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A Secure Key Distribution System of Quantum Cryptography Based on the Coherent State

Guang‐Can Guo, Xiaoyu Zhang

Published Jan 1, 1996• 0 citations
OpenAlex

Abstract

The cryptographic communication has a lot of important applications, particularly in the magnificent prospects of private communication. As one knows, the security of cryptographic channel depends crucially on the secrecy of the key. The Vernam cipher is the only cipher system which has guaranteed security. In that system the key must be as long as the message and most be used only once. Quantum cryptography is a method whereby key secrecy can be guaranteed by a physical law. So it is impossible, even in principle, to eavesdrop on such channels. Quantum cryptography has been developed in recent years. Up to now, many schemes of quantum cryptography have been proposed. Now one of the main problems in this field is how to increase transmission distance. In order to use quantum nature of light, up to now proposed schemes all use very dim light pulses. The average photon number is about 0.1. Because of the loss of the optical fiber, it is difficult for the quantum cryptography based on one photon level or on dim light to realize quantum key-distribution over long distance. A quantum key distribution based on coherent state is introduced in this paper. Here we discuss the feasibility and security of this scheme.

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Cryptographic protocols can be classified by the type of security against eavesdropping which they provide. There exist mathematically secure schemes whose security relies on mathematical proofs (like the Vernam cipher discussed below) or conjectures (like public key RSA encryption) about the complexity of deciphering the message without possessing the correct key. The majority of current secure public Internet connections rely on such schemes. Alternatively, a cryptographic setup may provide a physically secure method for communicating. In these setups the security is provided by the physical laws governing the communication protocol. Here we first discuss a provably secure classical communication protocol and then quantum methods for distributing the necessary keys. The BB84 protocol relies on the impossibility of perfectly distinguishing non-orthogonal quantum states from one copy of the quantum system. The scheme was invented in 1984 and is the first of its kind. In contrast, the Ekert91 protocol makes use of Bell correlations between entangled pairs of photons. These correlations are destroyed when Eve attempts to make a measurement on one of the particles but also when imperfections, such as decoherence processes, affect the scheme. As long as no such “elements of reality” are introduced, and Bell correlations violating local realism can be generated by Alice and Bob, no eavesdropper can be present. One-time pads and the Vernam cipher The Vernam cipher is a cryptographic protocol which allows the encryption and decryption protocol to be publicly known. The security of the protocol relies entirely on the key which is private and not publicly known. Alice and Bob share identical n -bit secret key strings (one-time pad).

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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.

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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.

Information systems mechanics and control•Nov 7, 2015•1 citation
The cryptographic communication has a lot of important applications, particularly in the magnificent prospects of private communication. As one knows, the security of cryptographic channel depends crucially on the secrecy of the key. The Vernam cipher is the only cipher system which has guaranteed security. In that system the key must be as long as the message and most be used only once. Quantum cryptography is a method whereby key secrecy can be guaranteed by a physical law. So it is impossible, even in principle, to eavesdrop on such channels. Quantum cryptography has been developed in recent years. Up to now, many schemes of quantum cryptography have been proposed. Now one of the main problems in this field is how to increase transmission distance. In order to use quantum nature of light, up to now proposed schemes all use very dim light pulses. The average photon number is about 0.1. Because of the loss of the optical fiber, it is difficult for the quantum cryptography based on one photon level or on dim light to realize quantum key-distribution over long distance. A quantum key distribution based on coherent state is introduced in this paper. Here we discuss the feasibility and security of this scheme.
In today's communication networks, the widespread use of optical fiber and passive optical elements allows to use quantum key distribution (QKD) in the current standard optical network infrastructure. In the past few years, quantum key distribution schemes have attracted much study. The security of modern cryptographic methods, like asymmetric cryptography, relies heavily on the problem of factoring large integers (Rivest et al., 1978), (Schneier, 1996). In the future, if quantum computers become reality, any information exchange using current classical cryptographic schemes will be immediately insecure (Shor, 1994), (Shor, 1997). Current classical cryptographic methods are not able to guarantee longterm security. Other cryptographic methods, with absolute security must be applied in the future.
Abstract Quantum key distribution plays an important role in modern cryptography, since the security of the transmitted keys is guaranteed by fundamental laws of nature. A method using pseudorandom number generators well known from classical cryptography is considered. It is shown that their use in quantum cryptography makes it possible to increase the key generation rate under very weak assumptions about the capabilities of the eavesdropper. A practical scheme of a coherent-state quantum key distribution protocol using pseudorandom sequences is proposed. The cryptographic strength of the proposed protocol against a beam-splitting attack is considered.
Cryptographic protocols can be classified by the type of security against eavesdropping which they provide. There exist mathematically secure schemes whose security relies on mathematical proofs (like the Vernam cipher discussed below) or conjectures (like public key RSA encryption) about the complexity of deciphering the message without possessing the correct key. The majority of current secure public Internet connections rely on such schemes. Alternatively, a cryptographic setup may provide a physically secure method for communicating. In these setups the security is provided by the physical laws governing the communication protocol. Here we first discuss a provably secure classical communication protocol and then quantum methods for distributing the necessary keys. The BB84 protocol relies on the impossibility of perfectly distinguishing non-orthogonal quantum states from one copy of the quantum system. The scheme was invented in 1984 and is the first of its kind. In contrast, the Ekert91 protocol makes use of Bell correlations between entangled pairs of photons. These correlations are destroyed when Eve attempts to make a measurement on one of the particles but also when imperfections, such as decoherence processes, affect the scheme. As long as no such “elements of reality” are introduced, and Bell correlations violating local realism can be generated by Alice and Bob, no eavesdropper can be present. One-time pads and the Vernam cipher The Vernam cipher is a cryptographic protocol which allows the encryption and decryption protocol to be publicly known. The security of the protocol relies entirely on the key which is private and not publicly known. Alice and Bob share identical n -bit secret key strings (one-time pad).
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.
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.