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Three-party quantum private computation of cardinalities of set intersection and union based on GHZ states.

Abstract：

:Private Set Intersection Cardinality (PSI-CA) and Private Set Union Cardinality (PSU-CA) are two cryptographic primitives whereby two or more parties are able to obtain the cardinalities of the intersection and the union of their respective private sets, and the privacy of their sets is preserved. In this paper, we propose a three-party protocol to finish these tasks by using quantum resources, where every two, as well as three, parties can obtain the cardinalities of the intersection and the union of their private sets with the help of a semi-honest third party (TP). In our protocol, GHZ states play a role in encoding private information that will be used by TP to compute the cardinalities. We show that the presented protocol is secure against well-known quantum attacks. In addition, we analyze the influence of six typical kinds of Markovian noise on our protocol.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Zhang C,Long Y,Sun Z,Li Q,Huang Q

doi

10.1038/s41598-020-77579-w

subject

Has Abstract

pub_date

2020-12-17 00:00:00

pages

22246

issue

1

issn

2045-2322

pii

10.1038/s41598-020-77579-w

journal_volume

10

pub_type

杂志文章

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