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Seminar: Wednesday, Sept. 12, 2012 at 3:30 pm

Entropy, information and compressive
sensing in the quantum domain
John Howell
University of Rochester

It may seem somewhat surprising that information is governed by uncertainty. Put another way, if we know what someone is going to tell us, then there would be no need for listening. The uncertainty of that communication, entropy, is a measure of the information gained. In this presentation, I will discuss some basic concepts of entropy along with some of our recent experiments on studies of entanglement entropy and quantum imaging using compressive sensing. Lastly, I will present results on recent studies of quantum noise on compressive signals. These experiments will be couched in the ideas of entropy and the information gained as a function of the number of photons. Compressive sensing has a wide range of possible application including imaging through obscurants, hyperspectral imaging, and high resolution single pixel imaging in otherwise difficult regions of the spectrum to image. These concepts are crucial in understanding compressive sensing as a sensing paradigm. Based on these ideas, I will present details of a novel compressive sensing Lidar system.

Location: Physics Bldg., Room 401