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Cryptanalysis and Improvement of Quantum Private Comparison Protocol Based on Bell Entangled States
Authors:LIU Wen-Jie  LIU Chao  CHEN Han-Wu  LI Zhi-Qiang  LIU Zhi-Hao
Affiliation:1. Jiangsu Engineering Center of Network Monitoring, Nanjing University of Information Science & Technology, Nanjing 210044, China;2. School of Computer and Software, Nanjing University of Information Science & Technology, Nanjing 210044, China;3. School of Computer Science and Engineering, Southeast University, Nanjing 211189, China;4. College of Information Engineering, Yangzhou University, Yangzhou 225009, China
Abstract:Recently, Liu et al. [Commun. Theor. Phys. 57 (2012) 583] proposed a quantum private comparison protocol based on entanglement swapping of Bell states, which aims to securely compare the equality of two participants' information with the help of a semi-honest third party (TP). However, the present study points out there is a fatal loophole in Liu et al.'s protocol, and TP can make Bell-basis measurement to know all the participants' secret inputs without being detected. To fix the problem, a simple solution, which uses one-time eavesdropper checking with decoy photons instead of twice eavesdropper checking with Bell states, is demonstrated. Compared with the original protocol, it not only reduces the Bell states consumption but also simplifies the protocol steps.
Keywords:quantum private comparison  Bell states  entanglement swapping  TP's measurement attack  improvement  
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