How to Approximate any Objective Function via Quadratic Unconstrained Binary Optimization

Thomas Gabor, Marian Lingsch-Rosenfeld, Claudia Linnhoff–Popien, Sebastian Feld · 2022 IEEE International Conference on Software Analysis, Evolution and Reengineering (SANER) · 2022

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).

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