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SUMMARY:Compressive phase space tomography
DTSTART:20111117T123000
DTSTAMP:20260407T074612Z
UID:888174a0fef2ab23103d6cc709005661783fee3c745bc7b17548ccc1
CATEGORIES:Conferences - Seminars
DESCRIPTION:George Barbastathis\, MIT & SMART Centre\, Singapore\nCorrelat
 ion functions completely characterize many physical quantities\, e.g. the 
 state of coherence of classical stationary optical  fields and the wavefun
 ction of quantum systems with conservative Hamiltonian. For classical Opti
 cal fields\, the measurement can be done either by interferometry of by ca
 pturing a “stack” of intensity images while moving the camera along th
 e optical axis. In this talk\, we concentrate on the interpretation of the
  stack of intensity measurements using two methods: the transport-of-inten
 sity equation and the phase space (also known as Wigner distribution funct
 ion.) In the second case\, the estimation problem becomes equivalent to to
 mography and thus is subject to the same artifacts due to sparse and non-
 ¬‐uniform sampling in Fourier (ambiguity) space. We have shown experime
 ntally that the undersampling problems are significantly improved using a 
 compressive reconstruction with the coherent mode decomposition as set of 
 basic functions and a low-¬‐entropy prior on the field. The mutual inte
 nsities obtained are physically correct and provide good agreement with es
 timates obtained independently using the van Cittert – Zernike theorem. 
 The experiment was completely classical\, but it does suggest that a direc
 tly analogous quantum implementation should be equally accurate.
LOCATION:BM 1130 https://plan.epfl.ch/?room==BM%201130
STATUS:CONFIRMED
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