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International Journal of Information Security Science

High Dimensional Quantum Digital Signature Depending on Entanglement Swapping

Arzu Aktaş, İhsan Yılmaz

Published Sep 29, 2023• 1 citation
Publisher

Abstract

While a single qubit information can be carried with a single photon in 2−dimensional quantum technology, it is possible to carry more than one qubit information with a single photon in high-dimensional quantum technologies. The amount of qubit to be transported depends on the size of the system obtained in the high dimension. In other words, the more high-dimensional quantum structure it creates, the more qubit-carrying system is obtained. In this study, a high dimensional quantum digital signature(QDS) scheme is proposed for multi-partied by using entanglement swapping and super-dense coding. QDS, which is proposed as highdimensional, allows more data and high-rate keys to be transferred. Security analysis of propesed QDS in high-dimensional show that the propablity of anyone obtaining information is much lower than in qubit states. Since all data(quantum and classic) in this protocol is instantly sent by using entanglement channels it is more resilient eavesdropping attacks. Today, developments in highdimensional experimental studies show that the high-dimensional QDS proposed in this study can be implemented practically.

DOI
10.55859/ijiss.1294840

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While a single qubit information can be carried with a single photon in 2−dimensional quantum technology, it is possible to carry more than one qubit information with a single photon in high-dimensional quantum technologies. The amount of qubit to be transported depends on the size of the system obtained in the high dimension. In other words, the more high-dimensional quantum structure it creates, the more qubit-carrying system is obtained. In this study, a high dimensional quantum digital signature(QDS) scheme is proposed for multi-partied by using entanglement swapping and super-dense coding. QDS, which is proposed as highdimensional, allows more data and high-rate keys to be transferred. Security analysis of propesed QDS in high-dimensional show that the propablity of anyone obtaining information is much lower than in qubit states. Since all data(quantum and classic) in this protocol is instantly sent by using entanglement channels it is more resilient eavesdropping attacks. Today, developments in highdimensional experimental studies show that the high-dimensional QDS proposed in this study can be implemented practically.
Guaranteeing nonrepudiation, unforgeability as well as transferability of a signature is one of the most vital safeguards in today's e-commerce era. Based on fundamental laws of quantum physics, quantum digital signature (QDS) aims to provide information-theoretic security for this cryptographic task. However, up to date, the previously proposed QDS protocols are impractical due to various challenging problems and most importantly, the requirement of authenticated (secure) quantum channels between participants. Here, we present the first quantum digital signature protocol that removes the assumption of authenticated quantum channels while remaining secure against the collective attacks. Besides, our QDS protocol can be practically implemented over more than 100 km under current mature technology as used in quantum key distribution.
Quantum digital signatures (QDSs), which are unforgeable, non-repudiable, and transferable, are widely used in quantum communication networks. Unfortunately, previous protocols have often relied on three-party models for security analysis and experimental verification. As the number of parties increases, the number of quantum links required increases exponentially, undoubtedly leading to high channel losses and cost for multi-party QDSs. This study proposes a multi-party ring QDS scheme that can effectively deal with the issue of redundant quantum links. Furthermore, compared with the previously proposed QDS protocols, our protocol can prevent repudiation attacks without symmetry operation or swap test. Hence, it also can reduce the possibility of forging attacks by eliminating the possibility of forgery using illegal strings.
Digital signatures guarantee the authenticity and transferability of messages and are widely used in modern communication. The security of currently used classical digital signature schemes, however, relies on computational assumptions. In contrast, quantum digital signature (QDS) schemes offer information-theoretic security guaranteed by the laws of quantum mechanics. We present two QDS protocols which have the same experimental requirements as quantum key distribution, which is already commercially available. We also give a security proof for the presented QDS schemes against coherent forging attacks.
Quantum digital signatures (QDSs) promise information-theoretic security against repudiation and forgery of messages. Compared with currently existing three-party QDS protocols, multiparty protocols have unique advantages in the practical case of more than two receivers when sending a mass message. However, complex security analysis, numerous quantum channels and low data utilization efficiency make it intractable to expand three-party to multiparty scenario. Here, based on six-state non-orthogonal encoding protocol, we propose an effective multiparty QDS framework to overcome these difficulties. The number of quantum channels in our protocol only linearly depends on the number of users. The post-matching method is introduced to enhance data utilization efficiency and make it linearly scale with the probability of detection events even for five-party scenario. Our work compensates for the absence of practical multiparty protocols, which paves the way for future QDS networks.
In this thesis, Quantum Key Distribution and quantum communication methods based on high-dimensional spatial coding of light are developed. Their security is based on the fundamental quantum nature of light and profits from the highdimensional Hilbert spaces offered intrinsically by imaging optics. An overview of classical information theory and quantum information is given to introduce the field of quantum cryptography. The advantages of larger dimensional alphabets and the security of the standard two-bases BB84 protocol is shown. The spatial states used for encoding are introduced. An analytic expression for the upper bound on the mutual information for these states is derived, including multiphoton states, detector noise and beam broadening. High-dimensional encoding of single photons is experimentally realized, reaching 10.5 bit per received photon. The dependence of the mutual information on the number of detector pixels is discussed and the experimental values are compared with the theoretical upper bound. It was shown that a standard error-correcting LDPC code is sufficient to achieve practically error-free communication. By adding a second mutually unbiased basis, a large-alphabet QKD system is experimentally realized and characterized. The security of this BB84-like protocol is analyzed in terms of intercept-resend and collective attacks. The key rate after postprocessing is analyzed under realistic circumstances, including finite key length. Finally, a new quantum communication method is demonstrated, which is based on encoding information into wavefronts decomposed over guided modes of a multimode fiber. At the end a step back is made and the similarities and differences of several quantum authentication and quantum cryptography schemes as well as Quantum Data Locking are discussed. This involves comparison of the characteristics of the classical channel, the quantum channel and the necessary dimension of the Hilbert space.
Digital signature scheme is commonly employed in modern electronic commerce and quantum digital signature (QDS) offers the information-theoretical security by the laws of quantum mechanics against attackers with unreasonable computation resources. The focus of previous QDS was on the signature of 1-bit message. In contrast, based on quantum ghost imaging with security test, we propose a scheme of QDS in which a multi-bit message can be signed at a time. Our protocol is no more demanding than the traditional cases for the requirements of quantum resources and classical communications. The multi-bit protocol could simplify the procedure of QDS for long messages in practical applications.