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Compressed Sensing and QM: Recent Progress and State of the Art
David Gross - Cologne
Wednesday, March 9, 2016, 11:00 am-12:00 pm Calendar
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Abstract

Every time the release button of a digital camera is pressed, several megabytes of raw data are recorded. But the size of a typical jpeg output file is only 10% of that. What a waste! Can't we design a process which records only the relevant 10% of the data to begin with?

Compressed sensing is a young theory that achieves this trick for certain signals. There has been a fruitful exchange of ideas between this field and quantum physics: Mathematical methods from quantum information have found many applications in classical compressed data acquisition tasks. Conversely, compressed sensing ideas have advanced the theory of quantum state estimation. I will introduce the basics of the theory and outline where we stand with regards to quantum tomography applications. I will mention very recent results in uncertainty quantification, as well as applications of the diamond norm and the Clifford group in compressed sensing.

This talk is organized by Javiera Caceres