Quantum algorithms for quantum dynamics

A Miessen, PJ Ollitrault, F Tacchino… - Nature Computational …, 2023 - nature.com
Among the many computational challenges faced across different disciplines, quantum-
mechanical systems pose some of the hardest ones and offer a natural playground for the …

Quantum computing for high-energy physics: State of the art and challenges

A Di Meglio, K Jansen, I Tavernelli, C Alexandrou… - PRX Quantum, 2024 - APS
Quantum computers offer an intriguing path for a paradigmatic change of computing in the
natural sciences and beyond, with the potential for achieving a so-called quantum …

The future of quantum computing with superconducting qubits

S Bravyi, O Dial, JM Gambetta, D Gil… - Journal of Applied …, 2022 - pubs.aip.org
For the first time in history, we are seeing a branching point in computing paradigms with the
emergence of quantum processing units (QPUs). Extracting the full potential of computation …

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 …

Orders of magnitude increased accuracy for quantum many-body problems on quantum computers via an exact transcorrelated method

IO Sokolov, W Dobrautz, H Luo, A Alavi… - Physical Review …, 2023 - APS
Transcorrelated methods provide an efficient way of partially transferring the description of
electronic correlations from the ground-state wave function directly into the underlying …

Provable bounds for noise-free expectation values computed from noisy samples

SV Barron, DJ Egger, E Pelofske, A Bärtschi… - Nature Computational …, 2024 - nature.com
Quantum computing has emerged as a powerful computational paradigm capable of solving
problems beyond the reach of classical computers. However, today's quantum computers …

Variational quantum time evolution without the quantum geometric tensor

J Gacon, J Nys, R Rossi, S Woerner, G Carleo - Physical Review Research, 2024 - APS
Real-and imaginary-time quantum state evolutions are crucial in physics and chemistry for
exploring quantum dynamics, preparing ground states, and computing thermodynamic …

A variational quantum algorithm for the Feynman-Kac formula

H Alghassi, A Deshmukh, N Ibrahim, N Robles… - Quantum, 2022 - quantum-journal.org
We propose an algorithm based on variational quantum imaginary time evolution for solving
the Feynman-Kac partial differential equation resulting from a multidimensional system of …

Variational quantum simulation of partial differential equations: applications in colloidal transport

FY Leong, DE Koh, WB Ewe, JF Kong - … Methods for Heat & Fluid Flow, 2023 - emerald.com
Purpose This study aims to assess the use of variational quantum imaginary time evolution
for solving partial differential equations using real-amplitude ansätze with full circular …

Orders of magnitude reduction in the computational overhead for quantum many-body problems on quantum computers via an exact transcorrelated method

IO Sokolov, W Dobrautz, H Luo, A Alavi… - arXiv preprint arXiv …, 2022 - arxiv.org
Transcorrelated methods provide an efficient way of partially transferring the description of
electronic correlations from the ground state wavefunction directly into the underlying …