Quantum Algorithm for Maximum Satisfiability

Satisfiability (SAT) problem in engineering and computer science is to find the set of assignment values of input variables for the given Boolean function that evaluate this function to TRUE or prove that such satisfying values do not exist. For POS SAT Problem, we propose a novel quantum algorithm for the maximum satisfiability (MAX-SAT) which returns the maximum number of OR terms that are satisfied for the SAT-unsatisfiable function, providing us with the information how far the given Boolean function is from the SAT satisfaction. We use Grover's algorithm with a new block called quantum counter in the oracle circuit.