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In this paper, we propose to use a twisted dihedral group algebra for public-key cryptography. For this, we introduce a new $2$-cocycle $\alpha_{\lambda}$ to twist the dihedral group algebra. Using the ambient space…

Cryptography and Security · Computer Science 2021-12-16 Javier de la Cruz , Ricardo Villanueva-Polanco

Quantum teleportation allows to transfer unknown quantum states between distant parties. It is not only a primitive of quantum communications but also an essential task in realization of the quantum networks for promising applications such…

Quantum Physics · Physics 2020-02-19 Sang Min Lee , Seung-Woo Lee , Hyunseok Jeong , Hee Su Park

A discrete complexified quaternion Fourier transform is introduced. This is a generalization of the discrete quaternion Fourier transform to the case where either or both of the signal/image and the transform kernel are complex…

Numerical Analysis · Mathematics 2008-03-19 Salem Said , Nicolas Le Bihan , Stephen J. Sangwine

We explore the conversion of classical secret-sharing schemes to quantum ones, and how this can be used to give efficient QSS schemes for general adversary structures. Our first result is that quantum secret-sharing is possible for any…

Quantum Physics · Physics 2007-05-23 Adam D. Smith

Public-key cryptography algorithms have evolved towards increasing computational complexity to hide desired messages, which is accelerating with the development of the Internet and quantum computing. This paper introduces a novel public-key…

Cryptography and Security · Computer Science 2025-12-03 Keum-Bae Cho

Quantum cryptography could well be the first application of quantum mechanics at the individual quanta level. The very fast progress in both theory and experiments over the recent years are reviewed, with emphasis on open questions and…

Quantum Physics · Physics 2009-11-07 Nicolas Gisin , Grégoire Ribordy , Wolfgang Tittel , Hugo Zbinden

In recent years, quantum computing technologies have steadily matured and have begun to find practical applications across various domains. One important area is network communication security, where Quantum Key Distribution (QKD) enables…

Cryptography and Security · Computer Science 2026-02-03 Abel C. H. Chen

The quadratic phase Fourier transform (QPFT) is a generalization of several well-known integral transforms, including the linear canonical transform (LCT), fractional Fourier transform (FrFT), and Fourier transform (FT). This paper…

Functional Analysis · Mathematics 2025-05-06 Sarga Varghese , Gita Rani Mahato , Manab Kundu

Quantum communication holds the promise of creating disruptive technologies that will play an essential role in future communication networks. For example, the study of quantum communication complexity has shown that quantum communication…

Most currently used cryptographic tools for protecting data are based on certain computational assumptions, which makes them vulnerable with respect to technological and algorithmic developments, such as quantum computing. One existing…

Quantum Physics · Physics 2023-04-28 Aleksey K. Fedorov

Secure communication is one of the key applications of quantum networks. In recent years, following the demands for identity protection in classical communication protocols, the need for anonymity has also emerged for quantum networks.…

Quantum Physics · Physics 2021-08-27 Christopher Thalacker , Frederik Hahn , Jarn de Jong , Anna Pappa , Stefanie Barz

Applications of the quantum switch on quantum channels have recently become a topic of intense discussion. In the present work, we show that some useless (for communication) channels may provide useful communication under the action of…

Quantum Physics · Physics 2023-04-11 Arindam Mitra , Himanshu Badhani , Sibasish Ghosh

Quantum communication, and indeed quantum information in general, has changed the way we think about quantum physics. In 1984 and 1991, the first protocol for quantum cryptography and the first application of quantum non-locality,…

Quantum Physics · Physics 2015-06-26 Nicolas Gisin , Rob Thew

Communication is vital in everyday life and critical for current and future military operations. However, conventional communication as we know it also has its limitations. Quantum communication allows some of these challenges to be…

Quantum Physics · Physics 2020-11-11 Niels M. P. Neumann , Maran P. P. van Heesch , Patrick de Graaf

We propose a schematic setup of quantum key distribution (QKD) with an improved secret key rate based on high-dimensional quantum states. Two degrees-of-freedom of a single photon, orbital angular momentum modes, and multi-path modes, are…

Quantum Physics · Physics 2019-01-29 Yonggi Jo , Hee Su Park , Seung-Woo Lee , Wonmin Son

Some protected password change protocols were proposed. However, the previous protocols were easily vulnerable to several attacks such as denial of service, password guessing, stolen-verifier and impersonation atacks etc. Recently, Chang et…

Cryptography and Security · Computer Science 2007-05-23 Ren-Chiun Wang , Chou-Chen Yang , Kun-Ru Mo

We give an example of a wide class of problems for which quantum information protocols based on multi-system entanglement can be mapped into much simpler ones involving one system. Secret sharing is a cryptographic primitive which plays a…

Quantum Physics · Physics 2016-03-09 Armin Tavakoli , Isabelle Herbauts , Marek Zukowski , Mohamed Bourennane

We investigate probabilistic transformations of quantum states from a `source' set to a `target' set of states. Such transforms have many applications. They can be used for tasks which include state-dependent cloning or quantum state…

Quantum Physics · Physics 2015-06-05 Vedran Dunjko , Erika Andersson

With the ever-growing concern for internet security, the field of quantum cryptography emerges as a promising solution for enhancing the security of networking systems. In this paper, 20 notable papers from leading conferences and journals…

Cryptography and Security · Computer Science 2023-06-16 Mst Shapna Akter

Quantum channels are known to provide qualitatively better information transfer capacities over their classical counterparts. Examples include quantum cryptography, quantum dense coding, and quantum teleportation. This is a short review on…

Quantum Physics · Physics 2015-03-19 Aditi Sen De , Ujjwal Sen
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