An information theoretical model for quantum secret sharing schemes

2005 ◽  
Vol 5 (1) ◽  
pp. 68-79 ◽  
Author(s):  
H. Imai ◽  
J. Mueller-Quade ◽  
A.C.A. Nascimento ◽  
P. Tuyls ◽  
A. Winter
Keyword(s):  
Quantum Information ◽  
Theoretical Model ◽  
Secret Sharing ◽  
Quantum Secret Sharing ◽  
Error Correcting Codes ◽  
Secret Sharing Schemes ◽  
Secret Sharing Scheme ◽  
Sharing Scheme ◽  
Quantum Error ◽  
Quantum Secret Sharing Scheme

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.

scholarly journals Standard (3, 5)-threshold quantum secret sharing by maximally entangled 6-qubit states

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yinxiang Long ◽  
Cai Zhang ◽  
Zhiwei Sun
Keyword(s):  
Secret Sharing ◽  
Quantum Secret Sharing ◽  
The Other ◽  
Entangled States ◽  
Secret Sharing Schemes ◽  
Secret Sharing Scheme ◽  
Sharing Scheme ◽  
Qubit States ◽  
Quantum Secret Sharing Scheme

AbstractIn this paper, a standard (3, 5)-threshold quantum secret sharing scheme is presented, in which any three of five participants can resume cooperatively the classical secret from the dealer, but one or two shares contain absolutely no information about the secret. Our scheme can be fulfilled by using the singular properties of maximally entangled 6-qubit states found by Borras. We analyze the scheme’s security by several ways, for example, intercept-and-resend attack, entangle-and-measure attack, and so on. Compared with the other standard threshold quantum secret sharing schemes, our scheme needs neither to use d-level multipartite entangled states, nor to produce shares by classical secret splitting techniques, so it is feasible to be realized.

scholarly journals Localizing and excluding quantum information; or, how to share a quantum secret in spacetime

Quantum ◽  
2019 ◽  
Vol 3 ◽  
pp. 196
Author(s):  
Patrick Hayden ◽  
Alex May
Keyword(s):  
Quantum Information ◽  
Quantum System ◽  
Secret Sharing ◽  
Quantum Secret Sharing ◽  
Secret Sharing Scheme ◽  
Access Structures ◽  
Sharing Scheme ◽  
Assembly Tasks ◽  
Quantum Secret Sharing Scheme

When can quantum information be localized to each of a collection of spacetime regions, while also excluded from another collection of regions? We answer this question by defining and analyzing the localize-exclude task, in which a quantum system must be localized to a collection of authorized regions while also being excluded from a set of unauthorized regions. This task is a spacetime analogue of quantum secret sharing, with authorized and unauthorized regions replacing authorized and unauthorized sets of parties. Our analysis yields the first quantum secret sharing scheme for arbitrary access structures for which the number of qubits required scales polynomially with the number of authorized sets. We also study a second related task called state-assembly, in which shares of a quantum system are requested at sets of spacetime points. We fully characterize the conditions under which both the localize-exclude and state-assembly tasks can be achieved, and give explicit protocols. Finally, we propose a cryptographic application of these tasks which we call party-independent transfer.

Notes on two multiparty quantum secret sharing schemes

2018 ◽  
Vol 16 (03) ◽  
pp. 1850030 ◽  
Author(s):  
Gan Gao
Keyword(s):  
Secret Sharing ◽  
Research Method ◽  
Quantum Secret Sharing ◽  
Bell States ◽  
Secret Sharing Schemes ◽  
Secret Sharing Scheme ◽  
Sharing Scheme ◽  
Quantum Secret Sharing Scheme ◽  
Attack Strategy

In the paper [H. Abulkasim et al., Int. J. Quantum Inform. 15 (2017) 1750023], Abulkasim et al. proposed a quantum secret sharing scheme based on Bell states. We study the security of the multiparty case in the proposed scheme and detect that it is not secure. In the paper [Y. Du and W. Bao, Opt. Commun. 308 (2013) 159], Du and Bao listed Gao’s scheme and gave a attack strategy on the listed scheme. We point out that their listing scheme is not the genuine Gao’s scheme and their research method is not advisable.

A SIMPLE AND SECURE QUANTUM SECRET SHARING SCHEME BASED ON PRODUCT STATES

2012 ◽  
Vol 10 (03) ◽  
pp. 1250031 ◽  
Author(s):  
JUAN XU ◽  
HANWU CHEN ◽  
ZHIHAO LIU
Keyword(s):  
Secret Sharing ◽  
Partial Information ◽  
Information Leakage ◽  
Quantum Secret Sharing ◽  
Secret Sharing Scheme ◽  
Distribution Strategy ◽  
Sharing Scheme ◽  
Coding Method ◽  
Orthogonal Set ◽  
Quantum Secret Sharing Scheme

Based on an orthogonal set of product states of two three-state particles, a new quantum secret sharing scheme is proposed, which uses a novel distribution strategy so that continuous and independent measurements, rather than particle-wise coordinated ones, are performed. As a result, it is convenient and efficient to implement. The scheme is also secure against several common attacks and gets rid of partial-information leakage due to the revised coding method. Moreover, the quantitative analysis shows that the security can be further improved by using more product states from appropriate multiple sets.

Cryptanalysis and improvement of the novel semi-quantum secret sharing scheme based on Bell states

2018 ◽  
Vol 32 (25) ◽  
pp. 1850294 ◽  
Author(s):  
Bingren Chen ◽  
Wei Yang ◽  
Liusheng Huang
Keyword(s):  
Secret Sharing ◽  
Quantum Key Distribution ◽  
Quantum Secret Sharing ◽  
Key Distribution ◽  
Bell States ◽  
Secret Sharing Scheme ◽  
The Novel ◽  
Improvement Strategy ◽  
Sharing Scheme ◽  
Quantum Secret Sharing Scheme

A recent paper proposed a semi-quantum secret sharing (SQSS) scheme based on Bell states [A. Yin et al., Mod. Phys. Lett. B. https://doi.org/10.1142/S0217984917501500 ]. This protocol was presumed that only the sender has the quantum power and all participants perform classical operations. However, we find this protocol is not that secure as it is expected. We can utilize the intercept-resend method to attack this scheme. Then, we give an improvement strategy based on semi-quantum key distribution, which ensures that the new scheme resists the attack we have proposed.

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