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RSUH/RGGU Bulletin Series Information Science Information Security Mathematics

QUANTUM CRYPTOGRAPHY. THE HISTORY OF ITS ORIGIN, CURRENT STATUS AND DEVELOPMENT PROSPECTS

Valery V. Arutyunov, Kirill A. Gradusov

Published Jan 1, 2021• 2 citations
Publisher

Abstract

At the beginning of the 20th century, the quantum theory, which replaced the traditional ideas about the world, brought with it a number of illogical at that time and at the same time strange for the classical worldview restrictions on the permissibility of the influence of human society on material objects. Over the past few decades, scientists from a number of countries have been discussing the creation of a cipher founded by quantum cryptography, which is based on the use of photons and the principle of their polarization for the creation of unique codes that are almost impossible to crack. Considering cryptography as a kind of art form that allows hiding secret information in a sequence of zeros and ones, it can be noted that even today quantum cryptography is in demand not only in government communications and in big business. In addition, the constant increase in the transmission speed and the reduction in the cost of implementing a number of processes allow one to hope for an increasingly widespread use of quantum cryptosystems in various fields already in the next decade. The world’s largest institutions and companies are currently engaged in work in the field of quantum cryptography that makes grounds for talking about the formation of a market segment where almost all its participants are part of such a process. The article discusses the development of quantum cryptography over the past 30 years.

