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 chemistry in the age of quantum computing

Y Cao, J Romero, JP Olson, M Degroote… - Chemical …, 2019 - ACS Publications
Practical challenges in simulating quantum systems on classical computers have been
widely recognized in the quantum physics and quantum chemistry communities over the …

The power of block-encoded matrix powers: improved regression techniques via faster Hamiltonian simulation

S Chakraborty, A Gilyén, S Jeffery - ar** function and enhanced sampling for model predictive control in microgrids
H **g, Y Li, MJ Brandsema, Y Chen, M Yue - Applied Energy, 2024 - Elsevier
This paper presents a refined quantum Harrow Hassidim Lloyd (HHL) algorithm for
microgrid control. The first novelty of the developed method is that a map** shift function …

Quantum algorithm design: techniques and applications

C Shao, Y Li, H Li - Journal of Systems Science and Complexity, 2019 - Springer
In recent years, rapid developments of quantum computer are witnessed in both the
hardware and the algorithm domains, making it necessary to have an updated review of …

A quantum interior-point predictor–corrector algorithm for linear programming

PAM Casares, MA Martin-Delgado - Journal of physics A …, 2020 - iopscience.iop.org
We introduce a new quantum optimization algorithm for dense linear programming
problems, which can be seen as the quantization of the interior point predictor–corrector …

Hamiltonian simulation with nearly optimal dependence on spectral norm

GH Low - Proceedings of the 51st Annual ACM SIGACT …, 2019 - dl.acm.org
We present a quantum algorithm for approximating the real time evolution e− iHt of an
arbitrary d-sparse Hamiltonian to error є, given black-box access to the positions and b-bit …