Location: Zoom https://harvard.zoom.us/j/779283357
Time: Tuesday, May 5, 2020, 10:00 AM (Eastern US), 16:00 (Central Europe), 22:00 (China)
Title: The Information in a Wave
Abstract: Suppose that some information is transmitted by an undulatory signal. In Classical Field Theory, the stress-energy tensor provides the energy-momentum density of the wave packet at any time. But, how to measure the information, or entropy, carried by the wavepacket in a certain region at given time?
Surprisingly, one can answer the above (entirely classical) question by means of Operator Algebras and Quantum Field Theory. In fact, in second quantisation a wave packet gives rise to a sector of the Klein-Gordon Quantum Field Theory on the Rindler spacetime W. The associated vacuum noncommutative entropy of the global von Neumann algebras of W is the entropy of the wave packet in the wedge region W of the Minkowski spacetime. One can then read this result in first quantisation via a notion of entropy of a vectorof a Hilbert space with respect to a real linear subspace.
I give a path to the above results by an overview of some of basic results in Operator Algebras and Quantum Field Theory and of the relation with the Quantum Null Energy Inequality.
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LOCATION:Zoom STATUS:CONFIRMED DTSTART:20200505T140000Z DTEND:20200505T140000Z END:VEVENT END:VCALENDAR