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Physics-Uspekhi

Vernam's, Kotelnikov's, and Shannon's one-time pad and quantum cryptography

Igor M. Arbekov, S. N. Molotkov

Published Jul 1, 2025• 2 citations
Publisher

Abstract

Quantum cryptography Ð quantum key distribution (QKD) Ð was one of the first fields of study of quantum information theory.It reached a mature scientific level and has been implemented in commercial systems for secure quantum communications.The key distribution problem is the central issue of symmetric cryptography.Quantum cryptography solves this problem on the basis of the fundamental laws of nature: the principles of quantum mechanics.Quantum key distribution is essentially matching two independent random sequences on the transmitting and receiving sides by exchanging quantum states.Required in addition to the quantum channel is an authentic classical communication channel.Both communication channels are open and vulnerable to a perpetrator's attack.To ensure the authenticity of the classical channel at initial system startup, a seed key is required, which is used to provide information-theoretic authentication.In essence, quantum cryptography systems are mechanisms for expanding this seed key.Subsequent sessions generate a quantum key, part of which is used for authentication, while another part is employed for other cryptographic purposes, such as encryption.An issue fundamental for quantum cryptography is the number of quantum key distribution sessions that can be conducted from the initial system launch until a new system reboot, when the cryptographic properties of the quantum keys reach a critical level, after which they can no longer be used for cryptographic purposes, and a new system reboot is needed.Although a number of reviews on quantum cryptography are currently available, this issue has not been discussed in detail.It is shown that for realistic parameters of quantum cryptography systems that are currently achievable, a QKD system can operate for I.

