Correct mutual information, quantum bit error rate and secure transmission efficiency in Wojcik's eavesdropping scheme on ping-pong protocol

Preprint English OPEN
Zhang, Zhanjun;
(2004)
  • Subject: Quantum Physics
    acm: ComputerSystemsOrganization_COMPUTER-COMMUNICATIONNETWORKS

Comment: The wrong mutual information, quantum bit error rate and secure transmission efficiency in Wojcik's eavesdropping scheme [PRL90(03)157901]on ping-pong protocol have been pointed out and corrected
  • References (4)

    and accordingly IAB > IAE. The forking point is η = 50%. This means that the corresponding conclusion in W´ojcik's paper is wrong. In reality N should be finite. In this case, for all the attacked bits, it is possible for Eve to get the same ones with Alice's. Therefore, if a condition that the number of the Bob's correct bits is not less than the number of Eve's correct bits is required, it is easy to work out that η should be not less than 75%. This means that in reality the ping-pong protocol is not secure for η ≤ 75%.

    This work is supported by the National Natural Science Foundation of China under Grant Nos. 10304022.

    [1] K. Bostr¨om and T. Felbinger, Phys. Rev. Lett. 89, 187902(2002).

    [2] Antoni W´ojcik, Phys. Rev. Lett., 90, 157901(2003).

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