Augmented ((t,n))-threshold Quantum Secret Sharing Schemes

We explore a generalization of quantum secret sharing (QSS) in which classical shares play a complementary role to quantum shares, exploring further consequences of an idea first studied by Nascimento, Mueller-Quade, and Imai [Phys. Rev. A 64, 042311 (2001)]. We examine three ways, termed inflation, compression, and twin thresholding, by which the proportion of classical shares can be augmented. This has the important application that it reduces quantum (information processing) players by replacing them with their classical counterparts, thereby making quantum secret sharing considerably easier and less expensive to implement in a practical setting. In compression, a QSS scheme is turned into an equivalent scheme with fewer quantum players, compensated for by suitable classical shares. In inflation, a QSS scheme is enlarged by adding only classical shares and players. In a twin-threshold scheme, we invoke two separate thresholds for classical and quantum shares based on the idea of information dilution.We explore a generalization of quantum secret sharing (QSS) in which classical shares play a complementary role to quantum shares, exploring further consequences of an idea first studied by Nascimento, Mueller-Quade, and Imai [Phys. Rev. A 64, 042311 (2001)]. We examine three ways, termed inflation, compression, and twin thresholding, by which the proportion of classical shares can be augmented. This has the important application that it reduces quantum (information processing) players by replacing them with their classical counterparts, thereby making quantum secret sharing considerably easier and less expensive to implement in a practical setting. In compression, a QSS scheme is turned into an equivalent scheme with fewer quantum players, compensated for by suitable classical shares. In inflation, a QSS scheme is enlarged by adding only classical shares and players. In a twin-threshold scheme, we invoke two separate thresholds for classical and quantum shares based on the idea of information dilution.

arXiv:quant-ph/0307200Physical Review AJan 19, 2005122 citations

Member expansion in quantum (t,n) threshold secret sharing schemes

Yu‐Guang Yang, Yuan Wang, Hai-Ping Chai +2 more

Optics CommunicationsApr 14, 201155 citations

( $t$ , $n$ ) Threshold Quantum Secret Sharing based on a Single $d$ -level Quantum System($t$, $n$) Threshold Quantum Secret Sharing based on a Single $d$-level Quantum System

Changbin Lu, Fuyou Miao, Junpeng Hou

A ( $t$ , $n$ ) threshold quantum secret sharing (QSS) is proposed based on a single $d$ -level quantum system. It enables the ( $t$ , $n$ ) threshold structure based on Shamir's secret sharing and simply requires sequential communication in the $d$ -level quantum system to recover secret. Besides, the scheme employs an additional qudit to detect cheats and eavesdropping during secret reconstruction, and allows a participant to use the share repeatedly. Analyses show that the proposed scheme is resistant to typical attacks. The scheme is scalable in the number of participants and easier to realize compared to related schemes. More generally, our scheme also presents a generic method to construct new ( $t$ , $n$ ) threshold QSS schemes based on $d$ -level quantum system with other classical threshold secret sharing.A ($t$, $n$) threshold quantum secret sharing (QSS) is proposed based on a single $d$-level quantum system. It enables the ($t$, $n$) threshold structure based on Shamir's secret sharing and simply requires sequential communication in the $d$-level quantum system to recover secret. Besides, the scheme employs an additional qudit to detect cheats and eavesdropping during secret reconstruction, and allows a participant to use the share repeatedly. Analyses show that the proposed scheme is resistant to typical attacks. The scheme is scalable in the number of participants and easier to realize compared to related schemes. More generally, our scheme also presents a generic method to construct new ($t$, $n$) threshold QSS schemes based on $d$-level quantum system with other classical threshold secret sharing.

Oct 31, 20170 citations

(

t

n

) Threshold Quantum Secret Sharing based on a Single

d

-level Quantum System

A (

t

n

) threshold quantum secret sharing (QSS) is proposed based on a single

d

-level quantum system. It enables the (

t

n

) threshold structure based on Shamir's secret sharing and simply requires sequential communication in the

d

-level quantum system to recover secret. Besides, the scheme employs an additional qudit to detect cheats and eavesdropping during secret reconstruction, and allows a participant to use the share repeatedly. Analyses show that the proposed scheme is resistant to typical attacks. The scheme is scalable in the number of participants and easier to realize compared to related schemes. More generally, our scheme also presents a generic method to construct new (

t

n

) threshold QSS schemes based on

d

-level quantum system with other classical threshold secret sharing.