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Quantum Information Theoretical Analysis of Quantum Secret Sharing |
XIAO He-Ling**, GUO Wang-Mei, WANG Xiao |
State Key Laboratory of Integrated Service Networks, Xidian University, Xi'an 710071
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Cite this article: |
XIAO He-Ling, GUO Wang-Mei, WANG Xiao 2012 Chin. Phys. Lett. 29 110301 |
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Abstract 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.
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Received: 02 July 2012
Published: 28 November 2012
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PACS: |
03.67.Dd
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(Quantum cryptography and communication security)
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03.67.-a
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(Quantum information)
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03.67.Pp
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(Quantum error correction and other methods for protection against decoherence)
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