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arXiv:quant-ph/0311061

KCQ: A New Approach to Quantum Cryptography I. General Principles and Key Generation

Horace P. Yuen

Published Nov 10, 2003• 31 citations
arXivHTMLPDF

Abstract

A new approach to quantum cryptography to be called KCQ, keyed communication in quantum noise, is developed on the basis of quantum detection and communication theory for classical information transmission. By the use of a shared secret key that determines the quantum states generated for different data bit sequences, the users may employ the corresponding optimum quantum measurement to decode the data. This gives them a better error performance than an attacker who does not know the key when she makes her quantum measurement, and an overall generation of a fresh key may be obtained from the resulting advantage. This principle is illustrated in the operation of a concrete qubit system A general information-theoretic description of the overall approach will be presented, and contrasted with the detection/coding description necessary for specific protocols.

DOI
10.48550/arxiv.quant-ph/0311061

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A new approach to quantum cryptography to be called KCQ, keyed communication in quantum noise, is developed on the basis of quantum detection and communication theory for classical information transmission. By the use of a shared secret key that determines the quantum states generated for different data bit sequences, the users may employ the corresponding optimum quantum measurement to decode the data. This gives them a better error performance than an attacker who does not know the key when she makes her quantum measurement, and an overall generation of a fresh key may be obtained from the resulting advantage. This principle is illustrated in the operation of a concrete qubit system A general information-theoretic description of the overall approach will be presented, and contrasted with the detection/coding description necessary for specific protocols.
A new principle of quantum cryptography to be called KCQ, keyed CDMA in quantum noise, is developed on the basis of quantum detection theory. By the use of a shared secret key that determines the quantum states generated for different data bit values, the users may employ the corresponding optimum quantum measurement to decode each data bit. This gives them a better error performance than an attacker who does not know the key, and an overall generation of a fresh key may be obtained from the resulting advantage. This principle is illustrated in the operation of a concrete qubit system which is secure against individual attack in a simple manner. Its security against joint attacks in the presence of noise is obtained with the introduction of two new techniques, data bit randomization via source coding and deliberate error randomization via keyless randomness introduced by the user. The criterion of bit error rate, which is more appropriate than mutual information, is used in a general security analysis of key generation schemes.The criterion of protocol efficiency and its sensitivity to system parameter fluctuation is proposed as another benchmark on the evaluation of key generation protocols. A brief sketch is given on the implementation of KCQ with coherent states of considerable energy and its use in direct encryption. Another technique, deliberate signal randomization, is introduced. Some qualitative comparison among the different key generation schemes are made from with a fundamental and a practical viewpoint. Detailed quantitative results on qubits and coherent-state KCQ schemes for key generation and direct encryption performance would be presented in future papers of this series. The apparent gaps in the unconditional security proofs of previous protocols are indicated in Appendix.
The fundamental security and efficiency considerations for fresh key generation will be described. It is shown that the attacker's optimal probability of finding the generated key is an indispensable measure of security and that this probability limits the possibility of privacy amplification and the amount of fresh key that can be generated. A new approach to quantum cryptography to be called keyed communication in quantum noise (KCQ) is developed on the basis of quantum detection and communication theory for classical information transmission. KCQ key generation schemes with coherent states of considerable energy will be described. The possibility of fresh key generation is demonstrated for binary andN-ary detection systems under heterodyne attacks. The security issues of these schemes will be discussed and compared with BB84. The emphasis throughout is on concrete finite bit-length protocols.
Quantum cryptography is the study of delivering secret communications across a quantum channel. Recently, Quantum Key Distribution (QKD) has been recognized as the most important breakthrough in quantum cryptography. This process facilitates two distant parties to share secure communications based on physical laws. The BB84 protocol was developed in 1984 and remains the most widely used among BB92, Ekert91, COW, and SARG04 protocols. However the practical security of QKD with imperfect devices have been widely discussed, and there are many ways to guarantee that generated key by QKD still provides unconditional security. This paper proposed a novel method that allows users to communicate while generating the secure keys as well as securing the transmission without any leakage of the data. In this approach sender will never reveal her basis, hence neither the receiver nor the intruder will get knowledge of the fundamental basis.Further to detect Eve, polynomial interpolation is also used as a key verification technique. In order to fully utilize the quantum computing capabilities provided by IBM quantum computers, the protocol is executed using the Qiskit backend for 45 qubits. This article discusses a plot of % error against alpha (strength of eavesdropping). As a result, different types of noise have been included, and the success probability of the desired key bits has been determined. Furthermore, the success probability under depolarizing noise is explained for different qubit counts.Last but not least, even when the applied noise is increased to maximum capacity, a 50% probability of successful key generation is still observed in an experiment.
