Hi all,
this is a reminder of Cyril Stark's talk today at 4 pm in the Time
Room.
Title: Inference of effective quantum models in the asymptotic
regime
Speaker: Cyril Stark (ETH Zurich)
Abstract:
In this talk I will sketch a project which aims at the design of
systematic and efficient procedures to infer quantum models from
measured data. Progress in experimental control have enabled an
increasingly fine tuned probing of the quantum nature of matter,
e.g., in superconducting qubits. Such experiments have shown that we
not always have a good understanding of how to model the
experimentally performed measurements via POVMs. It turns out that
the ad hoc postulation of POVMs can lead to inconsistencies. For
example, when doing asymptotic state tomography via linear
inversion, one sometimes recovers density operators which are
significantly not positive semidefinite. Assuming the asymptotic
regime, we suggest an alternative procedure where we do not make a
priori assumptions on the quantum model, i.e., on the Hilbert space
dimension, the prepared states or the measured POVMs. In other
words, we simultaneously estimate the dimension of the underlying
Hilbert space, the quantum states and the POVMs. We are guided by
Occam's razor, i.e., we search for the minimal quantum model
consistent with the data.
Date: Monday, Dec 17, 2012 - 4:00 pm
Location: Time Room (294)
Best,
Markus