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Scientific Conference of Computer Sciences (SCCS)

Modified BB84 Quantum Key Distribution Protocol Using Legendre Symbol

Alharith A. Abdullah, Rifaat Z. Khalaf, Hamza B. Habib

Published Mar 1, 2019• 10 citations
Publisher

Abstract

Quantum key distribution is considered as one of the safe ways of distributing keys among the frames employed in communication. In 1984, BB84 appeared first as a protocol for QKD. In the present study paper, we proposed a new way of encoding a stream of bits into polarized photons using Legendre Symbol (a/p), where both of the sender and the receiver negotiate of using the function of Legendre symbol. Hence, in this case the proposed protocol uses only quantum channel instead of the classical channel, this leads to less time spent and less quantum error rate occurring comparing with the previous BB84 protocol. The experimental outcome confirms that the proposed protocol delivers efficient results comparing with the original BB84 protocol.

DOI
10.1109/sccs.2019.8852619

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Quantum key distribution is considered as one of the safe ways of distributing keys among the frames employed in communication. In 1984, BB84 appeared first as a protocol for QKD. In the present study paper, we proposed a new way of encoding a stream of bits into polarized photons using Legendre Symbol (a/p), where both of the sender and the receiver negotiate of using the function of Legendre symbol. Hence, in this case the proposed protocol uses only quantum channel instead of the classical channel, this leads to less time spent and less quantum error rate occurring comparing with the previous BB84 protocol. The experimental outcome confirms that the proposed protocol delivers efficient results comparing with the original BB84 protocol.
One promising way to use quantum information to secure everyday communication is through the distribution of quantum keys. By exchanging a secret key, the Quantum Key Distribution (QKD) approach allows two parties to communicate securely.BB84 protocol is among the most well-known QKD protocols. In this protocol, qubits are exchanged via a quantum channel between the sender and the receiver. This enables them to produce a shared key that is impenetrable to eavesdroppers and illustrate the fundamental ideas of QKD using current simulations and implementations. The results of this study demonstrate that the BB84 protocol is a highly secure QKD technique that has been investigated in great detail and used in a variety of contexts. Additionally, over the enhancements made to the BB84 protocol such as the use of advanced error correction techniques and decoy states to increase its security and usability is discussed. With an emphasis on the BB84 protocol in secure communication technologies, this study offers an extensive analysis of QKD systems overall.
Cryptography is being introduced to secure data. Through Classical Cryptographic technique, we can encrypt our data and secure secret key also. But classical cryptography is based on mathematical techniques where reversing one-way function is possible with sufficient computing power and time. So, Quantum Cryptography is introduced to overcome those drawbacks of traditional classical cryptography. It is based on the values of quantum mechanics and photon. Scientists and researchers have brought up a new key distribution protocol based on Quantum Cryptography is called Quantum Key Distribution (QKD) Protocol. The first QKD protocol BB84 was introduced by Charles Bennett and Gilles Brassard in 1984. After that several QKD protocols have been created. In this paper we have improved BB84 Protocol by removing the drawbacks of the existing algorithm towards Eavesdropping which may not be detected or disclosing large portion of secret key. Steps of the existing BB84 algorithm along with the modified one is described in detail with example and pseudo code. Limitations of BB84 and comparative study of both the existing and the improved one based on their security has been made and described in this current work.
Quantum key distribution (QKD) has undergone significant development in recent decades, particularly with respect to free-space (air) and optical fiber channels. Here, we report a proof-of-principle experiment for the BB84 protocol QKD over a water channel. First, we demonstrate again the polarization preservation properties of the water channel in optical transmission according to the measured Mueller matrix, which is close to the unit matrix. The reason for the polarization preservation, revealed by Monte Carlo simulation, is that almost all the received photons are unscattered. Then, we performed the first polarization encoding BB84 protocol QKD over a 2.37 m water channel. The results show that QKD can be performed with a low quantum bit error rate, less than 3.5%, with different attenuation coefficients.
Classical cryptosystem, which is based on mathematical complexity and irrationally time-consuming to decode, is endangered with the inception of quantum computers empowered with unprecedented computational processing along with sophisticated quantum algorithms. Thus requiring quantum cryptography and Quantum Key Distribution (QDK) protocol for secured key distribution. This thesis work contributes to the field of cryptography. First of all, it shows unconditionally secured QKD which is bound by quantum mechanics laws. It is minimal or moreover almost negligible chances of escaping the eavesdropper i.e. almost zero probability. Next, it shows the modified existing QKD protocol named BB84 protocol. The main drawback of the existing protocol is that it is less efficient concerning photon utilization as we know perfect single-photon generation is still challenging to current technology. In this work, the modified protocol has been presented and it is shown the simulated output using the Aer Provider backend ‘aer_simulator’ provided by Qiskit. With the generated key, message is encoded, transmitted and decoded in real quantum computer with backend ‘ibmq_manila’. The errors generated and analyzed and found that without interference in the channel, maximum only upto 15% errors have been generated from the noise of quantum circuit and are in acceptable range but in presence of interference, error rates surpass the acceptable range i.e. 20% error margin and hence the interference in the channel is detected.
In order to solve the low key distribution efficiency problem of the BB84 protocol, an improved BB84 quantum key distribution scheme is presented in this paper. Firstly the same polarization basis is used by the sender and the receiver with the consistent agreement. This process could make quantum key distribution rate higher. Then signature combined with the error correction method based on the odd and even parity is used to ensure the safety of the transmission. The analyses results indicate that the advantage of the improved scheme lies in that the all photons sent to Bob by Alice are useful. It can not only reduce the time extracting the original key, but also solve the authentication problem in the process of communication. The key distribution efficiency is two times of the original BB84 protocol improved scheme.