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IEEE International Conference on Information Theory and Information Security

Simulating BB84 protocol in amplitude damping channel

Yingkai Tang, Xiaoyu Chen

Published Dec 1, 2010• 1 citation
Publisher

Abstract

We adopt the standard BB84 protocol as the basic model of quantum key distribution (QKD) in amplitude damping channel and simulate BB84 QKD protocol on classical computer. The simulation results show that the key rate is higher by using binary reconciliation protocol than using cascade reconciliation protocol when the amplitude damping coefficient γ≤0.15, while cascade reconciliation protocol is better for γ>0.15.

DOI
10.1109/icitis.2010.5689803

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We adopt the standard BB84 protocol as the basic model of quantum key distribution (QKD) in amplitude damping channel and simulate BB84 QKD protocol on classical computer. The simulation results show that the key rate is higher by using binary reconciliation protocol than using cascade reconciliation protocol when the amplitude damping coefficient γ≤0.15, while cascade reconciliation protocol is better for γ>0.15.
Quantum cryptography was proposed as a counter to the capacity of quantum computers to break classical cryptosystems. A broad subclass of quantum cryptography, called quantum key distribution (QKD), relies on quantum mechanical process for secure distribution of the keys. Quantum channels are inherently noisy, and therefore these protocols will be susceptible to noise as well. In this paper, we study the performance of two QKD protocols — BB84 and E91 under amplitude damping error. We show that while E91 protocol loses its security immediately due to loss of entanglement, the performance of BB84 protocol reduces to random guessing with increasing time. Next, we consider the action of an Eve on the BB84 protocol under amplitude damping noise, who is restricted to guessing the outcome of the protocol only. Under this restriction, we show that Eve can still do better than random guessing when equipped with the characteristics of the noisy channel. Finally, we propose a modification of the BB84 protocol which retains the security of the original protocol, but ensures that Eve cannot get any advantage in guessing the outcome, even with complete channel information.
Quantum key distribution (QKD) enables secure communication using the principles of quantum physics. The BB84 protocol is not only effective for secure key sharing but also for detecting eavesdropping. This study simulates a computational model of QKD and analyzes error rates under varying numbers of bits. Using Python-based simulations with n = 10, n = 100, and n = 1000 bits, and a fixed noise probability of 0.02, we evaluated scenarios both with and without eavesdropping over 1000 trials. The results show an average error rate of 2% without eavesdropping and over 26% with eavesdropping. Standard deviation increases with lower n, indicating higher variability. This study validates BB84’s robustness under noise and demonstrates its sensitivity to third-party interference.
Background: The basic Protocols of Quantum Key Distribution (QKD) and their variations use a one way quantum channel for the transmission of quantum information and later use a classical channel for reconciliation phase. Objective: In this paper we are discussing a QKD protocol which is a variation over two basic protocols i.e. BB84 and B92 and uses two-way quantum channel instead of one way quantum channel and it also uses classical channel for reconciliation phase. Method: This protocol is synchronized in a manner that both parties who want to share key start communication at same point of time. Results: We have also given the design for proposed protocols and their comparison with basic protocols. Conclusion: Finally we analyzed the results and found the proposed protocols better with high capacity and low error estimation. Keywords: Variation of QKD protocols, enhanced methodology for QKD protocols, QKD protocols, BB84, B92, two way QKD.
The main purpose of quantum key distribution protocols is to provide a practical and secure transmission of the single-use key used in encryption at the sender and receiver side. In the classical method, both parties cannot be sure that the key has not been taken over by an attacker. Since the quantum key exchange method basically relies on quantum physics, it provides higher security than conventional key distribution methods. In this study, the first and most used BB84 protocol, which is one of the quantum key distribution (QKD) protocols, and the distribution of the key between the receiver and the sender in the simulation environment and the attempt of the attacker to achieve the key was performed in the simulation environment. The results obtained in the last section are analyzed and suggestions are made for future studies.
Quantum cryptography is a practical method of secret communication that guarantees the foolproof secrecy. This paper presents the simulation for implementation of a Quantum Key Distribution (QKD) protocol BB84, the pioneering, and most basic and fundamental protocol. We use the quantum computing platform developed by IBM named as Qiskit for the simulation of the BB84 protocol, implementing it with and without an Eve eavesdropper for studying the relative outcomes. Recently, Qiskit is globally very popular for quantum simulations because it provide us the opportunity to simulate quantum logic circuit on classical computer as well as real quantum computers owned by IBM. As per our best knowledge, there is no any proposal published for quantum circuit by anyone for BB84 QKD. We performed experimentation on local as well as cloud simulators: 1) The "qasm_simulator" was used as local machine simulator, and 2) The "ibmqx2" simulator was used as IBM cloud quantum simulator. The outcome of local as well as IBM simulator with and without an eavesdropper, between the two parties involved in key exchange were recorded and presented in the results section.