Ab-initio variational wave functions for the time-dependent many-electron Schrödinger equation

J Nys, G Pescia, A Sinibaldi, G Carleo - Nature communications, 2024 - nature.com
Understanding the real-time evolution of many-electron quantum systems is essential for
studying dynamical properties in condensed matter, quantum chemistry, and complex …

Bridging physical intuition and hardware efficiency for correlated electronic states: the local unitary cluster Jastrow ansatz for electronic structure

M Motta, KJ Sung, KB Whaley, M Head-Gordon… - Chemical …, 2023 - pubs.rsc.org
A prominent goal in quantum chemistry is to solve the molecular electronic structure problem
for ground state energy with high accuracy. While classical quantum chemistry is a relatively …

Framework for efficient ab initio electronic structure with Gaussian Process States

Y Rath, GH Booth - Physical Review B, 2023 - APS
We present a general framework for the efficient simulation of realistic fermionic systems
with modern machine-learning-inspired representations of quantum many-body states …

Quantum Algorithm for Imaginary-Time Green's Functions

D Dhawan, D Zgid, M Motta - Journal of Chemical Theory and …, 2024 - ACS Publications
Green's function methods lead to ab initio, systematically improvable simulations of
molecules and materials while providing access to multiple experimentally observable …

Embedding classical variational methods in quantum circuits

S Barison, F Vicentini, G Carleo - arxiv preprint arxiv:2309.08666, 2023 - arxiv.org
We introduce a novel quantum-classical variational method that extends the quantum
devices capabilities to approximate ground states of interacting quantum systems. The …

Mott transition and volume law entanglement with neural quantum states

C Gauvin-Ndiaye, J Tindall, JR Moreno… - arxiv preprint arxiv …, 2023 - arxiv.org
The interplay between delocalisation and repulsive interactions can cause electronic
systems to undergo a Mott transition between a metal and an insulator. Here we use neural …

A Nonstochastic Optimization Algorithm for Neural-Network Quantum States

X Li, JC Huang, GZ Zhang, HE Li, CS Cao… - Journal of Chemical …, 2023 - ACS Publications
Neural-network quantum states (NQS) employ artificial neural networks to encode many-
body wave functions in a second quantization through variational Monte Carlo (VMC). They …

Quantum-Centric Algorithm for Sample-Based Krylov Diagonalization

J Yu, JR Moreno, JT Iosue, L Bertels… - arxiv preprint arxiv …, 2025 - arxiv.org
Approximating the ground state of many-body systems is a key computational bottleneck
underlying important applications in physics and chemistry. It has long been viewed as a …

Compact fermionic quantum state preparation with a natural-orbitalizing variational quantum eigensolving scheme

P Besserve, M Ferrero, T Ayral - arxiv preprint arxiv:2406.14170, 2024 - arxiv.org
Assemblies of strongly interacting fermions, whether in a condensed-matter or a quantum
chemistry context, range amongst the most promising candidate systems for which quantum …

Optimizing Unitary Coupled Cluster Wave Functions on Quantum Hardware: Error Bound and Resource-Efficient Optimizer

M Plazanet, T Ayral - arxiv preprint arxiv:2410.15129, 2024 - arxiv.org
In this work, we study the projective quantum eigensolver (PQE) approach to optimizing
unitary coupled cluster wave functions on quantum hardware, as introduced in arxiv …