How to Approximate any Objective Function via Quadratic Unconstrained Binary Optimization
Quantum Physics
2022-04-26 v1
Abstract
Quadratic unconstrained binary optimization (QUBO) has become the standard format for optimization using quantum computers, i.e., for both the quantum approximate optimization algorithm (QAOA) and quantum annealing (QA). We present a toolkit of methods to transform almost arbitrary problems to QUBO by (i) approximating them as a polynomial and then (ii) translating any polynomial to QUBO. We showcase the usage of our approaches on two example problems (ratio cut and logistic regression).
Cite
@article{arxiv.2204.11035,
title = {How to Approximate any Objective Function via Quadratic Unconstrained Binary Optimization},
author = {Thomas Gabor and Marian Lingsch Rosenfeld and Sebastian Feld and Claudia Linnhoff-Popien},
journal= {arXiv preprint arXiv:2204.11035},
year = {2022}
}