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Physics Letters A

Quantum identity authentication based on ping-pong technique for photons

Zheshen Zhang, Guihua Zeng, Nanrun Zhou, Jin Xiong

Published Apr 1, 2006• 83 citations
Publisher
DOI
10.1016/j.physleta.2006.03.048

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Ping-Pong quantum communication protocol may be employed to transmit deterministically information, so it has instrigued mang researchers. However, there are drawbacks on the security due to the symmetry of the employed two-way quantum channel. In this paper we propose a new attack strategy to eavesdrop the initially transmitted information based on the techniques of quantum error correction code (QECC). In addition, an attack strategy of Ping-Pong scheme based either entanglement state or nonorthogonal state is proofed and demonstrated, respectively. Furthermore, information obtained by Eve and the possible probability detected by the legitimate communicators are analyzed by employing information theorems. Detail proofs and analysis illustrate all previous Ping-Pong quantum communication schemes are insecure, i.e., the eavesdropper may obtain all available information without being detected.

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The quantum secure direct communication is a new-style quantum communication scheme. It arouses much interest recently. The ping-pong protocol proposed by Bostroem and Felbinger is one of relatively mature quantum secure direct communication protocols, which is asymptotically secure under Eve's eavesdropping attack. But it ignores the message authentication. Being aimed at this problem, we propose a novel ping-pong protocol with authentication. The former has two operation modes, or the message mode and the control mode, which are used to send message and detect Eve's attack, respectively. But it just detects Eve's eavesdropping attack and does not authenticate the sent message in the control mode. The latter has also the above two operation modes, which employs a braid-based key agreement protocol for both the parties participating in communication to share a secret, whose size and magnitude are undecided in advance. Using the shared secret, it not only detects Eve's eavesdropping attack, but also effectively performs the message authentication in the control mode. It is also asymptotically secure under Eve's eavesdropping attack. The security of the proposed protocol is based on the no-cloning theorem, the correlations of quantum entanglement and the fact that the p-th root finding problem on braid groups is intractable even on quantum computers, as well as classical computers. In addition different from the original ping-pong protocol, the communication was initiated by the sender Alice instead of by the receiver Bob. This corresponds to the way of common communications. The present protocol not only can resist the attacks known recently, but should be experimentally feasible using today's technology.
We introduce an attack scheme for eavesdropping freely the ping-pong quantum communication protocol proposed by Boström and Felbinger [ Phys. Rev. Lett. 89 , 187902 (2002)] in a noise channel. The vicious eavesdropper, Eve, intercepts and measures the travel photon transmitted between the sender and the receiver. Then she replaces the quantum signal with a multi-photon signal in the same state, and measures the returned photons with the measuring basis, with which Eve prepares the fake signal except for one photon. This attack increases neither the quantum channel losses nor the error rate in the sampling instances for eavesdropping check. It works for eavesdropping the secret message transmitted with the ping-pong protocol. Finally, we propose a way for improving the security of the ping-pong protocol.
Ping-Pong quantum communication protocol may be employed to transmit deterministically information, so it has instrigued mang researchers. However, there are drawbacks on the security due to the symmetry of the employed two-way quantum channel. In this paper we propose a new attack strategy to eavesdrop the initially transmitted information based on the techniques of quantum error correction code (QECC). In addition, an attack strategy of Ping-Pong scheme based either entanglement state or nonorthogonal state is proofed and demonstrated, respectively. Furthermore, information obtained by Eve and the possible probability detected by the legitimate communicators are analyzed by employing information theorems. Detail proofs and analysis illustrate all previous Ping-Pong quantum communication schemes are insecure, i.e., the eavesdropper may obtain all available information without being detected.