Quantum secret sharing and quantum operations
In this paper, we investigate the notion of quantum secret sharing (QSS) schemes based on quantum operations. We present the information theoretical model for QSS schemes using reversible operations and erase operations at first. We show that in pure state schemes, the recoverability requirement and the secrecy requirement are equivalent, which is regarded as a variant of no-cloning theorem. By establishing a relation between the quantum information quantity--coherent information and QSS schemes, the upper bound of quantum information rate is given. Finally, we propose a pure state threshold scheme with the form of quantum operations. The operations formalism of quantum secret sharing generalizes the theorey of QSS, and provides a unifying framework for the study of these schemes.
Keywords: Quantum Secret Sharing, Quantum Operation, Quantum Information Theory, Information Security
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ABOUT THE AUTHORS
Heling Xiao
Heling Xiao Received the B.S. degree in Information Secure from Xidian University, Xi¡¯an, China in 2007. Now she is a Master-Docter combined program graduate student in class of 2008. Her research interests are quantum secret sharing schemes and quantum secure communication.
Wangmei Guo
Wangmei Guo Received the B.S. degree in Information Secure and the Dr. degree in Communication and Information System from Xidian University, Xi¡¯an, China in 2006 and 2012 respectively. Her research interests are Convolutional network coding and Convolutional quantum coding.
Xiao Wang
Xiao Wang Received the B.S. degree in Communication Engineering and M.S. degree in Communication and Information System from Xidian University, Xi¡¯an, China in 2008 and 2011 respectively, where he is currently working toward the Ph.D. degree in Communication and Information System.
Heling Xiao
Heling Xiao Received the B.S. degree in Information Secure from Xidian University, Xi¡¯an, China in 2007. Now she is a Master-Docter combined program graduate student in class of 2008. Her research interests are quantum secret sharing schemes and quantum secure communication.
Wangmei Guo
Wangmei Guo Received the B.S. degree in Information Secure and the Dr. degree in Communication and Information System from Xidian University, Xi¡¯an, China in 2006 and 2012 respectively. Her research interests are Convolutional network coding and Convolutional quantum coding.
Xiao Wang
Xiao Wang Received the B.S. degree in Communication Engineering and M.S. degree in Communication and Information System from Xidian University, Xi¡¯an, China in 2008 and 2011 respectively, where he is currently working toward the Ph.D. degree in Communication and Information System.
