Exact Quantum Query Complexity of the Five-Bit Symmetric Boolean Function $\Exact^5_{3,4}$
Let \(f = \text{EXACT}^5_{3,4}\) be the Boolean function that equals 1 exactly on inputs of Hamming weight 3 or 4. Earlier numerical studies reported success probabilities close to one using three queries, but the existence of an exact three-query algorithm had remained unresolved. This paper settles this problem by pr...