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It is showed a new cryptosystem based on non-commutativ calculations of matrices, more specially nilpotent matrices. The cryptosystem seems powerful to restsist against usual attacks.

General Mathematics · Mathematics 2007-05-23 A. Balan

Following a sequence of hardware designs for a fully homomorphic crypto-processor - a general purpose processor that natively runs encrypted machine code on encrypted data in registers and memory, resulting in encrypted machine states -…

Cryptography and Security · Computer Science 2018-09-06 Peter Breuer , Jonathan Bowen

The problem of security of quantum key protocols is examined. In addition to the distribution of classical keys, the problem of encrypting quantum data and the structure of the operators which perform quantum encryption is studied. It is…

Quantum Physics · Physics 2016-09-08 P. Oscar Boykin

A symmetric encryption method based on properties of quasicrystals is proposed. The advantages of the cipher are strict aperiodicity and everywhere discontinuous property as well as the speed of computation, simplicity of implementation and…

Cryptography and Security · Computer Science 2007-10-02 Maryna Nesterenko , Jiri Patera , Dmytro Zhavrotskyj

In this work we review the security vulnerability of Quantum Cryptography with respect to "man-in-the-middle attacks" and the standard authentication methods applied to counteract these attacks. We further propose a modified authentication…

Quantum Physics · Physics 2007-05-23 M. Peev , M. Nölle , O. Maurhardt , T. Lorünser , M. Suda , A. Poppe , R. Ursin , A. Fedrizzi , A. Zeilinger

We discuss cryptographic applications of single-qubit rotations from the perspective of trapdoor one-way functions and public-key encryption. In particular, we present an asymmetric cryptosystem whose security relies on fundamental…

Quantum Physics · Physics 2008-03-29 Georgios M. Nikolopoulos

Bit commitment involves the submission of evidence from one party to another so that the evidence can be used to confirm a later revealed bit value by the first party, while the second party cannot determine the bit value from the evidence…

Quantum Physics · Physics 2007-05-23 H. P. Yuen

Quantum technologies hold the promise of not only faster algorithmic processing of data, via quantum computation, but also of more secure communications, in the form of quantum cryptography. In recent years, a number of protocols have…

Quantum Physics · Physics 2016-12-01 Joseph F. Fitzsimons

We establish an algorithm to encrypt and decrypt messages, where messages can be seen as elements of a finite field, using of mutations in a cluster algebra finite type.

Rings and Algebras · Mathematics 2026-05-12 Martin Ortiz Morales , Leticia Pena Tellez

The no-cloning principle of quantum mechanics enables us to achieve amazing unclonable cryptographic primitives, which is impossible in classical cryptography. However, the security definitions for unclonable cryptography are tricky.…

Quantum Physics · Physics 2024-05-21 Fuyuki Kitagawa , Ryo Nishimaki

We present two new definitions of security for quantum ciphers which are inspired by the definition of entropic security and entropic indistinguishability defined by Dodis and Smith. We prove the equivalence of these two new definitions. We…

Quantum Physics · Physics 2011-11-09 Simon Pierre Desrosiers

The need for secrecy and security is essential in communication. Secret sharing is a conventional protocol to distribute a secret message to a group of parties, who cannot access it individually but need to cooperate in order to decode it.…

Quantum Physics · Physics 2017-01-16 Ioannis Kogias , Yu Xiang , Qiongyi He , Gerardo Adesso

An overview on current developments in post quantum cryptography

Cryptography and Security · Computer Science 2018-09-13 Xenia Bogomolec , Jochen Gerhard

The desire to obtain an unconditionally secure bit commitment protocol in quantum cryptography was expressed for the first time thirteen years ago. Bit commitment is sufficient in quantum cryptography to realize a variety of applications…

Quantum Physics · Physics 2007-05-23 Gilles Brassard , Claude Crépeau , Dominic Mayers , Louis Salvail

A quantum cryptographic protocol based in public key cryptography combinations and private key cryptography is presented. Unlike the BB84 protocol [1] and its many variants [2,3] two quantum channels are used. The present research does not…

Quantum Physics · Physics 2012-05-15 Eduin H. Serna

The no-cloning theorem can be used as a basis for quantum money constructions which guarantee unconditionally unforgeable currency. Existing schemes, however, either (i) require long-term quantum memory and quantum communication between the…

Quantum Physics · Physics 2025-10-22 Dmytro Gavinsky , Dar Gilboa , Siddhartha Jain , Dmitri Maslov , Jarrod R. McClean

A central challenge in data security is not just preventing theft, but detecting whether it has occurred. Classically, this is impossible because a perfect copy leaves no evidence. Quantum mechanics, on the other hand, forbids general…

Cryptography and Security · Computer Science 2025-10-09 Vipul Goyal , Justin Raizes

When elementary quantum systems, such as polarized photons, are used to transmit digital information, the uncertainty principle gives rise to novel cryptographic phenomena unachievable with traditional transmission media, e.g. a…

Quantum Physics · Physics 2020-03-31 Charles H. Bennett , Gilles Brassard , Seth Breidbart

We give new arguments in support of \emph{signed quantum key establishment}, where quantum cryptography is used in a public-key infrastructure that provides the required authentication. We also analyze more thoroughly than previous works…

Quantum Physics · Physics 2013-03-13 Lawrence M. Ioannou , Michele Mosca

We present a garbling scheme for quantum circuits, thus achieving a decomposable randomized encoding scheme for quantum computation. Specifically, we show how to compute an encoding of a given quantum circuit and quantum input, from which…

Quantum Physics · Physics 2020-11-10 Zvika Brakerski , Henry Yuen