using entanglement between input states. This was already known for U \in SU(2). This talk is on the proof for U\in SU(d), for general d. 4:00-4:30, in C35 (Coates) Peter Jupp (University of St. Andrews) Title: A van Trees inequality on manifold Abstract: The van Trees inequality is a Bayesian version of the Cramer-Rao inequality. A very general multivariate version was given by Gill & Levit (1995). This talk presents a generalisation in which (a) the parameter spaces are manifolds, (b) bias and variance are described in terms of an arbitrary smooth loss function. The quantities that arise have differential-geometric interpretations. For further details please contact Madalin Guta ([log in to unmask]) Regards, Bill Browne. This message has been checked for viruses but the contents of an attachment may still contain software viruses, which could damage your computer system: you are advised to perform your own checks. Email communications with the University of Nottingham may be monitored as permitted by UK legislation.