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Randomness is both a useful way to model natural systems and a useful tool for engineered systems, e.g. in computation, communication and control. Fully random transformations require exponential time for either classical or quantum…

量子物理 · 物理学 2016-05-04 Fernando G. S. L. Brandao , Aram W. Harrow , Michal Horodecki

While in classical cryptography, one-way functions (OWFs) are widely regarded as the "minimal assumption," the situation in quantum cryptography is less clear. Recent works have put forward two concurrent candidates for the minimal…

量子物理 · 物理学 2025-05-27 Amit Behera , Giulio Malavolta , Tomoyuki Morimae , Tamer Mour , Takashi Yamakawa

Pseudo-random operators consist of sets of operators that exhibit many of the important statistical features of uniformly distributed random operators. Such pseudo-random sets of operators are most useful whey they may be parameterized and…

量子物理 · 物理学 2009-11-10 Joseph Emerson

Physical Unclonable Functions (PUFs) leverage inherent, non-clonable physical randomness to generate unique input-output pairs, serving as secure fingerprints for cryptographic protocols like authentication. Quantum PUFs (QPUFs) extend this…

Random numbers are central to cryptography and various other tasks. The intrinsic probabilistic nature of quantum mechanics has allowed us to construct a large number of quantum random number generators (QRNGs) that are distinct from the…

量子物理 · 物理学 2023-12-21 Vaisakh Mannalath , Sandeep Mishra , Anirban Pathak

We define a pseudorandom function (PRF) $F: \mathcal{K} \times \mathcal{X} \rightarrow \mathcal{Y}$ to be bi-homomorphic when it is fully Key homomorphic and partially Input Homomorphic (KIH), i.e., given $F(k_1, x_1)$ and $F(k_2, x_2)$,…

密码学与安全 · 计算机科学 2020-08-24 Vipin Singh Sehrawat , Yvo Desmedt

A polynomial threshold function (PTF) $f:\mathbb{R}^n \rightarrow \mathbb{R}$ is a function of the form $f(x) = \mathsf{sign}(p(x))$ where $p$ is a polynomial of degree at most $d$. PTFs are a classical and well-studied complexity class…

计算复杂性 · 计算机科学 2021-11-30 Zander Kelley , Raghu Meka

A sliding-window algorithm of window size $t$ is an algorithm whose current operation depends solely on the last $t$ symbols read. We construct pseudorandom generators (PRGs) for low-space randomized sliding-window algorithms that have…

计算复杂性 · 计算机科学 2023-01-19 Augusto Modanese

Machine learning (ML) frameworks rely heavily on pseudorandom number generators (PRNGs) for tasks such as data shuffling, weight initialization, dropout, and optimization. Yet, the statistical quality and reproducibility of these…

其他计算机科学 · 计算机科学 2025-07-08 Benjamin A. Antunes

Physical Unclonable Functions (PUFs) provide hardware-level security by exploiting intrinsic randomness to produce device-unique responses. However, machine learning and side-channel attacks increasingly undermine their classical…

量子物理 · 物理学 2025-11-04 Mohammadreza Vali , Hossein Aghababa , Nasser Yazdani

Pseudo-random number generators (PRNGs) are widely used in modern computing and are expected to exhibit excellent statistical performance and repeatability. This study evaluates and compares modern PRNGs used in high performance computing…

分布式、并行与集群计算 · 计算机科学 2026-05-19 Théau Wartel , David R. C. Hill

The analysis of quantum algorithms which query random, invertible permutations has been a long-standing challenge in cryptography. Many techniques which apply to random oracles fail, or are not known to generalize to this setting. As a…

量子物理 · 物理学 2025-09-24 Joseph Carolan

A Pseudo-Random Number Generator (PRNG) is any algorithm generating a sequence of numbers approximating properties of random numbers. These numbers are widely employed in mid-level cryptography and in software applications. Test suites are…

密码学与安全 · 计算机科学 2020-11-20 Luca Pasqualini , Maurizio Parton

Black-box separations are a cornerstone of cryptography, indicating barriers to various goals. A recent line of work has explored black-box separations for quantum cryptographic primitives. Namely, a number of separations are known in the…

量子物理 · 物理学 2025-07-25 Eli Goldin , Mark Zhandry

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…

量子物理 · 物理学 2025-11-17 Xiao-Fan Zhen , Zhen-Qiang Li , Jia-Cheng Fan , Su-Juan Qin , Fei Gao

We present a new approach to constructing of pseudo-random binary sequences (PRS) generators for the purpose of cryptographic data protection, secured from the perpetrator's attacks, caused by generation of masses of hardware errors and…

密码学与安全 · 计算机科学 2018-09-10 Oleg Finko , Sergey Dichenko

We propose the concept of pseudorandom states and study their constructions, properties, and applications. Under the assumption that quantum-secure one-way functions exist, we present concrete and efficient constructions of pseudorandom…

量子物理 · 物理学 2023-11-28 Zhengfeng Ji , Yi-Kai Liu , Fang Song

Public-key quantum money is a cryptographic proposal for using highly entangled quantum states as currency that is publicly verifiable yet resistant to counterfeiting due to the laws of physics. Despite significant interest, constructing…

量子物理 · 物理学 2023-01-24 Prabhanjan Ananth , Zihan Hu , Henry Yuen

From the minimal assumption of post-quantum semi-honest oblivious transfers, we build the first $\epsilon$-simulatable two-party computation (2PC) against quantum polynomial-time (QPT) adversaries that is both constant-round and black-box…

密码学与安全 · 计算机科学 2023-11-07 Nai-Hui Chia , Kai-Min Chung , Xiao Liang , Takashi Yamakawa

We show a new PRG construction fooling depth-$d$, size-$m$ $\mathsf{AC}^0$ circuits within error $\varepsilon$, which has seed length $O(\log^{d-1}(m)\log(m/\varepsilon)\log\log(m))$. Our PRG improves on previous work (Trevisan and Xue…

计算复杂性 · 计算机科学 2023-01-25 Xin Lyu