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
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.
收稿日期: 2012-07-02
出版日期: 2012-11-28
:
03.67.Dd
(Quantum cryptography and communication security)
03.67.-a
(Quantum information)
03.67.Pp
(Quantum error correction and other methods for protection against decoherence)
[1] Hillery M, Bu?ek V and Berthiaume A 1999 Phys. Rev. A 59 1829 1999 Phys. Rev. Lett. 83 648 2000 Phys. Rev. A 61 042311 Quantum Inf. Comput. 5 69Prov. IEEE Int. Symp. Inf. Theory (Adelaide Australia 4–9 September 2005) p 15982009 Phys. Rev. A 80 022321 2011 Chin. Phys. B 20 050309 2009 Chin. Phys. B 18 1342 2009 Chin. Phys. Lett. 26 010302 2011 Chin. Phys. Lett. 28 020304 2006 Chin. Phys. Lett. 23 1988 2007 Phys. Rev. Lett. 98 020503 2011 Phys. Rev. A 83 042303 2011 Phys. Rev. A 83 042324 1970 Commun. Math. Phys. 18 160 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press) pp 513–519 1997 Phys. Rev. A 56 33 1997 Phys. Rev. A 56 1721 2004 Chin. Phys. Lett. 21 1189 1997 Phys. Rev. A 55 900 2000 Phys. Rev. Lett. 84 2525 2006 Phys. Rev. A 74 042329
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.
[2]
.
[3]
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[4]
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[5]
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[6]
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[7]
.
[8]
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[9]
.
[10]
.
[11]
.
[12]
.
[13]
.
[14]
.
[15]
.
2012, Vol. 29 
