QUANTUM INFORMATION THEORETICAL ANALYSIS OF VARIOUS CONSTRUCTIONS FOR QUANTUM SECRET SHARING

摘要

Recently, an information theoretical model for Quantum. Secret Sharing (QSS) schemes was introduced. By using this model, we prove that pure state Quantum, Threshold Schemes (QTS) can be constructed from, quantum, MDS codes and vice versa. In particular, we consider stabilizer codes and give a constructive proof of their relation with QTS. Furthermore, the recoverability and secrecy requirement are checked for the Monotone Span Program, (MSP) construction.