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.
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