A blueprint for a Digital-Analog Variational Quantum Eigensolver using Rydberg atom arrays

Abstract

We address the task of estimating the ground-state energy of Hamiltonians coming from chemistry. We study numerically the behavior of a digital-analog variational quantum eigensolver for the H2, LiH and BeH2 molecules, and we observe that one can estimate the energy to a few percent points of error leveraging on learning the atom register positions with respect to selected features of the molecular Hamiltonian and then an iterative pulse shaping optimization, where each step performs a derandomization energy estimation.

Digitized counterdiabatic quantum optimization

“…This report explores the possibility of factoring larger numbers with compressed algorithms in given quantum computers, rather than proving any scalability of computational resources. On the other hand, further use of analog [3,4] or digital-analog encoding schemes [5][6][7] may pave the way towards factoring RSA-2048 in the NISQ era, without the long wait for faulttolerant quantum computers.…”

“…Going beyond that with current digital quantum computers, for given gate fidelities and coherence times, looks like a challenging task. However, alternative approaches like digital-analog quantum computing, involving multiqubit analog blocks in combination with local digital steps, might tackle RSA-2048, bringing quantum advantage to the NISQ era [5][6][7]. Moreover, one could also consider this problem on programmable analog quantum simulators, like neutral atom devices [4,18], with Floquet engineering techniques.…”