Multi-user private comparison protocol using GHZ class states

  • Authors:
  • Yao-Jen Chang;Chia-Wei Tsai;Tzonelih Hwang

  • Affiliations:
  • Department of Computer Science and Information Engineering (CSIE), National Cheng Kung University, Tainan City, Taiwan, ROC;Institute for Information Industry, Tainan City, Taiwan, ROC;Department of Computer Science and Information Engineering (CSIE), National Cheng Kung University, Tainan City, Taiwan, ROC

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2013

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Abstract

This paper proposes a pioneering quantum private comparison (QPC) protocol for n users. State-of-the-art QPC protocols have been designed for two users who wish to compare their private information. However, if n users want to perform the equality comparison, these two-user QPC protocols have to be executed repeatedly at least n 驴 1 times. The proposed protocol allows n users' private information to be compared within one protocol execution. The proposed QPC protocol takes the Greenberger---Horne---Zeilinger (GHZ) class as a quantum resource and uses a special property in the GHZ-class state to perform the equality comparison. Moreover, due to the one-step quantum transmission, the protocol is free from Trojan horse attacks and it is also shown to be secure against other well-known attacks.