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The quantum Fourier transform (QFT) is central to many quantum algorithms, yet its necessity is not always well understood. We re-examine its role in canonical query problems. The Deutsch-Jozsa algorithm requires neither a QFT nor a domain…

Quantum Physics · Physics 2026-05-29 Amit Te'eni , Yaron Oz , Eliahu Cohen

With the advancement of quantum computing, symmetric cryptography faces new challenges from quantum attacks. These attacks are typically classified into two models: Q1 (classical queries) and Q2 (quantum superposition queries). In this…

Quantum Physics · Physics 2025-08-04 Yan-Ying Zhu , Bin-Bin Cai , Fei Gao , Song Lin

At SAC 2013, Berger et al. first proposed the Extended Generalized Feistel Networks (EGFN) structure for the design of block ciphers with efficient diffusion. Later, based on the Type-2 EGFN, they instantiated a new lightweight block cipher…

Cryptography and Security · Computer Science 2026-03-23 Peipei Xie , Siwei Chen , Zejun Xiang , Shasha Zhang , Xiangyong Zeng

Farfalle is a permutation-based construction for building a pseudorandom function which has been proposed by G. Bertoni et al. in 2017. In this work, we show that by observing suitable inputs to Farfalle, one can derive various…

Information Theory · Computer Science 2023-05-02 S. Hodžić , A. Roy , E. Andreeva

In this paper, security analysis of block ciphers with key length greater than block length is proposed. When key length is significantly greater than block length and the statistical distribution of cipher system is like a uniform…

Cryptography and Security · Computer Science 2013-05-21 Maghsood Parviz , Seyed Hassan Mousavi , Saeed Mirahmadi

Bayesian networks are widely used probabilistic graphical models, whose structure is hard to learn starting from the generated data. O'Gorman et al. have proposed an algorithm to encode this task, i.e., the Bayesian network structure…

Emerging Technologies · Computer Science 2022-11-16 Enrico Zardini , Massimo Rizzoli , Sebastiano Dissegna , Enrico Blanzieri , Davide Pastorello

We discuss three applications of efficient quantum algorithms to determining properties of permutations and group automorphisms. The first uses the Bernstein-Vazirani algorithm to determine an unknown homomorphism from $Z_{p-1}^{m}$ to…

Quantum Physics · Physics 2009-11-13 Marianna Bonanome , Mark Hillery , Vladimir Buzek

Simon's algorithm is a polynomial period-finding algorithm that has been used to exploit the algebraic structure of specific symmetric ciphers, showing that exponential speedups in their cryptanalysis are theoretically possible. While the…

Quantum Physics · Physics 2026-04-29 Anina Köhler , Jakob Murauer , Tim Heine , Stefan Rosemann , Tobias Hemmert

In this paper, we report the first quantum key-recovery attack on a symmetric block cipher design, using classical queries only, with a more than quadratic time speedup compared to the best classical attack. We study the 2XOR-Cascade…

Quantum Physics · Physics 2021-10-07 Xavier Bonnetain , André Schrottenloher , Ferdinand Sibleyras

Cryptanalysis on standard quantum cryptographic systems generally involves finding optimal adversarial attack strategies on the underlying protocols. The core principle of modelling quantum attacks in many cases reduces to the adversary's…

Quantum Physics · Physics 2022-04-14 Brian Coyle , Mina Doosti , Elham Kashefi , Niraj Kumar

We theoretically propose a symmetric encryption scheme based on Restricted Boltzmann Machines that functions as a probabilistic Enigma device, encoding information in the marginal distributions of visible states while utilizing bias…

Statistical Mechanics · Physics 2025-07-24 Bin Chen , Weichao Yu

We present new connections between quantum information and the field of classical cryptography. In particular, we provide examples where Simon's algorithm can be used to show insecurity of commonly used cryptographic symmetric-key…

Quantum Physics · Physics 2017-02-01 Thomas Santoli , Christian Schaffner

The variational quantum eigensolver is one of the most promising algorithms for near-term quantum computers. It has the potential to solve quantum chemistry problems involving strongly correlated electrons, which are otherwise difficult to…

Quantum Physics · Physics 2023-07-18 Luogen Xu , James K. Freericks

Linear (or differential) cryptanalysis may seem dull topics for a mathematician: they are about super simple invariants characterized by say a word on n=64 bits with very few bits at 1, the space of possible attacks is small, and basic…

Cryptography and Security · Computer Science 2019-05-14 Nicolas T. Courtois , Aidan Patrick

Let $G$ be an $n$-vertex graph with $m$ edges. When asked a subset $S$ of vertices, a cut query on $G$ returns the number of edges of $G$ that have exactly one endpoint in $S$. We show that there is a bounded-error quantum algorithm that…

Data Structures and Algorithms · Computer Science 2020-08-05 Troy Lee , Miklos Santha , Shengyu Zhang

Here we introduce an improved approach to Variational Quantum Attack Algorithms (VQAA) on crytographic protocols. Our methods provide robust quantum attacks to well-known cryptographic algorithms, more efficiently and with remarkably fewer…

Quantum Physics · Physics 2025-03-17 Borja Aizpurua , Pablo Bermejo , Josu Etxezarreta Martinez , Roman Orus

Recently, an image encryption algorithm based on scrambling and Vegin`ere cipher has been proposed. However, it was soon cryptanalyzed by Zhang et al. using a combination of chosen-plaintext attack and differential attack. This paper…

Cryptography and Security · Computer Science 2014-09-18 Li Zeng , Renren Liu , Leo Yu Zhang , Yuansheng Liu , Kwok-Wo Wong

In this paper, we propose a novel construction for a symmetric encryption scheme, referred as SEBQ which is based on the structure of quasigroup. We utilize concepts of chaining like mode of operation and present a block cipher with…

Cryptography and Security · Computer Science 2024-08-09 Satish Kumar , Harshdeep Singh , Indivar Gupta , Ashok Ji Gupta

This paper proposes a new block cipher termed as "Modular Arithmetic based Block Cipher with Varying Key-Spaces (MABCVK)" that uses private key-spaces of varying lengths to encrypt data files. There is a simple but intelligent use of theory…

Cryptography and Security · Computer Science 2012-03-28 Abhijit Chowdhury , Angshu Kumar Sinha , Saurabh Dutta

Block cipher E2, designed and submitted by Nippon Telegraph and Telephone Corporation, is a first-round Advanced Encryption Standard candidate. It employs a Feistel structure as global structure and two-layer substitution-permutation…

Cryptography and Security · Computer Science 2014-06-18 Wentan Yi , Shaozhen Chen