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 …

Parameterized Complexity of Weighted Local Hamiltonian Problems and the Quantum Exponential Time Hypothesis

MJ Bremner, Z Ji, X Li, L Mathieson… - arxiv preprint arxiv …, 2022 - arxiv.org
We study a parameterized version of the local Hamiltonian problem, called the weighted
local Hamiltonian problem, where the relevant quantum states are superpositions of …