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This work introduces a hybrid quantum-classical method to correlation clustering, a graph-based unsupervised learning task that seeks to partition the nodes in a graph based on pairwise agreement and disagreement. In particular, we adapt…

Learning with Errors is one of the fundamental problems in computational learning theory and has in the last years become the cornerstone of post-quantum cryptography. In this work, we study the quantum sample complexity of Learning with…

量子物理 · 物理学 2019-03-27 Alex B. Grilo , Iordanis Kerenidis , Timo Zijlstra

Constructing cryptographic schemes with tight or almost-tight security has long been one of the central problems in theoretical cryptography. At ASIACRYPT 2016, Boyen and Li posed an open problem: whether it is possible to construct a…

密码学与安全 · 计算机科学 2026-03-19 Heng Guo , Fengxia Liu , Kun Tian , Zhiyong Zheng

Another threat is the development of large quantum computers, which have a high likelihood of breaking the high popular security protocols because it can use both Shor and Grover algorithms. In order to fix this looming threat,…

密码学与安全 · 计算机科学 2025-12-23 Navin Chhibber , Amber Rastogi , Ankur Mahida , Vatsal Gupta , Piyush Ranjan

We know the classical public cryptographic algorithms are based on certain NP-hard problems such as the integer factoring in RSA and the discrete logarithm in Diffie-Hellman. They are going to be vulnerable with fault-tolerant quantum…

密码学与安全 · 计算机科学 2023-02-21 Randy Kuang

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…

量子物理 · 物理学 2017-02-01 Thomas Santoli , Christian Schaffner

Iterative decoding was not originally introduced as the solution to an optimization problem rendering the analysis of its convergence very difficult. In this paper, we investigate the link between iterative decoding and classical…

信息论 · 计算机科学 2010-01-13 Florence Alberge , Ziad Naja , P. Duhamel

Currently there is an active Post-Quantum Cryptography (PQC) solutions search, which attempts to find cryptographic protocols resistant to attacks by means of for instance Shor polynomial time algorithm for numerical field problems like…

密码学与安全 · 计算机科学 2017-04-25 Pedro Hecht

The security of a deterministic quantum scheme for communication, namely the LM05 [1], is studied in presence of a lossy channel under the assumption of imperfect generation and detection of single photons. It is shown that the scheme…

量子物理 · 物理学 2008-07-03 M. Lucamarini , A. Cere' , G. Di Giuseppe , S. Mancini , D. Vitali , P. Tombesi

Applying the Fiat-Shamir transform on identification schemes is one of the main ways of constructing signature schemes. While the classical security of this transformation is well understood, it is only very recently that generic results…

量子物理 · 物理学 2021-03-17 André Chailloux

Post-quantum cryptography is inevitable. National Institute of Standards and Technology (NIST) starts standardizing quantum-resistant public-key cryptography (aka post-quantum cryptography). The reason is that investment in quantum…

量子物理 · 物理学 2022-08-02 Quan Thoi Minh Nguyen

In this work we first examine the hardness of solving various search problems by hybrid quantum-classical strategies, namely, by algorithms that have both quantum and classical capabilities. We then construct a hybrid quantum-classical…

量子物理 · 物理学 2023-11-08 Alexandru Cojocaru , Juan Garay , Fang Song

Quantum computers can break the RSA and El Gamal public-key cryptosystems, since they can factor integers and extract discrete logarithms. If we believe that quantum computers will someday become a reality, we would like to have…

密码学与安全 · 计算机科学 2010-10-19 Hang Dinh , Cristopher Moore , Alexander Russell

In this paper, we study the Learning With Errors problem and its binary variant, where secrets and errors are binary or taken in a small interval. We introduce a new variant of the Blum, Kalai and Wasserman algorithm, relying on a…

密码学与安全 · 计算机科学 2015-07-01 Paul Kirchner , Pierre-Alain Fouque

The development and implementation of post-quantum cryptosystems have become a pressing issue in the design of secure computing systems, as general quantum computers have become more feasible in the last two years. In this work, we…

密码学与安全 · 计算机科学 2019-03-12 Lake Bu , Rashmi Agrawal , Hai Cheng , Michel A. Kinsy

In 2002, Johnson et al. posed an open problem at the Cryptographers' Track of the RSA Conference: how to construct a secure homomorphic signature on a semigroup, rather than on a group. In this paper, we introduce, for the first time, a…

密码学与安全 · 计算机科学 2025-03-24 Heng Guo , Kun Tian , Fengxia Liu , Zhiyong Zheng

Post-quantum cryptography-PQC- aims to develop public-key primitives that are secure against adversaries using classical and quantum computing technologies. This study introduces novel protocols, a key encapsulation mechanism, a digital…

密码学与安全 · 计算机科学 2026-01-05 Juan Pedro Hecht , Hugo Daniel Scolnik

This paper presents a novel post-quantum cryptosystem based on high-memory masked convolutional codes. Unlike conventional code-based schemes that rely on block codes with fixed dimensions and limited error-correction capability, our…

密码学与安全 · 计算机科学 2025-10-20 Meir Ariel

Post-quantum cryptography has gained attention due to the need for secure cryptographic systems in the face of quantum computing. Code-based and lattice-based cryptography are two prominent approaches, both heavily studied within the NIST…

密码学与安全 · 计算机科学 2024-10-16 Anna-Lena Horlemann , Karan Khathuria , Marc Newman , Amin Sakzad , Carlos Vela Cabello

The Diophantine Equation Hard Problem (DEHP) is a potential cryptographic problem on the Diophantine equation $U=\sum \limits_{i=1}^n {V_i x_{i}}$. A proper implementation of DEHP would render an attacker to search for private parameters…

密码学与安全 · 计算机科学 2011-12-23 M. R. K. Ariffin , M. A. Asbullah , N. A. Abu