Hi, quanta,
I’m giving an ITAMP Seminar about entropic uncertainty relations for
quantum-information scrambling at Harvard this Thursday. Come early for
free pizza! See below for details.
Best,
Nicole
--
Nicole Yunger Halpern
ITAMP Postdoctoral Fellow
Harvard-Smithsonian Institute for Theoretical Atomic, Molecular, and
Optical Physics (ITAMP)
Harvard University Department of Physics
nicoleyh.11(a)gmail.com
*Entropic uncertainty relations for quantum-information scrambling*
*Abstract*: How violently do two quantum operators disagree? Different
subfields of physics feature different notions of incompatibility: (i) In
quantum information theory, uncertainty relations are cast in terms of
entropies. These e*ntropic 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 quantum 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 entropies are
of distributions over weak and strong measurements’ possible outcomes. The
uncertainty bound strengthens when a spin chain scrambles in numerical
simulations. Hence the subfields—quantum information, condensed matter, and
high-energy physics—can agree about when quantum operations disagree. Our
relation can be tested experimentally with superconducting qubits, trapped
ions, and quantum dots.
NYH, Bartolotta, and Pollack, accepted by Comms. Phys. (in press)
arXiv:1806.04147 (arXiv manuscript to be updated this week).
*Time*: Thurs., 2/28/19, 12-1 PM
*Location: *B-106 at Harvard-Smithsonian Center for Astrophysics (CfA, 60
Garden Street
<https://maps.google.com/?q=60+Garden+Street&entry=gmail&source=g>)
*Directions: *After entering the lobby of the CfA, turn right to enter the
hallway of the B building. In the hallway, turn right again, B-106 will be
at the end of the hallway on the left side.
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