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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Unconditional security of relativistic quantum key distribution protocol

Sushuai Zhuang Zhuang, Li Yang

Published Oct 8, 2010• 1 citation
Publisher

Abstract

Relativistic quantum key distribution (QKD) protocol is a kind of modified BB84 QKD protocol based on the principles of not only quantum mechanics but also special relativity. Its advantage compared with BB84 protocol is that all of the qubits could be used for key generation, and Alice and Bob are able to select any measuring bases. We prove its unconditional security against coherent attack via the method based on CSS codes: begin with a modified EPR based protocol which can be proved unconditionally secure, then reduce the protocol to a CSS codes based protocol. Finally, the CSS codes based protocol is demonstrated equivalent to the relativistic QKD protocol, and we arrived at the conclusion of the unconditional security of the final key.

DOI
10.1117/12.871454

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Relativistic quantum key distribution (QKD) protocol is a kind of modified BB84 QKD protocol based on the principles of not only quantum mechanics but also special relativity. Its advantage compared with BB84 protocol is that all of the qubits could be used for key generation, and Alice and Bob are able to select any measuring bases. We prove its unconditional security against coherent attack via the method based on CSS codes: begin with a modified EPR based protocol which can be proved unconditionally secure, then reduce the protocol to a CSS codes based protocol. Finally, the CSS codes based protocol is demonstrated equivalent to the relativistic QKD protocol, and we arrived at the conclusion of the unconditional security of the final key.
In the quantum key distribution (QKD) process, the presence of noise in the quantum channel reduces the efficiency of QKD with low transmission reliability. Quantum error correcting codes (QECCs) can weaken the impact of noise on the final result due to its flexibility in code length and rate selection. In this paper, QECCs is used to overcome the adverse effects of quantum channel noise, and a QKD protocol based on quantum CSS error correcting codes is proposed. Firstly, we construct the corresponding quantum CSS codes based on classical linear code, then modify and simplify some steps of BB84 protocol by using the characteristics of error correcting codes to design the new protocol. Through theoretical deduction, our QKD protocol based on quantum CSS codes improves the security of key transmission, and the confidentiality of transmission in the noisy quantum channel is also enhanced.
Quantum key distribution (QKD) is a method using some properties of quantum mechanics to create a secret shared cryptographic key even if an eavesdropper has access to unlimited computational power. All QKD protocols require that the parties have access to an authentic channel. Otherwise, QKD is vulnerable to man-in-themiddle attacks. This paper studies QKD from this point of view, emphasizing the necessity and sufficiency of using unconditionally secure authentication in QKD. In this work, a hybrid unconditionally secure authentication strategy is proposed for QKD protocols. It is based on a mixture of normal application of authentication codes and the so-called "counter-based" authentication method such that to achieve a better trade off between security and efficiency (in terms of the required size of initially shared secret data). Based on this strategy, a complete authenticated QKD protocol is described for a specific implementation of the well-known BB84 protocol. Some advantages of our protocol in comparison to other proposals are also highlighted.
Quantum key distribution protocols constitute an important part of quantum cryptography, where the security of sensitive information arises from the laws of physics. In this paper, we introduce a family of key distribution protocols which generalize the PBC00 protcol. We compare its key with the well-known protocols such as BB84, PBC00 and generation rate to the well-known protocols such as BB84, PBC0 and R04. We also state the security analysis of these protocols based on the entanglement distillation and CSS codes techniques.
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Classical cryptographic systems are increasingly challenged by advances in computing power and new algorithmic techniques, particularly with the rise of quantum computing, which threatens the security of current encryption methods. This has spurred interest in quantum-resistant cryptography, aimed at creating algorithms that can withstand attacks from quantum computers. Traditionally, secure key transport over alternate channels has been a significant challenge, but quantum mechanics offers a solution. Quantum Key Distribution (QKD) is a revolutionary method for secure communication that leverages quantum principles. Unlike traditional methods, QKD provides unconditional security, with key security ensured by the laws of physics rather than computational difficulty. The BB84 protocol, introduced in 1984 by Bennett and Brassard, is a leading QKD scheme known for its simplicity and effectiveness in generating eavesdropping-resistant cryptographic keys. It facilitates secure key transport over alternate channels. This documentation aims to advance QKD security by practically implementing and analyzing the BB84 protocol. Through detailed theoretical analysis, simulation studies, and experimental validation, the practical impacts, and limitations of BB84-based QKD systems are examined. Additionally, a practical implementation of quantum key distribution using a sudoku key demonstrates the process's simplicity and effectiveness. These findings are expected to pave new paths in the field of cryptanalysis in the emerging Quantum Age.