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Advances in Mathematical Physics
Volume 2016, Article ID 3162012, 7 pages
Research Article

A General Scheme for Information Interception in the Ping-Pong Protocol

1Institute of Electronics, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland
2Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland

Received 22 March 2016; Revised 25 May 2016; Accepted 6 June 2016

Academic Editor: Kamil Brádler

Copyright © 2016 Piotr Zawadzki and Jarosław Adam Miszczak. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The existence of undetectable eavesdropping of dense coded information has been already demonstrated by Pavičić for the quantum direct communication based on the ping-pong paradigm. However, (a) the explicit scheme of the circuit is only given and no design rules are provided; (b) the existence of losses is implicitly assumed; (c) the attack has been formulated against qubit based protocol only and it is not clear whether it can be adapted to higher dimensional systems. These deficiencies are removed in the presented contribution. A new generic eavesdropping scheme built on a firm theoretical background is proposed. In contrast to the previous approach, it does not refer to the properties of the vacuum state, so it is fully consistent with the absence of losses assumption. Moreover, the scheme applies to the communication paradigm based on signal particles of any dimensionality. It is also shown that some well known attacks are special cases of the proposed scheme.