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SUMMARY:Optimizing and comparing quantum resources of statistical phase es
 timation and Krylov subspace diagonalization for chemistry - Pauline Ollit
 rault
DTSTART:20260306T160000Z
DTEND:20260306T173000Z
UID:TALK242968@talks.cam.ac.uk
CONTACT:Lila Cadi Tazi
DESCRIPTION:We develop a framework that enables direct and meaningful comp
 arison of two early fault-tolerant methods for the computation of eigen en
 ergies\, namely quantum Krylov subspace diagonalization (QKSD) and statist
 ical phase estimation (SPE)\, within which both methods use expectation va
 lues of Chebyshev polynomials of the Hamiltonian as input. For QKSD we ana
 lyze methods for distributing shots and the importance of ensuring suffici
 ent non-linearity of states spanning the Krylov space. For SPE we improve 
 rigorous error-bounds\, achieving a factor 1.5 reduction of circuit depth.
  We provide insights into the scalability of these methods by computing th
 e maximum circuit depth\, linearly related to the Chebyshev degree\, and t
 he respective number of repetitions required for the computation of molecu
 lar energies by means of density matrix renormalization group-enabled comp
 utations for active spaces with up to 54 electrons in 36 orbitals.
LOCATION:Wolfson Lecture Theatre Yusuf Hamied Department of Chemistry
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