Workshop on QUANTUM INFORMATION PROCESSING AND QUANTUM COMMUNICATIONS
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Quantum Information Processing and Quantum Communications
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aula 326 - Giovedì 3 giugno ore 11.00 |
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RICHARD
GILL, Utrecht University |
>VITAE:
Richard Gill (born 1951) is Professor in Mathematical Statistics at the
University of Utrecht, Netherlands. He is a member of the Dutch Academy
of Sciences. In recent years he has been working on the statistical approach
to quantum state reconstruction problems, and on statistical aspects of
Bell-type experiments.
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Abstract |
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I will explain a statistical approach to quantum tomography
(quantum state reconstruction; also reconstruction of quantum operations)
using the tools of Fisher information and maximum likelihood estimation.
Applications will be sketched to the issue of adaptive versus non-adaptive,
joint versus separate measurement schemes, and (in state tomography) use
of entangled versus non-entangled probe states. I will argue that already
in the most simple quantum tomography problem (separate measurements on
many copies of a two-level system) there is so much rich structure, that
a single number figure of merit (such as average fidelity with respect to
a "noninformative" prior) does not reflect the complexity of the
problem.
The analysis will throw new light on the strange convergence rates recently
discovered by Bagan, Baig, Munoz-Tapia and Rodriguez (2004; PRA 69, 010304). |
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