Comparing QUBO Models of the Magic Square Problem for Quantum Annealing
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN: 1611-3349, Vol: 13838 LNCS, Page: 470-477
2023
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Conference Paper Description
QUBO (Quadratic Unconstrained Binary Optimization) has become the modeling language for quantum annealing and quantum-inspired annealing solvers. We present different modeling in QUBO of the Magic Square problem, which can be modeled by linear equations and a permutation constraint over integer variables. Different ways of encoding integers by Booleans in QUBO amounts to models that have very different performance. Experiments performed on the Fixstars Amplify Annealer Engine, a quantum-inspired annealing solver, show that using unary encoding for integers performs much better than using the classical one-hot encoding.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85149638107&origin=inward; http://dx.doi.org/10.1007/978-3-031-26504-4_35; https://link.springer.com/10.1007/978-3-031-26504-4_35; https://dx.doi.org/10.1007/978-3-031-26504-4_35; https://link.springer.com/chapter/10.1007/978-3-031-26504-4_35
Springer Science and Business Media LLC
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