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Dual universality of hash functions and its applications to classical and quantum cryptography

Toyohiro Tsurumaru

Published Jan 1, 2011• 2 citations
Publisher

Abstract

Quantum cryptography aims to achieve security from fundamental physical principles, such as the quantum mechanical phenomena of entanglement and Heisenberg's uncertainty principle. In the last few years significant progress has been made in the theoretical understanding of quantum cryptography and its technological feasibility has been demonstrated experimentally. Quantum cryptography is therefore regarded as one of the most promising candidates for a future quantum technology. -- With QCRYPT we initiate a new conference series on Quantum Cryptography. The first conference in this series will be held at ETH Zurich and the second at CQT in Singapore. The aim of this series is to bring together researchers working on all aspects of the subject (both on the theoretical and experimental sides) and to support the building of a research community in Quantum Cryptography.

DOI
10.5446/36684

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Quantum cryptography aims to achieve security from fundamental physical principles, such as the quantum mechanical phenomena of entanglement and Heisenberg's uncertainty principle. In the last few years significant progress has been made in the theoretical understanding of quantum cryptography and its technological feasibility has been demonstrated experimentally. Quantum cryptography is therefore regarded as one of the most promising candidates for a future quantum technology. -- With QCRYPT we initiate a new conference series on Quantum Cryptography. The first conference in this series will be held at ETH Zurich and the second at CQT in Singapore. The aim of this series is to bring together researchers working on all aspects of the subject (both on the theoretical and experimental sides) and to support the building of a research community in Quantum Cryptography.
In the last few decades, cryptographic algorithms have been based on the fundamental operation of factoring large integers into their primes, which is considered to be “INTRACTABLE,” but contemporary cryptography is vulnerable to both technological advancements in computing power and mathematical advances that enable swift reversal of one-way functions like that of factoring large integers. Therefore, the approach is to include quantum physics into encryption, which results in an assessment of quantum cryptography. One of the newest areas in the realm of computer science is quantum cryptography. By using the principles ofquantum physics, two parties can use this important technology to protect network connections.The principles of quantum mechanics provide a theoretical foundation for highly securecommunication systems. This paper summarizes the current state of quantum cryptography,the implementation of this technology in real-world applications, and finally the direction inwhich the quantum cryptography is headed forward. Quantum cryptography (QC) is basedon two key aspects of quantum mechanics: first one is the Heisenberg Uncertainty Principleand second one is the Principle of Photon Polarization. To provide a unified perspective ofsecure communication technologies, this survey introduces a taxonomy that relates classical,modern, and quantum cryptographic paradigms and classifies major quantum cryptographicprimitives, protocols, and emerging quantum networking technologies.
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Quantum cryptography is an emerging technology in which two parties can secure network Communications by applying the phenomena of quantum physics. The security of these transmissions is based on the inviolability of the laws of quantum mechanics. Quantum cryptography was born in the early seventies when Steven wiesner wrote “conjugate coding”. The quantum cryptography relies on two important elements of quantum mechanics-the Heisenberg uncertainty principle and the principle of photon polarization. The Heisenberg uncertainty principle states that, it is not possible to measure the quantum state of any system without distributing that system. The principle of photon polarization states that, an eavesdropper cannot copy unknownqubits i.e. unknown quantum states, due to no-cloning Theorem which was first presented by wootters andzurek in 1982.this research paper concentrates on the theory of quantum cryptography, and how this technology contributes to the network security. This research paper summarizes the current state of Quantum cryptography, and the real world application implementation of this technology and finally the future direction in which quantum cryptography is forwards
Quantum cryptography is an emerging technology in which two parties can secure network communications by applying the phenomena of quantum physics. The security of these transmissions is based on the inviolability of the laws of quantum mechanics. Quantum cryptography was born in the early seventies when Steven Wiesner wrote "Conjugate Coding", which took more than ten years to end this paper. The quantum cryptography relies on two important elements of quantum mechanics - the Heisenberg Uncertainty principle and the principle of photon polarization. The Heisenberg Uncertainty principle states that, it is not possible to measure the quantum state of any system without distributing that system. The principle of photon polarization states that, an eavesdropper can not copy unknown qubits i.e. unknown quantum states, due to no-cloning theorem which was first presented by Wootters and Zurek in 1982. This research paper concentrates on the theory of quantum cryptography, and how this technology contributes to the network security. This research paper summarizes the current state of quantum cryptography, and the real-world application implementation of this technology, and finally the future direction in which the quantum cryptography is headed forwards.
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.