DOI
10.28995/2686-679x-2021-3-82-95

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At the beginning of the 20th century, the quantum theory, which replaced the traditional ideas about the world, brought with it a number of illogical at that time and at the same time strange for the classical worldview restrictions on the permissibility of the influence of human society on material objects. Over the past few decades, scientists from a number of countries have been discussing the creation of a cipher founded by quantum cryptography, which is based on the use of photons and the principle of their polarization for the creation of unique codes that are almost impossible to crack. Considering cryptography as a kind of art form that allows hiding secret information in a sequence of zeros and ones, it can be noted that even today quantum cryptography is in demand not only in government communications and in big business. In addition, the constant increase in the transmission speed and the reduction in the cost of implementing a number of processes allow one to hope for an increasingly widespread use of quantum cryptosystems in various fields already in the next decade. The world’s largest institutions and companies are currently engaged in work in the field of quantum cryptography that makes grounds for talking about the formation of a market segment where almost all its participants are part of such a process. The article discusses the development of quantum cryptography over the past 30 years.
A common desire in today's world is that of security. Whether it is keeping your e-mail private or stopping the government from hacking into your computer, the idea behind cryptography is to communicate between two parties in different locations, and to secure this information from outsiders. During the last half century there have been numerous advances in encryption schemes and also in the machines that process such information. Modern encryption algorithms have become increasingly more complex with advances in computers and technology, and encryption algorithms such as RSA and DES have been presented as algorithms that have remained secure for decades. These recent advances in encryption schemes will be examined in the first part of this paper. On the other hand, because the security of classical ciphers relies on the secrecy of a key, advances in research and computing may begin to compromise the security of these cryptosystems, as quantum computers would be capable of mathematical calculations that could break many modern encryption algorithms. Unlike classical cryptosystems, quantum cryptography obeys the laws of quantum physics, resulting in a much stronger, provable security. Many great advances have come in recent decades, and the latter part of this paper deals with these advances as well as the phenomena of quantum physics, the evolution of quantum computing, and the study of quantum cryptography.
Cryptography has a long and fascinating history, evolving from ancient techniques to modern methods and now exploring the potential of quantum mechanics. This review paper provides a comprehensive overview of cryptographic techniques from past to present. We begin by examining ancient cryptographic techniques, tracing their origins back to 2000 B.C. when the ancient Egyptians used "secret" hieroglyphics. We also discuss evidence from ancient Greece and Rome, such as secret writings and the famous Caesar cipher [1]. These early methods laid the foundation for the field of cryptography. Next, we delve into modern cryptographic techniques that have become increasingly complex and diverse in their applications. We explore how cryptography now makes extensive use of mathematical concepts from fields like information theory, computational complexity, statistics, combinatorics, abstract algebra, number theory, and finite mathematics. We also discuss how the development of digital computers and electronics has revolutionized cryptography, allowing for the encryption of any kind of binary data and the design of much more intricate ciphers [2]. Finally, we examine the emerging field of quantum cryptography, which aims to harness the principles of quantum mechanics to achieve new cryptographic functionalities beyond classical information alone. We survey some of the most remarkable theoretical uses of quantum information for cryptography, as well as the limitations and challenges faced by cryptographers in this new paradigm [3]. By tracing the evolution of cryptography from ancient times to the present day and beyond, this review paper provides valuable insights into the rich history and promising future of this critical field of study.
The practical implementation of quantum information technologies requires, for the most part, highly advanced and currently experimental procedures. One exception is quantum cryptography, or quantum key distribution, which has been successfully demonstrated in many laboratories and has reached an advanced level of development. It will probably become the first commercial application of quantum information. In quantum key distribution, Alice and Bob exploit a quantum channel to create a secret shared key comprising a random string of binary digits. This key can then be used to protect a subsequent communication between them. The principal idea is that the secrecy of the key distribution is ensured by the laws of quantum physics. Proving security for practical communication systems is a challenging problem and requires techniques that are beyond the scope of this book. At a fundamental level, however, the ideas are simple and may readily be understood with the knowledge we have already acquired. Quantum cryptography is the latest idea in the long history of secure (and not so secure) communications and, if it is to develop, it will have to compete with existing technologies. For this reason we begin with a brief survey of the history and current state of the art in secure communications before turning to the possibilities offered by quantum communications. The history of cryptography is a long and fascinating one. As a consequence of the success or, more spectacularly, the failure of ciphers, wars have been fought, battles decided, kingdoms won, and heads lost. In the information age, ciphers and cryptosystems have become part of everyday life; we use them to protect our computers, to shop over the Internet, and to access our money via an ATM (automated teller machine). One of the oldest and simplest of all ciphers is the transposition or Caesarean cipher (attributed to Julius Caesar), in which the letters are shifted by a known (and secret) number of places in the alphabet. If the shift is 1, for example, then A is enciphered as B, B→C, · · ·, Y→Z, Z→A. A shift of five places leads us to make the replacements A→F, B→G, · · ·, Y→D, Z→E.
Quantum cryptography is a relatively new but promising method for secure data transmission. Today it is believed that it can ensure the absolute secrecy of data, resulting from the principles of quantum physics, on which it is based, namely the uncertainty principle of quantum Heisenberg. According to this principle cannot measure any aspect of photons without distorting thus irrevocably different option. That is the recipient of a message knows when attempting invasion in this necessarily knows.To create a quantum communication channel often use fiber optic lines or open space in which carriers serve single photons or pairs of entangled photons are often used.Three tasks facing cryptography are:1. Ensuring the confidentiality of messages sent via open communication channels.2. Authentication messages that confirm the validity of the information received and sent.3. Installing intrusion in fact, if it took place.Given the importance of information security, quantum cryptography technology will soon be available not only banks or large corporations but also individuals. Leading IT companies are in search of optimum circuit solutions that would produce industrial equipment for the transmission of confidential information available for mass use. The main obstacles for implementation of quantum cryptography methods are short distances, which can transmit information with modern facilities, high cost and cumbersome equipment. To solve these problems prompted the idea of creating a hybrid air-fiber system using satellite communications is proposed. The use of artificial satellites for the transmission of photons through the air opens the possibility of secret key clients in any part of the Earth and even beyond.It is also appropriate to review the possibility of using existing telecommunication and electrical networks for the transmission of quantum keys. The ideas p presented in the paper, open new space for scientific experiments.
The word cryptography originates from two Greek words: kryptos (secret) and graphein (writing). Thus cryptography is the art of communicating a message in secret manner or in other words, it is the art of rendering a message unintelligible to any unauthorized party. Its history is very old and exciting. From the beginning of human civilization there was a need to hide information from unauthorized people. This need gave birth to cryptography. Initial cryptographic protocols were very simple. With time they have become much more sophisticated and secure. However, all the classical cryptographic protocols developed so far are secure under some assumptions. In contrast, the protocols of quantum cryptography are unconditionally secure. This particular aspect of quantum cryptography makes it very interesting. This chapter aims to provide a flavor of the intrinsic beauty of various aspects of secure quantum communication. Before we start a journey into the fascinating world of secure quantum communication, it would be apt to become familiar with the jargon used in this field and also with some interesting protocols of classical cryptography. Let us first do that.
Quantum Cryptography is an approach to securing communications by applying the phenomena of quantum physics. Unlike traditional classical cryptography, which uses mathematical techniques to restrict eavesdroppers, quantum cryptography is focused on the physics of information. The security of these transmissions is based on the inviolability of the laws of quantum mechanics. The quantum cryptography relies on two important elements of quantum mechanics-the Heisenberg Uncertainty principle and the principle of photon polarization. This paper summarizes the current state of quantum cryptography and the real–world application implementation of this technology.