Title: BB84 with several intercepts and resend attacks using partially non-orthogonal basis states through a depolarising channel

Authors: Mustapha Dehmani; El Mehdi Salmani; Hamid Ez-Zahraouy; Abdelilah Benyoussef

Addresses: Laboratoire de la Matière Condensée et Sciences Interdisciplinaires (LaMCScI), Faculté des Sciences, Université Mohammed V, Rabat, Morocco ' Laboratoire de la Matière Condensée et Sciences Interdisciplinaires (LaMCScI), Faculté des Sciences, Université Mohammed V, Rabat, Morocco ' Laboratoire de la Matière Condensée et Sciences Interdisciplinaires (LaMCScI), Faculté des Sciences, Université Mohammed V, Rabat, Morocco ' Laboratoire de la Matière Condensée et Sciences Interdisciplinaires (LaMCScI), Faculté des Sciences, Université Mohammed V, Rabat, Morocco

Abstract: The paper presents the partially non-orthogonal basis states effect in presence of several intercept and resend attacks through a depolarising channel. The quantum error and the mutual information are computed for arbitrary angles of the non-orthogonal basis states and the depolarising channel parameter. It is found that the information security depends strongly on the non-orthogonal basis states angle, the depolarising channel parameter, the intercepts and resend attack probability and the eavesdropper number. Besides, it is found that for any eavesdropper's number and basis states angle, the protocol is more secure if the depolarisation parameter is lower than a threshold value and the maximum value of the quantum error decreases by increasing the depolarising parameter and/or the eavesdropper's number. While for the depolarisation parameter above the threshold value the protocol is not secured independently of any values of the non-orthogonal basis states angle and/or the eavesdroppers' number.

Keywords: quantum cryptography; intercept-resend attacks; non-orthogonal basis states; depolarising channel; quantum error; information security.

DOI: 10.1504/IJICT.2021.114850

International Journal of Information and Communication Technology, 2021 Vol.18 No.3, pp.275 - 287

Received: 29 Jun 2019
Accepted: 26 Dec 2019
Published online: 10 May 2021 *

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