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 …

Molecular quantum dynamics: A quantum computing perspective

PJ Ollitrault, A Miessen, I Tavernelli - Accounts of Chemical …, 2021 - ACS Publications
Conspectus Simulating molecular dynamics (MD) within a comprehensive quantum
framework has been a long-standing challenge in computational chemistry. An exponential …

Solving nonlinear differential equations with differentiable quantum circuits

O Kyriienko, AE Paine, VE Elfving - Physical Review A, 2021 - APS
We propose a quantum algorithm to solve systems of nonlinear differential equations. Using
a quantum feature map encoding, we define functions as expectation values of parametrized …

The bitter truth about gate-based quantum algorithms in the NISQ era

F Leymann, J Barzen - Quantum Science and Technology, 2020 - iopscience.iop.org
Implementing a gate-based quantum algorithm on an noisy intermediate scale quantum
(NISQ) device has several challenges that arise from the fact that such devices are noisy …

Quantum risk analysis

S Woerner, DJ Egger - npj Quantum Information, 2019 - nature.com
We present a quantum algorithm that analyzes risk more efficiently than Monte Carlo
simulations traditionally used on classical computers. We employ quantum amplitude …

Hybrid quantum algorithms for flow problems

SS Bharadwaj, KR Sreenivasan - Proceedings of the …, 2023 - National Acad Sciences
For quantum computing (QC) to emerge as a practically indispensable computational tool,
there is a need for quantum protocols with end-to-end practical applications—in this …

Encoding patterns for quantum algorithms

M Weigold, J Barzen, F Leymann… - IET Quantum …, 2021 - Wiley Online Library
As quantum computers are based on the laws of quantum mechanics, they are capable of
solving certain problems faster than their classical counterparts. However, quantum …

[HTML][HTML] A survey on HHL algorithm: From theory to application in quantum machine learning

B Duan, J Yuan, CH Yu, J Huang, CY Hsieh - Physics Letters A, 2020 - Elsevier
Abstract The Harrow-Hassidim-Lloyd (HHL) algorithm is a method to solve the quantum
linear system of equations that may be found at the core of various scientific applications …

Design of an ultra-broadband terahertz absorber based on a patterned graphene metasurface with machine learning

Z Ding, W Su, Y Luo, L Ye, H Wu, H Yao - Journal of Materials …, 2023 - pubs.rsc.org
The development of patterned graphene metasurface absorbers (PGMAs) offers potential
solutions for achieving light weight, thinness, wide absorption bandwidth, and tunable …

Expanding data encoding patterns for quantum algorithms

M Weigold, J Barzen, F Leymann… - 2021 IEEE 18th …, 2021 - ieeexplore.ieee.org
As quantum computers are based on the laws of quantum mechanics, they are capable of
solving certain problems faster than their classical counterparts. However, often algorithms …