Author

Guo-Liang Xu

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Preprint Oct 2026

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...

Guo-Liang Xu, Hao-Ran Zhang, Meng-Fan Wu et al. · 0 citations

Review Open access Sep 2026

On a Grover-Based Quantum Signature Scheme and a Teleportation-Based Design

Quantum computation, with tools including Grover’s algorithm, quantum walks, and quantum teleportation, plays an important role in quantum signature designs. Although such designs offer signature functionality, they sometimes come at the cost of security. This paper first reviews a Grover-based scheme and shows how man...

Guo-Liang Xu, Song Xue, Xiang-Fu Zou et al. · Entropy · 0 citations