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20202025
most citedAvoiding local minima in variational quantum eigensolvers with the natural gradient optimizer

155 citations

14 papers

quant-ph2025★ 5 cited

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…

quant-ph2024★ 4 cited

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…

cond-mat.quant-gas2024★ 5 cited

Simulating Chemistry with Fermionic Optical Superlattices

Fotios Gkritsis, Daniel Dux, Jin Zhang +3

We show that quantum number preserving Ansätze for variational optimization in quantum chemistry find an elegant mapping to ultracold fermions in optical superlattices. Using nativ…

quant-ph2024★ 13 cited

Tailored and Externally Corrected Coupled Cluster with Quantum Inputs

Maximilian Scheurer, Gian-Luca R. Anselmetti, Oumarou Oumarou +2

We propose to use wavefunction overlaps obtained from a quantum computer as inputs for the classical split-amplitude techniques, tailored and externally corrected coupled cluster,…

quant-ph2023★ 7 cited

Estimation of electrostatic interaction energies on a trapped-ion quantum computer

Pauline J. Ollitrault, Matthias Loipersberger, Robert M. Parrish +12

We present the first hardware implementation of electrostatic interaction energies using a trapped-ion quantum computer. As test system for our computation, we focus on the reducti…

quant-ph2023★ 15 cited

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…

quant-ph2022★ 19 cited

Accelerating Quantum Computations of Chemistry Through Regularized Compressed Double Factorization

Oumarou Oumarou, Maximilian Scheurer, Robert M. Parrish +2

We propose the regularized compressed double factorization (RC-DF) method to classically compute compressed representations of molecular Hamiltonians that enable efficient simulati…

quant-ph2022★ 69 cited

Purification-based quantum error mitigation of pair-correlated electron simulations

T. E. O'Brien, G. Anselmetti, F. Gkritsis +173

An important measure of the development of quantum computing platforms has been the simulation of increasingly complex physical systems. Prior to fault-tolerant quantum computing,…

quant-ph2022★ 16 cited

Efficient Quantum Analytic Nuclear Gradients with Double Factorization

Edward G. Hohenstein, Oumarou Oumarou, Rachael Al-Saadon +4

Efficient representations of the Hamiltonian such as double factorization drastically reduce circuit depth or number of repetitions in error corrected and noisy intermediate scale…

quant-ph2022★ 17 cited

Optimizing the information extracted by a single qubit measurement

Stefano Polla, Gian-Luca R. Anselmetti, Thomas E. O'Brien

We consider a quantum computation that only extracts one bit of information per -qubit quantum state preparation. This is relevant for error mitigation schemes where the remaind…

quant-ph2021★ 7 cited

Local, Expressive, Quantum-Number-Preserving VQE Ansatze for Fermionic Systems

Gian-Luca R. Anselmetti, David Wierichs, Christian Gogolin +1

We propose VQE circuit fabrics with advantageous properties for the simulation of strongly correlated ground and excited states of molecules and materials under the Jordan-Wigner m…

quant-ph2020★ 3 cited

Locality of temperature and correlations in the presence of non-zero-temperature phase transitions

Senaida Hernández Santana, Andras Molnar, Christian Gogolin +2

While temperature is well understood as an intensive quantity in standard thermodynamics, it is less clear whether the same holds in the presence of strong correlations, especially…

quant-ph2020★ 155 cited

Avoiding local minima in variational quantum eigensolvers with the natural gradient optimizer

David Wierichs, Christian Gogolin, Michael Kastoryano

We compare the BFGS optimizer, ADAM and Natural Gradient Descent (NatGrad) in the context of Variational Quantum Eigensolvers (VQEs). We systematically analyze their performance on…

quant-ph2020★ 52 cited

Simulating quantum chemistry in the seniority-zero space on qubit-based quantum computers

Vincent E. Elfving, Marta Millaruelo, José A. Gámez +1

Accurate quantum chemistry simulations remain challenging on classical computers for problems of industrially relevant sizes and there is reason for hope that quantum computing may…