ANALYSIS OF THE SECURITY OF BB84 BY MODEL CHECKING
Mohamed Elboukhari1, Mostafa Azizi2 and Abdelmalek Azizi1,3
1dept. Mathematics & Computer Science, FSO, University Mohamed Ist, Morocco
2 dept. Applied Engineering, ESTO, University Mohamed Ist, Oujda, Morocco
3Academy Hassan II of Sciences & Technology, Rabat, Morocco
ABSTRACT
Quantum Cryptography or Quantum key distribution (QKD) is a technique that allows the secure distribution of a bit string, used as key in cryptographic protocols. When it was noted that quantum computers could break public key cryptosystems based on number theory extensive studies have been undertaken on QKD. Based on quantum mechanics, QKD offers unconditionally secure communication. Now, the progress of research in this field allows the anticipation of QKD to be available outside of laboratories within the next few years. Efforts are made to improve the performance and reliability of the implemented technologies. But several challenges remain despite this big progress. The task of how to test the apparatuses of QKD For example did not yet receive enough attention. These devises become complex and demand a big verification effort. In this paper we are interested in an approach based on the technique of probabilistic model checking for studying quantum information. Precisely, we use the PRISM tool to analyze the security of BB84 protocol and we are focused on the specific security property
of eavesdropping detection. We show that this property is affected by the parameters of quantum channel and the power of eavesdropper.
KEYWORDS
BB84 Protocol, Cryptography, Quantum Cryptography, Quantum Key Distribution, Model Checking
Original Source Link : http://airccse.org/journal/nsa/0410ijnsa7.pdf
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