4 papers · 1 filter
Optimizing and Comparing Quantum Resources of Statistical Phase Estimation and Krylov Subspace Diagonalization
Oumarou Oumarou, Pauline J. Ollitrault, Stefano Polla +1
We develop a framework that enables direct and meaningful comparison of two early fault-tolerant methods for the computation of eigenenergies, namely \gls{qksd} and \gls{spe}, with…
Error mitigation and circuit division for early fault-tolerant quantum phase estimation
Alicja Dutkiewicz, Stefano Polla, Maximilian Scheurer +3
As fully fault-tolerant quantum computers capable of solving useful problems remain a distant goal, we anticipate an era of "early fault tolerance" where limited error correction i…
Molecular Properties from Quantum Krylov Subspace Diagonalization
Oumarou Oumarou, Pauline J. Ollitrault, Cristian L. Cortes +3
Quantum Krylov subspace diagonalization is a prominent candidate for early fault tolerant quantum simulation of many-body and molecular systems, but so far the focus has been mainl…
Quantum Simulation of Realistic Materials in First Quantization Using Non-local Pseudopotentials
Dominic W. Berry, Nicholas C. Rubin, Ahmed O. Elnabawy +5
This paper improves and demonstrates the usefulness of the first quantized plane-wave algorithms for the quantum simulation of electronic structure, developed by Babbush et al. and…