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Quantum Chaos 2020 Series: Entropic uncertainty relations for quantum-information scrambling

Thursday August 6, 2020
9:00 am

 Presenter:  Nicole Yunger Halpern (Harvard)
 Series:  CQuIC Seminars
 Abstract:  A QUANTUM CHAOS SEMINAR presented in a Zoom meeting vetted by CQuIC, organized by Pablo Poggi in collaboration with Pieter Claeys.
Abstract: How violently do two quantum operations disagree? Different subfields of physics answer differently, featuring different notions of operator incompatibility: (i) In pure quantum information theory, uncertainty relations are cast in terms of entropies. These entropic uncertainty relations constrain measurement outcomes. (ii) Condensed matter and high-energy physics feature interacting quantum many-body systems, such as spin chains. A local perturbation, such as a Pauli operator on one side of a chain, spreads through many-body entanglement. The perturbation comes to overlap, and to disagree, with probes localized on the opposite side of the system. This disagreement signals that information about the perturbation has scrambled, or become hidden in highly nonlocal correlations. I will unite these two notions of quantum operator disagreement, presenting an entropic uncertainty relation for quantum-information scrambling. The relation can be tested experimentally with superconducting qubits, trapped ions, and quantum dots.

NYH, Bartolotta, and Pollack, Communications Physics 2, 92 (2019). https://www.nature.com/articles/s42005-019-0179-8

See https://sites.google.com/view/pablopoggi/qchaos2020-seminars, where further information is provided, along with the actual streaming link.
 Web Site:    https:/ / sites.google.com/ view/ pablopoggi/ qchaos2020-seminars
 Host:  Pablo Poggi
 Location:  Zoom

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