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SUMMARY:Real-time Subspace Methods for Hamiltonian Eigenvalue Estimation o
 n Quantum Hardware - Katie Klymko\, NERSC 
DTSTART:20230605T130000Z
DTEND:20230605T133000Z
UID:TALK202060@talks.cam.ac.uk
CONTACT:Maria-Andreea Filip
DESCRIPTION:One of the most promising expected applications of near-term q
 uantum computers lies in the study of static and dynamical properties of q
 uantum many-body systems. Many quantum computing algorithms have been prop
 osed with this goal in mind\, with a focus on Hamiltonian eigenvalue extra
 ction\, a problem central to chemistry\, physics\, and materials science. 
 However\, the majority of established quantum algorithms require a prohibi
 tively large number of resources for near-term hardware.\n\nHere we descri
 be the variational quantum phase estimation (VQPE) method\, a compact and 
 efficient real-time subspace algorithm to extract eigenvalues using quantu
 m hardware. We theoretically and numerically explore a generalized Krylov 
 scheme where the Krylov subspace is constructed through a parametrized rea
 l-time evolution\, applicable to the VQPE algorithm 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=RkhaYkM5VTZPZ3pYSHpt
 UXlRSkppQT09
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