Quantum cryptography provides secret communication, which offers various security factors like confidentiality, integrity, and authentication assurance based on the law of physics. The law of physics states that quantum computing can also be applied into the communication sector, which is particularly in the field of cryptography. Then quantum can significantly distribute the data securely by applying quantum key distribution (QKD), quantum key sharing, etc. In the classical cryptography, it is difficult to compute secret keys using security concepts like key exchange and authentication, etc., and it fails to provide adequate protection during data communication as it needs some effective computation in terms of security. The lack of security in the data communication can be overcome by using the concept of quantum computing. Generally, in quantum computing, elementary quantum systems like polarized photons are used to transmit digital information based on the principle of uncertainty as it gives rise to a significant phenomenon of effective security in terms of communication compared to existing concepts related to cryptography. In quantum computing, the detection ratio for identifying the data which are sent through a communication channel is more difficult as it uses qubits and photons to represent the data that are sent. Quantum channels are used to distribute the information between two users as it passes through the unprotected classical channels as it is unknown to anyone else. Assuming that Alice and Bob use a latent noise channel to send a key, reconciliation is the process of correcting errors between Alice and Bob’s version of the key. This is done by public discussion, which leaks some information about the secret key to an undercover. This chapter gives a discussion on QKD concepts as it helps to provide a secure communication, where the information is broadcasting through a quantum channel. Finally, the various existing quantum protocols are described in relation to some security measures based on QKD, and the standard QKD protocol of BB84 is discussed.
The secure distribution of the secret random bit sequences known as `key' material, is an essential precursor to their use for the encryption and decryption of confidential communications. Quantum cryptography is an emerging technology for secure key distribution with single-photon transmissions: Heisenburg's uncertainty principle ensures that an adversary can neither successfully tap the key transmissions, nor evade detection (eavesdropping raises the key error rate above a threshold value). We have developed experimental quantum cryptography systems based on the transmission of non-orthogonal single-photon states to generate shared key material over multi-kilometer optical fiber paths and over line-of-sight links. In both cases, key material is built up using the transmission of a single- photon per bit of an initial secret random sequence. A quantum-mechanically random subset of this sequence is identified, becoming the key material after a data reconciliation stage with the sender. In our optical fiber experiment we have performed quantum key distribution over 24-km of underground optical fiber using single-photon interference states, demonstrating that secure, real-time key generation over `open' multi-km node-to-node optical fiber communications links is possible.
Quantum Key Distribution (QKD) which is the name of cryptography in quantum environment act as the highest developed area in quantum communication and computing technology (QCIT). \n \nQKD is inventive technology which utilize the laws of quantum to create a cryptographic share key to make the communication system secure. The unique feature of QKD assures eavesdropping detectable during quantum communications which is fascinating for a high-level secure environment.Most of the traditional cryptographic methods which we use currently are based on mathematical scheme or Computational complexity theory which are not completely safe. Using quantum cryptography has been achieved extensive steps in communication security establishment. As the information Unit has been changed from “bit” to Quantum bit (Qubit), a new element has been offered that can guarantee the shared information confidentiality between parties. The confidentiality of system is established via exchanging a secret key through a channel of quantum, the key which we use for encrypting the shared data. This structure has quantum integration which has been developed by physics law and techniques of cryptography. \n \nThis thesis has proposed a modified version of QKD protocol, this new protocol will generate a cryptographic share key for a more efficient, lower cost and secure communication between two parties (sender and Receiver). This new protocol principal is similar to BBM92, but the source of photon moved to sender instead of third-party photon generator, following steps will be executed in this Experiment: \n \n•\tObserve different categories protocols of QKD in details \n•\tThe Quantum Mechanics Visualisation Project (QuVis) is the simulation software that has been used for implementing the proposed protocol [BB84 with spin] among the other three (BBM92, B92 and BB84). \n•\tProbability ratio of error will be tested and compared for all protocols, for this experiment 100 to 5000 photons will be sent. \n \nBy Analysing collected data in this experiment, it will be determined which one of this four protocols lead the detecting of eavesdropping. Simulation software accomplishes the value of error key probability which receiver can use and should not pass over the range limit of 0.25 & 0.5.