DOI
10.3367/ufne.2025.07.039972

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Quantum cryptography Ð quantum key distribution (QKD) Ð was one of the first fields of study of quantum information theory.It reached a mature scientific level and has been implemented in commercial systems for secure quantum communications.The key distribution problem is the central issue of symmetric cryptography.Quantum cryptography solves this problem on the basis of the fundamental laws of nature: the principles of quantum mechanics.Quantum key distribution is essentially matching two independent random sequences on the transmitting and receiving sides by exchanging quantum states.Required in addition to the quantum channel is an authentic classical communication channel.Both communication channels are open and vulnerable to a perpetrator's attack.To ensure the authenticity of the classical channel at initial system startup, a seed key is required, which is used to provide information-theoretic authentication.In essence, quantum cryptography systems are mechanisms for expanding this seed key.Subsequent sessions generate a quantum key, part of which is used for authentication, while another part is employed for other cryptographic purposes, such as encryption.An issue fundamental for quantum cryptography is the number of quantum key distribution sessions that can be conducted from the initial system launch until a new system reboot, when the cryptographic properties of the quantum keys reach a critical level, after which they can no longer be used for cryptographic purposes, and a new system reboot is needed.Although a number of reviews on quantum cryptography are currently available, this issue has not been discussed in detail.It is shown that for realistic parameters of quantum cryptography systems that are currently achievable, a QKD system can operate for I.
Currently many symmetric key cryptographic tools which are known to be quantum-safe. They all share Secret symmetric keys through an untrusted medium which is usually done with public key methods which are prone to quantum attacks. One among the recommended solutions to the key distribution problem is Quantum Key Distribution (QKD). QKD utilizes an authenticated Communication channel along with a quantum communication channel so that a secret key is generated. Whatever may be the protocol to implement proposed QKD, they all need both a quantum channel, and an authenticated classical. OTP (One Time Pad) is used when two parties wish to communications have to share a key called pad. This pad is a randomly generated key and the length of the key should be equal to the message so it can be sent. The proposed QKD parameters that result in almost 35.67% smaller keys for quantum security and an implementation of QKD in network which is publicly available and usable in practice.
Abstract Quantum cryptography systems are systems for extending the initial start key, which is required at the start of the system, to ensure information-theoretic authentication of messages in the classical communication channel. In subsequent sessions, a quantum key is generated, part of which is used for authentication in subsequent sessions. There is a fundamental question for quantum cryptography—how many sessions of quantum key distribution (QKD) can be held until the cryptographic properties of the quantum keys are reached a critical level, after which they can no longer be used for cryptographic purposes, and a new restart of the quantum cryptography system will be required. An explicit expression of the allowable number of sessions of quantum key distribution is obtained. It is shown that for the real parameters of the system, it is possible for the system to work almost indefinitely until the next initialization.
Abstract Most modern cryptographic mechanisms are often based on the key distribution schemes, the security of which depends on the computational complexity and the power used to break the encryption. Quantum Key Distribution (QKD) is gaining popularity as a panacea to the issue of secure key distribution due to its ability to show secret keys' information-theoretic protection that is already suitable for commercialization. The goal is to generate a secret key between trusted parties connected through a quantum channel and an authenticated classical channel. The technology promises unconditional secure communication based on the principles of quantum mechanics without limiting the power of an eavesdropper. The first three sections provide a contemporary review of the Quantum Key Distribution in a nutshell. The remaining part of the paper deals with the key parameters and implementations that have been developed to assess the security of the leading experimental platforms and the challenges with respect to the development of this technology such as optimally overlaying the logic gates via quantum-dot cellular automata, which also creates possible avenues for research in the cryptographic domain.
Quantum Cryptography is a novel approach to make the information and network world more secure. Unlike classical cryptography, quantum cryptography ensures the security of communication because it is based on the laws of Quantum Mechanics; a branch of physics that deals with the fundamental behavior of matter and their energies to the levels of subatomic particles. These particles and their intrinsic properties such as photon polarization and entanglement allow us to develop an unbreakable system of cryptographic information. Conventionally, the security has been primarily concerned with the secured distribution of secret key carried over an insecure channel. However, in Quantum Cryptographic systems the transmission of secret key is done using aforementioned laws of nature through a secured quantum channel highly susceptible to intrusion detection. Consequently, the Quantum Key Distribution (QKD), in conjunction with protocols such as BB84 protocol has emerged as an ultimate modern secured communication system. This article concentrates on briefly reviewing quantum cryptography, some recent developments and reports of its vulnerabilities.
The quantum cryptography approach is a significant change in secure communication in the sense that quantum cryptography bases its security on the law of quantum physics as opposed to computation difficulty. With classical encryption methods rapidly losing their resistance to the power of the underlying computers as well as the expected possibilities of the quantum computers, quantum cryptography comes into the limelight as a possible method of securing information in the long term. The paper is a detailed and systematic review of quantum cryptography along with the fundamentals of this practice, the way it works, and its practical implementation. It describes the ability of quantum phenomena to be unique (including superposition, uncertainty, and disturbance of measurement) and able to secure a key exchange as well as ensure any attempt of eavesdropping would be automatically noticed.In the review, the authors mainly discuss quantum key distribution (QKD) protocols, their functioning principles, security assurances, and the benefits of quantum over classical key exchange schemes. Besides that, the paper critically evaluates the real issues surrounding the implementation of quantum cryptographic systems such as hardware limitations, transmission range, environmental noise, and compatibility, to existing compatibility infrastructures. Recent advances in the field of experiments and pilot implementations are presented to determine the maturity of new technologies, and their suitability to be used on a large scale. Through its analytical review of theoretical assets, as well as practical constraints, this paper offers a definite and equalist view of the state of quantum cryptography today and also explains the research priorities important in its scale, moving away of the test production systems to the dependable and extensive security measures.
Quantum cryptography is a revolutionary field that applies the principles of quantum mechanics to provide secure communication channels. One of the most popular techniques in quantum cryptography is Quantum Key Distribution, which uses quantum states to deliver secure keys. The main advantage of quantum cryptography is that it offers protection against eavesdropping and tampering, which is not possible with classical encryption methods. This is because copying data in a quantum state is virtually impossible, and any attempt to intercept or manipulate the data will result in its complete alteration. As a result, any third-party interference can be detected quickly. Traditional cryptographic algorithms used in modern cryptography are vulnerable to attacks due to the evolution of quantum computers and mathematical advances in the decomposition of large integers. Therefore, the solution to address this vulnerability is to apply the principles of quantum physics to cryptography. The aim of the paper is to survey the current scientific achievements in the field of quantum cryptography and to present some challenging issues.