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Quantum Optimization

Mapping NP-hard and NP-complete optimisation problems to Quadratic Unconstrained Binary Optimisation problems

arXiv
Authors: Bas Lodewijks

Year

2019

Paper ID

14718

Status

Preprint

Abstract Read

~2 min

Abstract Words

45

Citations

N/A

Abstract

We discuss several mappings from well-known NP-hard problems to Quadratic Unconstrained Binary Optimisation problems which are treated incorrectly by Lucas. We provide counterexamples and correct the mappings. We also extend the body of QUBO formulations of NP-complete and NP-hard optimisation problems by discussing additional problems.

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  • This paper contributes to the Quantum Optimization research area in the Quantum Articles archive.
  • It adds a 2019 reference point for readers tracking recent quantum research.
  • We discuss several mappings from well-known NP-hard problems to Quadratic Unconstrained Binary Optimisation problems which are treated incorrectly by Lucas.

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