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SUMMARY:Variational and Projective Quantum Algorithms for Efficient Hamilt
 onian Eigenvalue Determination - Dr Andreea Filip ( University of Cambridg
 e)
DTSTART:20250127T143000Z
DTEND:20250127T150000Z
UID:TALK226999@talks.cam.ac.uk
CONTACT:Alexander R Epstein
DESCRIPTION:In this talk\, I will discuss two newly developed methodologie
 s to reduce the cost of Hamiltonian eigenvalue estimation using quantum co
 mputers. The first employs a constant circuit depth variational fast-forwa
 rding representation of the polynomially scaling time-evolution operator t
 o obtain approximate time-evolved states for use in a Krylov subspace expa
 nsion. This leads to a substantial reduction in circuit depth with negligi
 ble effects on accuracy. The second\, a Monte Carlo Projective Quantum Eig
 ensolver (MC-PQE) draws inspiration from conventional Quantum Monte Carlo 
 algorithms to build a methodology which requires orders of magnitude fewer
  quantum measurements to obtain accurate energy estimates\, while also avo
 iding local minima the Variational Quantum Eigensolver is prone to get cau
 ght in. Finally\, it reduces the cost of variance-based optimisation metho
 ds for excited states to match that of ground state calculations\, making 
 it a versatile approach for approximating arbitrary Hamiltonian eigenstate
 s.
LOCATION:Unilever  Lecture Theatre\, Department of Chemistry
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