Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1603.06032 · International Journal of Theoretical Physics

A Generalized Information Theoretical Model for Quantum Secret Sharing

Chen‐Ming Bai, Zhihui Li, Ting-Ting Xu, Yongming Li

Published Jul 27, 2016• 23 citations
arXivHTMLPDF
DOI
10.1007/s10773-016-3121-9

Related papers

An information theoretic model for quantum secret sharing schemes

J. Mueller-Quade, A. Nascimento, Andreas Winter +2 more

•Jan 1, 2005•0 citations

Quantum secret sharing and quantum operations

Heling Xiao, Wang-Mei Guo, Xiao Wang

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 nocloning 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.

•Jan 1, 2012•0 citations

Quantum Secret Sharing Rates

Gabrielle Lalou, Husein Natur, Uzi Pereg

This paper studies the capacity limits for quantum secret sharing (QSS). The goal of a QSS scheme is to distribute a quantum secret among multiple participants, such that only authorized parties can recover it through collaboration, while no information can be obtained without such collaboration. We introduce an information-theoretic model for the rate analysis of QSS and its relation to compound quantum channels, following a similar approach as of Zou et al. (2015) on classical secret sharing. We establish a regularized characterization for the QSS capacity, and determine the capacity for QSS with dephasing noise.

quant-pharXiv:2512.22049•IEEE International Symposium on Information Theory (ISIT)•Dec 29, 2025•0 citations

An Abstract Approach towards Quantum Secret Sharing

Vladimir Zamdzhiev

•Jan 1, 2012•7 citations

An information theoretical model for quantum secret sharing schemes

H. Imai, Joern Mueller-Quade, Anderson C. A. Nascimento +2 more

Similarly to earlier models for quantum error correcting codes, we introduce a quantum information theoretical model for quantum secret sharing schemes. This model provides new insights into the theory of quantum secret sharing. By using our model, among other results, we give a shorter proof of Gottesman's theorem that the size of the shares in a quantum secret sharing scheme must be as large as the secret itself. Also, we introduced approximate quantum secret sharing schemes and showed robustness of quantum secret sharing schemes by extending Gottesman's theorem to the approximate case.

Quantum Information and Computation•Jan 1, 2005•18 citations

Quantum secret sharing based on quantum information masking

Chen‐Ming Bai, Sujuan Zhang, Lu Liu

Quantum Information Processing•Nov 11, 2022•17 citations
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 nocloning 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.
This paper studies the capacity limits for quantum secret sharing (QSS). The goal of a QSS scheme is to distribute a quantum secret among multiple participants, such that only authorized parties can recover it through collaboration, while no information can be obtained without such collaboration. We introduce an information-theoretic model for the rate analysis of QSS and its relation to compound quantum channels, following a similar approach as of Zou et al. (2015) on classical secret sharing. We establish a regularized characterization for the QSS capacity, and determine the capacity for QSS with dephasing noise.
Similarly to earlier models for quantum error correcting codes, we introduce a quantum information theoretical model for quantum secret sharing schemes. This model provides new insights into the theory of quantum secret sharing. By using our model, among other results, we give a shorter proof of Gottesman's theorem that the size of the shares in a quantum secret sharing scheme must be as large as the secret itself. Also, we introduced approximate quantum secret sharing schemes and showed robustness of quantum secret sharing schemes by extending Gottesman's theorem to the approximate case.