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A Tutorial on Formulating and Using QUBO Models

A Tutorial on Formulating and Using QUBO Models Fred Glover1, Gary Kochenberger2, Yu Du2. May 2019. Abstract The Quadratic Unconstrained Binary Optimization (QUBO) model has gained prominence in recent years with the discovery that it unifies a rich variety of combinatorial optimization problems. By its association with the Ising problem in physics , the QUBO model has emerged as an underpinning of the quantum computing area known as quantum annealing and has become a subject of study in neuromorphic computing. Through these connections, QUBO Models lie at the heart of experimentation carried out with quantum computers developed by D-Wave Systems and neuromorphic computers developed by IBM.

modeling and solving many important problems is a new development in the field of combinatorial optimization. The significance of this situation is enhanced by the fact that the QUBO model can be shown to be equivalent to the Ising model that plays a prominent role in physics, as highlighted in in the paper by Lucas (2014).

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