Challenges and opportunities in quantum optimization

A Abbas, A Ambainis, B Augustino, A Bärtschi… - Nature Reviews …, 2024 - nature.com
Quantum computers have demonstrable ability to solve problems at a scale beyond brute-
force classical simulation. Interest in quantum algorithms has developed in many areas …

Quantum-centric supercomputing for materials science: A perspective on challenges and future directions

Y Alexeev, M Amsler, MA Barroca, S Bassini… - Future Generation …, 2024 - Elsevier
Computational models are an essential tool for the design, characterization, and discovery
of novel materials. Computationally hard tasks in materials science stretch the limits of …

Variational benchmarks for quantum many-body problems

D Wu, R Rossi, F Vicentini, N Astrakhantsev, F Becca… - Science, 2024 - science.org
The continued development of computational approaches to many-body ground-state
problems in physics and chemistry calls for a consistent way to assess its overall progress …

Nuclear shell-model simulation in digital quantum computers

A Pérez-Obiol, AM Romero, J Menéndez, A Rios… - Scientific Reports, 2023 - nature.com
The nuclear shell model is one of the prime many-body methods to study the structure of
atomic nuclei, but it is hampered by an exponential scaling on the basis size as the number …

[PDF][PDF] Early fault-tolerant quantum computing

A Katabarwa, K Gratsea, A Caesura, PD Johnson - PRX Quantum, 2024 - APS
In recent years, research in quantum computing has largely focused on two approaches:
near-term intermediate-scale quantum (NISQ) computing and future fault-tolerant quantum …

Quantum optimization: Potential, challenges, and the path forward

A Abbas, A Ambainis, B Augustino, A Bärtschi… - arXiv preprint arXiv …, 2023 - arxiv.org
Recent advances in quantum computers are demonstrating the ability to solve problems at a
scale beyond brute force classical simulation. As such, a widespread interest in quantum …

Hunting for quantum-classical crossover in condensed matter problems

N Yoshioka, T Okubo, Y Suzuki, Y Koizumi… - npj Quantum …, 2024 - nature.com
The intensive pursuit for quantum advantage in terms of computational complexity has
further led to a modernized crucial question of when and how will quantum computers …

Nearly optimal state preparation for quantum simulations of lattice gauge theories

CF Kane, N Gomes, M Kreshchuk - Physical Review A, 2024 - APS
We present several improvements to the recently developed ground-state preparation
algorithm based on the quantum eigenvalue transformation for unitary matrices (QETU) …

Subspace methods for electronic structure simulations on quantum computers

M Motta, W Kirby, I Liepuoniute, KJ Sung… - Electronic …, 2024 - iopscience.iop.org
Quantum subspace methods (QSMs) are a class of quantum computing algorithms where
the time-independent Schrödinger equation for a quantum system is projected onto a …

Quantum simulations of fermionic hamiltonians with efficient encoding and ansatz schemes

B Huang, N Sheng, M Govoni… - Journal of Chemical Theory …, 2023 - ACS Publications
We propose a computational protocol for quantum simulations of fermionic Hamiltonians on
a quantum computer, enabling calculations on spin defect systems which were previously …