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The advancement of quantum computers undermines the security of classical blockchain, necessitating either a post-quantum upgrade of the existing architecture or creation of an inherently quantum blockchain. Here we propose a practically…

Quantum Physics · Physics 2022-10-25 Kumar Nilesh , P. K. Panigrahi

A continuous variable controlled quantum dialogue scheme is proposed. The scheme is further modified to obtain two other protocols of continuous variable secure multiparty computation. The first one of these protocols provides a solution of…

Quantum Physics · Physics 2022-06-07 Ashwin Saxena , Kishore Thapliyal , Anirban Pathak

Elementary review article on quantum cryptography.

Quantum Physics · Physics 2007-05-23 Miloslav Dusek , Norbert Lutkenhaus , Martin Hendrych

This paper proposes a quantum algorithm for Markov chain spectral gap estimation that is quasi-optimal (i.e., optimal up to a polylogarithmic factor) in the number of vertices for all parameters, and additionally quasi-optimal in the…

Quantum Physics · Physics 2026-01-13 Adam Connolly , Steven Herbert , Julien Sorci

Owing to its fundamental principles, quantum theory holds the promise to enhance the security of modern cryptography, from message encryption to anonymous communication, digital signatures, online banking, leader election, one-time…

Quantum Physics · Physics 2025-12-22 Mathieu Bozzio , Claude Crépeau , Petros Wallden , Philip Walther

The notion of quantum hashing formalized by F. Ablayev and A. Vasiliev in 2013. F. Ablayev and M. Ablayev in 2014 introduced the notion of quantum hash generator which is convenient technical tool for constructing quantum hash func- tions.…

Quantum Physics · Physics 2016-12-23 Mansur Ziatdinov

Unimodal maps have been broadly used as a base of new encryption strategies. Recently, a stream cipher has been proposed in the literature, whose keystream is basically a symbolic sequence of the (one-parameter) logistic map or of the tent…

Chaotic Dynamics · Physics 2013-10-29 David Arroyo , Gonzalo Alvarez , Jose Maria Amigo , Shujun Li

The paper proposes a new and systematic approach to the so-called black box group methods in computational group theory. As the starting point of our programme, we construct Frobenius maps on black box groups of untwisted Lie type in odd…

Group Theory · Mathematics 2016-03-27 Alexandre Borovik , Şükrü Yalçınkaya

Quantum correlations between two particles show non-classical properties which can be used for providing secure transmission of information. We present a quantum cryptographic system, in which users store particles in quantum memories kept…

Quantum Physics · Physics 2009-10-30 E. Biham , B Huttner , T Mor

In this paper a secret sharing scheme based on the word problem in groups is introduced. The security of the scheme and possible variations are discussed in section 2. The article concludes with the suggestion of two categories of platform…

Cryptography and Security · Computer Science 2010-09-02 Dimitrios Panagopoulos

Encryption schemes attempt to provide a means for entities to communicate confidentially over a public channel. Such schemes have been studied for centuries, and their use has become widespread. However, developments in the area of quantum…

Quantum Physics · Physics 2009-09-29 Michael Stephen Brown

A new self-synchronizing stream cipher (SSSC) is proposed based on one-way and nearest neighbor coupled integer maps. Some ideas of spatiotemporal chaos synchronization and chaotic cryptography are applied in this new SSSC system. Several…

Chaotic Dynamics · Physics 2007-05-23 Shihong Wang , Huaping Lv , Gang Hu

This article describes a new family of cryptographically secure pseudorandom number generators, based on coupled chaotic maps, that will serve as keystream in a stream cipher. The maps are a modification of a piecewise linear map, by…

Cryptography and Security · Computer Science 2010-08-18 A. B. Orue , G. Alvarez , A. Guerra , G. Pastor , M. Romera , F. Montoya

In this paper we consider several classical and novel algorithmic problems for right-angled Artin groups, some of which are closely related to graph theoretic problems, and study their computational complexity. We study these problems with…

Group Theory · Mathematics 2018-11-01 Ramón Flores , Delaram Kahrobaei , Thomas Koberda

At Eurocrypt'99, Paillier presented a public-key cryptosystem based on a novel computational problem. It has interested many researchers because it was additively homomorphic. In this paper, we show that there is a big difference between…

Cryptography and Security · Computer Science 2015-11-19 Zhengjun Cao , Lihua Liu

Recent results of Kaplan et al., building on previous work by Kuwakado and Morii, have shown that a wide variety of classically-secure symmetric-key cryptosystems can be completely broken by quantum chosen-plaintext attacks (qCPA). In such…

Quantum Physics · Physics 2017-10-11 Gorjan Alagic , Alexander Russell

For the black box groups $X$ encrypting ${\rm{PGL}}_2(q)$, $q$ odd, we propose an algorithm constructing a subgroup encrypting ${\rm{Sym}}_4$ and subfield subgroups of $X$. We also present the analogous algorithms for black box groups…

Group Theory · Mathematics 2014-03-11 Alexandre Borovik , Şükrü Yalçınkaya

Quantum cryptography -- the application of quantum computing techniques to cryptography has been extensively investigated. Two major directions of quantum cryptography are quantum key distribution (QKD) and quantum encryption, with the…

Quantum Physics · Physics 2022-02-11 Zixuan Hu , Sabre Kais

In this paper, we propose a quantum version of the differential cryptanalysis which offers a quadratic speedup over the existing classical one and show the quantum circuit implementing it. The quantum differential cryptanalysis is based on…

Quantum Physics · Physics 2019-01-04 Qing Zhou , Songfeng Lu , Zhigang Zhang , Jie Sun

By analogy to classical cryptography, we develop a "quantum public key" based cryptographic scheme in which the two public and private keys consist in each of two entangled beams of squeezed light. An analog message is encrypted by…

Quantum Physics · Physics 2007-05-23 Patrick Navez , Alessandra Gatti , Luigi A. Lugiato