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Machine learning on encrypted data has received a lot of attention thanks to recent breakthroughs in homomorphic encryption and secure multi-party computation. It allows outsourcing computation to untrusted servers without sacrificing…

Machine Learning · Computer Science 2021-09-24 Theo Ryffel , Edouard Dufour-Sans , Romain Gay , Francis Bach , David Pointcheval

Block encoding is a successful technique used in several powerful quantum algorithms. In this work we provide an explicit quantum circuit for block encoding a sparse matrix with a periodic diagonal structure. The proposed methodology is…

A block cipher is a bijective function that transforms a plaintext to a ciphertext. A block cipher is a principle component in a cryptosystem because the security of a cryptosystem depends on the security of a block cipher. A Feistel…

Cryptography and Security · Computer Science 2017-03-27 Kwangsu Lee

Bernstein and Varizani have given the first quantum algorithm to solve parity problem in which a strong violation of the classical imformation theoritic bound comes about. In this paper, we refine this algorithm with fewer resource and…

Quantum Physics · Physics 2009-11-06 Jiangfeng Du , Mingjun Shi , Jihui Wu , Xianyi Zhou , Yangmei Fan , BangJiao Ye , Rongdian Han

DAGS scheme is a key encapsulation mechanism (KEM) based on quasi-dyadic alternant codes that was submitted to NIST standardization process for a quantum resistant public key algorithm. Recently an algebraic attack was devised by Barelli…

Cryptography and Security · Computer Science 2021-03-05 Magali Bardet , Manon Bertin , Alain Couvreur , Ayoub Otmani

We present new algorithms to compute fundamental properties of a Boolean function given in truth-table form. Specifically, we give an O(N^2.322 log N) algorithm for block sensitivity, an O(N^1.585 log N) algorithm for `tree decomposition,'…

Computational Complexity · Computer Science 2007-05-23 Scott Aaronson

One of the earliest quantum algorithms was discovered by Bernstein and Vazirani, for a problem called Recursive Fourier Sampling. This paper shows that the Bernstein-Vazirani algorithm is not far from optimal. The moral is that the need to…

Quantum Physics · Physics 2007-05-23 Scott Aaronson

In this paper we show that it is possible to retrieve structural information about complex block-oriented nonlinear systems, starting from linear approximations of the nonlinear system around different setpoints.The key idea is to monitor…

In symmetric cryptanalysis, the model of superposition queries has led to surprising results, with many constructions being broken in polynomial time thanks to Simon's period-finding algorithm. But the practical implications of these…

Neutral atom quantum processors provide a viable route to scalable quantum computing, with recent demonstrations of high-fidelity and parallel gate operations and initial implementation of quantum algorithms using both physical and logical…

Quantum Physics · Physics 2024-02-06 K. McInroy , N. Pearson , J. D. Pritchard

Block ciphers are in widespread use since the 1970s. Their iterated structure is prone to numerous round invariant attacks for example in Linear Cryptanalysis (LC). The next step is to look at non-linear polynomial invariants cf.…

Cryptography and Security · Computer Science 2020-02-11 Nicolas T. Courtois

Establishing the security of continuous-variable quantum key distribution against general attacks in a realistic finite-size regime is an outstanding open problem in the field of theoretical quantum cryptography if we restrict our attention…

Quantum Physics · Physics 2017-05-17 Anthony Leverrier

We provide simple schemes to build Bayesian Neural Networks (BNNs), block by block, inspired by a recent idea of computation skeletons. We show how by adjusting the types of blocks that are used within the computation skeleton, we can…

Machine Learning · Statistics 2018-06-12 Hao Henry Zhou , Yunyang Xiong , Vikas Singh

Quantum algorithms can break factoring and discrete logarithm based cryptography and weaken symmetric cryptography and hash functions. In order to estimate the real-world impact of these attacks, apart from tracking the development of…

Quantum Physics · Physics 2019-02-11 Vlad Gheorghiu , Michele Mosca

Matrices with the displacement structures of circulant, Toeplitz, and Hankel types as well as matrices with structures generalizing these types are omnipresent in computations of sciences and engineering. In this paper, we present efficient…

Quantum Physics · Physics 2021-10-06 Lin-Chun Wan , Chao-Hua Yu , Shi-Jie Pan , Su-Juan Qin , Fei Gao , Qiao-Yan Wen

The use of alternative operations in differential cryptanalysis, or alternative notions of differentials, are lately receiving increasing attention. Recently, Civino et al. managed to design a block cipher which is secure w.r.t. classical…

Cryptography and Security · Computer Science 2024-01-10 Marco Calderini , Roberto Civino , Riccardo Invernizzi

Quantum cryptanalysis is essential for evaluating the security of cryptographic systems against the threat of quantum computing. Recently, Shi {\it et al.} introduced a dedicated quantum attack on block cipher constructions based on…

Quantum Physics · Physics 2025-11-17 Xiao-Fan Zhen , Zhen-Qiang Li , Jia-Cheng Fan , Su-Juan Qin , Fei Gao

We study differentially private (DP) algorithms for recovering clusters in well-clustered graphs, which are graphs whose vertex set can be partitioned into a small number of sets, each inducing a subgraph of high inner conductance and small…

Data Structures and Algorithms · Computer Science 2024-03-22 Weiqiang He , Hendrik Fichtenberger , Pan Peng

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

Quantum computing experiments are transitioning from running on physical qubits to using encoded, logical qubits. Fault-tolerant computation can identify and correct errors, and has the potential to enable the dramatically reduced logical…