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- Inference of effective quantum models in the asymptotic regime

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.

Collection/Series:

Event Type:

Seminar

Scientific Area(s):

Event Date:

Monday, December 17, 2012 - 16:00 to 17:30

Location:

Time Room

©2012 Perimeter Institute for Theoretical Physics