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Quantum secret sharing (QSS) schemes are analyzed from an information theoretical perspective centered on the Araki-Lieb inequality.Based on this inequality,mathematical characterizations of QSS schemes and quantum error-correcting codes (QECCs) are given.Furthermore,we present a proof of the relation between QSS schemes and QECCs. This information theoretic description of QSS schemes is used to derive the quantum Singleton bound.