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Lecture notes in computer science

Multiparty Computations in Non-private Environments

Maciej Liśkiewicz

Published Jan 1, 2006• 0 citations
Publisher
DOI
10.1007/11889342_80

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A quantum private comparison is a primitive protocol of secure multiparty quantum computation that enables two parties to privately decide whether x = y or not, given two integers x and y , that are held as private inputs by the two parties, respectively. However, many existing quantum private comparison schemes may not be efficient enough, especially applied in big-data and large-scale network environments, because of low efficiency bit-by-bit comparisons. In this paper, we present a novel and efficient quantum private comparison scheme. The proposed scheme provides higher communication efficiency because a secret-by-secret comparison instead of a bit-by-bit comparison is used.
Non-interactive secure multiparty computation is a method to share and compute a private functionfffamongnnnparties holding private inputs xi with 1nnnin the information theoretical setting. Each party locally computes a message from a share offffand send it to a referee in parallel. The referee obtains the output f (xi,… , xn) while keepingfffand xi private other than what can be inferred from the output. The communication complexity is evaluated by the maximum length of shares and messages. In the previous work, several kinds of function families, upper and lower bounds have been improved and the only gaps remaining are for the group products and the Abelian programs (including symmetric functions). This paper improves the communication complexity of both function families towards the optimum by deriving a new lower bound for the group products that matches the previous upper bound (up to a constant factor) and the first asymptotically optimal upper bound for the Abelian programs.
Security and privacy have always been key concerns for individuals in various edge-assisted services. In this paper, we present a feasible quantum solution to an important primitive of secure multiparty computations, i.e., Secure Multiparty Logical AND (SMLA), in which n participants can securely compute logical AND of n private bits. In order to ensure perfect security and achieve good feasibility, we introduce a semi-honest edge server and two non-collusive fog nodes, and design a secure and feasible edge-assisted quantum protocol for SMLA, which cleverly utilizes Secure Multiparty XOR to implement SMLA group by group. Furthermore, we focus on applications of this quantum primitive protocol and design two quantum protocols for Multiple Private Set Intersection and Anonymous One-vote Veto. Compared with classical related protocols, our proposed quantum protocols obtain higher security, which can be guaranteed by the basic principles of quantum mechanics.