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CATEGORIES:Lennard-Jones Centre
SUMMARY:Real-time Subspace Methods for Hamiltonian Eigenva
lue Estimation on Quantum Hardware - Katie Klymko\
, NERSC
DTSTART;TZID=Europe/London:20230605T140000
DTEND;TZID=Europe/London:20230605T143000
UID:TALK202060AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/202060
DESCRIPTION:One of the most promising expected applications of
near-term quantum computers lies in the study of
static and dynamical properties of quantum many-bo
dy systems. Many quantum computing algorithms have
been proposed with this goal in mind\, with a foc
us on Hamiltonian eigenvalue extraction\, a proble
m central to chemistry\, physics\, and materials s
cience. However\, the majority of established quan
tum algorithms require a prohibitively large numbe
r of resources for near-term hardware.\n\nHere we
describe the variational quantum phase estimation
(VQPE) method\, a compact and efficient real-time
subspace algorithm to extract eigenvalues using qu
antum hardware. We theoretically and numerically e
xplore a generalized Krylov scheme where the Krylo
v subspace is constructed through a parametrized r
eal-time evolution\, applicable to the VQPE algori
thm as well as others. We discuss its application
to fundamental problems in quantum computation suc
h as electronic structure predictions for strongly
correlated systems.
LOCATION:Zoom link: https://zoom.us/j/92447982065?pwd=RkhaY
kM5VTZPZ3pYSHptUXlRSkppQT09
CONTACT:Maria-Andreea Filip
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