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arXiv:quant-ph/9811056

A Quick Glance at Quantum Cryptography

Samuel J. Lomonaco

Published Nov 23, 1998• 19 citations
arXivHTMLPDF

Abstract

The recent application of the principles of quantum mechanics to cryptography has led to a remarkable new dimension in secret communication. As a result of these new developments, it is now possible to construct cryptographic communication systems which detect unauthorized eavesdropping should it occur, and which give a guarantee of no eavesdropping should it not occur. CONTENTS P3. Cryptographic systems before quantum cryptography P7. Preamble to quantum cryptography P10. The BB84 quantum cryptographic protocol without noise P16. The BB84 quantum cryptographic protocol with noise P19..The B92 quantum cryptographic protocol P21. EPR quantum cryptographic protocols P25. Other protocols P25. Eavesdropping stategies and counter measures P26. Conclusion P29. Appendix A. The no cloning theorem P30. Appendix B. Proof that an undetectable eavesdropper can obtain no information from the B92 protocol P31. Appendix C. Part of a Rosetta stone for quantum mechanics P44. References

DOI
10.13016/m2xhih-7cxn

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The recent application of the principles of quantum mechanics to cryptography has led to a remarkable new dimension in secret communication. As a result of these new developments, it is now possible to construct cryptographic communication systems which detect unauthorized eavesdropping should it occur, and which give a guarantee of no eavesdropping should it not occur. CONTENTS P3. Cryptographic systems before quantum cryptography P7. Preamble to quantum cryptography P10. The BB84 quantum cryptographic protocol without noise P16. The BB84 quantum cryptographic protocol with noise P19..The B92 quantum cryptographic protocol P21. EPR quantum cryptographic protocols P25. Other protocols P25. Eavesdropping stategies and counter measures P26. Conclusion P29. Appendix A. The no cloning theorem P30. Appendix B. Proof that an undetectable eavesdropper can obtain no information from the B92 protocol P31. Appendix C. Part of a Rosetta stone for quantum mechanics P44. References
The recent application of the principles of quantum mechanics to cryptography has led to a remarkable new dimension in secret communication.Quantum Cryptography uses the principles of Quantum Mechanics to implement a cryptographic system.The key problem which is solved by using quantum techniques is that of eavesdropping detection.Conventional secret-key cryptography techniques require the communication of a secret key prior to message exchange.Quantum principles can be used to detect eavesdropping probabilistically when it occurs.The bits are represented as qubits, physically modeled by photons, and communicated over a quantum channel.The polarization states of photons represent 0's and 1's.As a result of these new developments, it is now possible to construct cryptographic communication systems which detect unauthorized eavesdropping should it occur, and which give a guarantee of no eavesdropping should it not occur.
Abstract The application of the principles of quantum mechanics to cryptography has led to a respectable new dimension in confidential communication. As a result of these developments, it is now possible to construct cryptographic communication systems which detect unauthorized eavesdropping should it occur, and which give a incontestable guarantee of no eavesdropping should it not occur. Here several protocols for such communication systems are explored. We first examine quantum bit commitment protocols which are proven as not being unconditionally secure, then, we take a look at proposed protocols which are constructed to disprove the proofs claiming that unconditionally secure quantum bit commitment protocols are impossible.
Data transmission has always been vulnerable to eavesdropping.Conventional cryptography has provided security in data communication, however it has some limitations when dealing with passive eavesdropping.Recently, the quantum mechanics has made a remarkable entry in the field of data communication.Now, it is possible to construct cryptographic communication systems which detect unauthorized eavesdropping and guarantee its prevention.Several protocols have been devised to implement such systems e.g., BB84, B92 and EPR.The famous BB84 protocol describes quantum encryption in terms of polarization states of a photon.The secret information is t ransmitted via secure quantum channel followed by a public conversation for verification and reconciliation.The B92 protocol is an extension of BB84 which shows how photons with non-orthogonal states can be used to distribute a secret key.The EPR protocol utilizes an entangled photon pair for encryption-one photon from this pair is transmitted towards the destination while keeping the other at the source; the destination photon describes the state of the source photon, failing to which confirms the intrusion.This paper presents a study of these protocols and a review on the recent developments in the field of secure quantum transmission.
In an era when cyberattacks are becoming more frequent, quantum cryptography, a cutting-edge field at the convergence of quantum mechanics and cryptography, offers impenetrable communication security. This chapter explores the fundamentals of quantum cryptography, elaborating its principles, protocols, and potential applications. Beginning with an overview of quantum mechanics essentials, the chapter delves into the unique properties of quantum systems that underpin quantum cryptography, such as superposition and entanglement. It then discusses key quantum cryptographic protocols, including quantum key distribution (QKD) protocols such as BB84 and E91, highlighting their robustness against eavesdropping attacks. Furthermore, the chapter examines recent advancements in quantum cryptography and its practical implementations. Finally, it explores the challenges and future prospects of quantum cryptography, including scalability issues and integration with classical cryptographic systems. Overall, this chapter serves as a comprehensive introduction to the fascinating realm of quantum cryptography, offering insights into its theoretical foundations and practical implications for secure communication in the quantum age.
The rapid advancement of quantum computing poses a significant threat to classical cryptographic systems that rely on the computational hardness of mathematical problems such as integer factorization and discrete logarithm problems. In this context, quantum cryptography has emerged as a promising paradigm for secure communication based on the fundamental principles of quantum mechanics rather than on computational assumptions. This paper presents a comprehensive review of quantum cryptography, with a particular focus on Quantum Key Distribution (QKD), the most mature application. The study discusses the theoretical foundations of quantum security, including superposition, entanglement, and the No-cloning theorem, which collectively enable eavesdropping detection and guarantee information-theoretic security. Furthermore, the review examines major QKD protocols, such as BB84 and E91, as well as their advanced variants designed to address practical vulnerabilities and enhance performance. Recent progress in real-world implementations, including fiber-optic networks, free-space communication, and satellite-based systems such as the Micius satellite, is also analyzed. In addition, the paper highlights critical challenges related to scalability, hardware limitations, and security loopholes arising from imperfect devices. Finally, emerging research directions, including hybrid cryptographic frameworks that integrate quantum and post-quantum approaches, are discussed to provide insights into the future of secure communication. This review aims to provide a structured, up-to-date understanding of quantum cryptography, bridging the gap between theoretical developments and practical implementations, and emphasizing its crucial role in shaping next-generation cybersecurity systems.