Solving 3SAT and MIS Problems with Analog Quantum Machines
Résumé
This work considers the use of analog quantum machines
to solve the boolean satisfiability problem 3SAT by taking Quadratic
Unconstrained Binary Optimization models (QUBO) as input. With
the aim of using real quantum computers instead of emulators to solve
instances of the problem, we choose the D-Wave quantum machines,
which have a static topology and limited connectivity. Therefore, the
choice of the problem formulation must take these important constraints
into account. For this reason, we propose to solve 3SAT instances through
polynomial-time reduction to the Maximum Independent Set problem.
This is because the resulting graph is less dense and requires lower con-
nectivity than the one that would be produced by directly modeling
3SAT into a QUBO.
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