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Nuclear-norm regularization plays a vital role in many learning tasks, such as low-rank matrix recovery (MR), and low-rank representation (LRR). Solving this problem directly can be computationally expensive due to the unknown rank of…

Machine Learning · Computer Science 2015-03-19 Mingkui Tan , Shijie Xiao , Junbin Gao , Dong Xu , Anton Van Den Hengel , Qinfeng Shi

We present novel homomorphic encryption schemes for integer arithmetic, intended for use in secure single-party computation in the cloud. These schemes are capable of securely computing only low degree polynomials homomorphically, but this…

Cryptography and Security · Computer Science 2017-02-27 James Dyer , Martin Dyer , Jie Xu

Probabilistic Circuits (PCs) are tractable representations of probability distributions allowing for exact and efficient computation of likelihoods and marginals. Recent advancements have improved the scalability of PCs either by leveraging…

Machine Learning · Computer Science 2025-06-17 Honghua Zhang , Meihua Dang , Benjie Wang , Stefano Ermon , Nanyun Peng , Guy Van den Broeck

Tremendous efforts have been paid for realization of fault-tolerant quantum computation so far. However, preexisting fault-tolerant schemes assume that a lot of qubits live together in a single quantum system, which is incompatible with…

Quantum Physics · Physics 2012-03-01 Keisuke Fujii , Takashi Yamamoto , Masato Koashi , Nobuyuki Imoto

Quantum cryptographic definitions are often sensitive to the number of copies of the cryptographic states revealed to an adversary. Making definitional changes to the number of copies accessible to an adversary can drastically affect…

Quantum Physics · Physics 2026-03-10 Prabhanjan Ananth , Eli Goldin

Spin network systems can be used to achieve quantum state transfer with high fidelity and to generate entanglement. A new approach to design spin-chain-based spin network systems, for shortrange quantum information processing and…

Quantum Physics · Physics 2024-01-01 Abdulsalam H. Alsulami , Irene D'Amico , Marta P. Estarellas , Timothy P. Spiller

In this paper, we develop efficient randomized algorithms for estimating probabilistic robustness margin and constructing robustness degradation curve for uncertain dynamic systems. One remarkable feature of these algorithms is their…

Optimization and Control · Mathematics 2008-05-13 Xinjia Chen , Kemin Zhou , Jorge L. Aravena

Noisy measurements of a physical unclonable function (PUF) are used to store secret keys with reliability, security, privacy, and complexity constraints. A new set of low-complexity and orthogonal transforms with no multiplication is…

Signal Processing · Electrical Eng. & Systems 2020-04-07 Onur Günlü , Rafael F. Schaefer

$k$-uniform states are valuable resources in quantum information, enabling tasks such as teleportation, error correction, and accelerated quantum simulations. The practical realization of $k$-uniform states, at scale, faces major obstacles:…

Quantum Physics · Physics 2025-10-14 Shayan Majidy , Dominik Hangleiter , Michael J. Gullans

With increasing concerns about security, the need for highly secure physical biometrics-based authentication systems utilizing \emph{cancelable biometric} technologies is on the rise. Because the problem of cancelable template generation…

Computer Vision and Pattern Recognition · Computer Science 2015-05-22 Devansh Arpit , Ifeoma Nwogu , Gaurav Srivastava , Venu Govindaraju

Functional encryption is a powerful cryptographic primitive that enables fine-grained access to encrypted data and underlies numerous applications. Although the ideal security notion for FE (simulation security) has been shown to be…

Cryptography and Security · Computer Science 2026-01-27 Mohammed Barhoush , Arthur Mehta , Anne Müller , Louis Salvail

We study the problem of constructing strong approximate unitary $k$-designs on $D$-dimensional grids (and more generally on Cartesian products of graphs), building on the work of Schuster et al. arXiv:2509.26310 which establishes strong…

Quantum Physics · Physics 2026-05-06 Marten Folkertsma , Lorenzo Grevink , Jonas Helsen , Alicja Dutkiewicz

In this work we investigate the min-max-min robust optimization problem and the k-adaptability robust optimization problem for binary problems with uncertain costs. The idea of the first approach is to calculate a set of k feasible…

Optimization and Control · Mathematics 2023-08-16 Jannis Kurtz

Pseudo-Random Bit Generation (PRBG) is required in many aspects of cryptography as well as in other applications of modern security engineering. In this work, PRBG based on 2D symmetrical chaotic mappings of logistic type is considered. The…

Chaotic Dynamics · Physics 2008-01-28 C. Pellicer-Lostao , R. Lopez-Ruiz

Generating secure random numbers is a central problem in cryptography that needs a reliable source of enough computing entropy. Without enough entropy available - meaning no good source of secure random numbers - a device is susceptible to…

Cryptography and Security · Computer Science 2018-10-02 JV Roig

Pseudo-random number generators are widely used in many branches of science, mainly in applications related to Monte Carlo methods, although they are deterministic in design and, therefore, unsuitable for tackling fundamental problems in…

Physical Unclonable Functions (PUFs) are modern solutions for cheap and secure key storage. The security level strongly depends on a PUF's unpredictability, which is impaired if certain bits of the PUF response tend towards the same value…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Florian Wilde , Michael Pehl

Secure communication is of paramount importance in modern society. Asymmetric cryptography methods such as the widely used RSA method allow secure exchange of information between parties who have not shared secret keys. However, the…

Assuming a cloning oracle, satisfiability, which is an NP complete problem, is shown to belong to $BPP^C$ and $BQP^C$ (depending on the ability of the oracle C to clone either a binary random variable or a qubit). The same result is…

Quantum Physics · Physics 2007-05-23 John A. Drakopoulos , Theodore N. Tomaras

A physical unclonable function (PUF) generates hardware intrinsic volatile secrets by exploiting uncontrollable manufacturing randomness. Although PUFs provide the potential for lightweight and secure authentication for increasing numbers…

Cryptography and Security · Computer Science 2020-05-05 Yansong Gao , Marten van Dijk , Lei Xu , Wei Yang , Surya Nepal , Damith C. Ranasinghe