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Due to the high error rate of qubits, detecting and correcting errors is essential for achieving fault-tolerant quantum computing (FTQC). Quantum low-density parity-check (QLDPC) codes are one of the most promising quantum error correction…

A large class of problems in the current era of quantum devices involve interfacing between the quantum and classical system. These include calibration procedures, characterization routines, and variational algorithms. The control in these…

This paper presents the latest improvements introduced in Version 4 of the UQpy, Uncertainty Quantification with Python, library. In the latest version, the code was restructured to conform with the latest Python coding conventions,…

We develop an implementation for a recently proposed Noisy Monte Carlo approach to the simulation of lattice QCD with dynamical fermions by incorporating the full fermion determinant directly. Our algorithm uses a quenched gauge field…

High Energy Physics - Lattice · Physics 2009-11-07 B. Joo , I. Horvath , K. F. Liu

Qudits offer significant advantages over qubit-based architectures, including more efficient gate compilation, reduced resource requirements, improved error-correction primitives, and enhanced capabilities for quantum communication and…

Quantum Physics · Physics 2026-03-18 Daniel J. Spencer , Andrew Tanggara , Tobias Haug , Derek Khu , Kishor Bharti

Pyqcm is a Python/C++ library that implements a few quantum cluster methods with an exact diagonalization impurity solver. Quantum cluster methods are used in the study of strongly correlated electrons to provide an approximate solution to…

Strongly Correlated Electrons · Physics 2024-01-10 Théo N. Dionne , Alexandre Foley , Moïse Rousseau , David Sénéchal

mlpy is a Python Open Source Machine Learning library built on top of NumPy/SciPy and the GNU Scientific Libraries. mlpy provides a wide range of state-of-the-art machine learning methods for supervised and unsupervised problems and it is…

Mathematical Software · Computer Science 2012-03-02 Davide Albanese , Roberto Visintainer , Stefano Merler , Samantha Riccadonna , Giuseppe Jurman , Cesare Furlanello

We introduce QUICK, a group of novel optimized CUDA kernels for the efficient inference of quantized Large Language Models (LLMs). QUICK addresses the shared memory bank-conflict problem of state-of-the-art mixed precision matrix…

Machine Learning · Computer Science 2024-02-16 Taesu Kim , Jongho Lee , Daehyun Ahn , Sarang Kim , Jiwoong Choi , Minkyu Kim , Hyungjun Kim

This paper studies a generalization of hyperinterpolation over the high-dimensional unit cube. Hyperinterpolation of degree \( m \) serves as a discrete approximation of the \( L_2 \)-orthogonal projection of the same degree, using Fourier…

Numerical Analysis · Mathematics 2025-07-08 Congpei An , Mou Cai , Takashi Goda

The pivoted QLP decomposition is computed through two consecutive pivoted QR decompositions, and provides an approximation to the singular value decomposition. This work is concerned with a partial QLP decomposition of low-rank matrices…

Numerical Analysis · Mathematics 2023-07-06 Maboud F. Kaloorazi , Kai Liu , Jie Chen , Rodrigo C. de Lamare , Susanto Rahardja

Fault-tolerant quantum computation critically depends on architectures uniting high encoding rates with physical implementability. Quantum low-density parity-check (qLDPC) codes, including bivariate bicycle (BB) codes, achieve dramatic…

Quantum Physics · Physics 2025-06-24 Yingli Yang , Guo Zhang , Ying Li

Quantum Error Correction (QEC) is an essential field of research towards the realization of large-scale quantum computers. On the theoretical side, a lot of effort is put into designing error-correcting codes that protect quantum data from…

Quantum Physics · Physics 2023-02-10 Lucas Berent , Lukas Burgholzer , Robert Wille

Distributed Quantum Computing (DQC) and Quantum Error Correction (QEC) rely on dynamic circuits that include Mid-Circuit Measurements (MCMs) and classical feedback. These operations present a major bottleneck: MCMs suffer from high error…

A key limitation of sampling algorithms for approximate inference is that it is difficult to quantify their approximation error. Widely used sampling schemes, such as sequential importance sampling with resampling and Metropolis-Hastings,…

Artificial Intelligence · Computer Science 2017-05-09 Marco F. Cusumano-Towner , Vikash K. Mansinghka

This article outlines how the quantum Monte Carlo directed loop update recently introduced can be applied to a wide class of quantum lattice models. Several models are considered: Spin-S XXZ models with longitudinal and transverse magnetic…

Statistical Mechanics · Physics 2009-11-07 Olav F. Syljuasen

Conformal prediction (CP) is a powerful statistical framework that generates prediction intervals or sets with guaranteed coverage probability. While CP algorithms have evolved beyond traditional classifiers and regressors to sophisticated…

Machine Learning · Computer Science 2026-02-02 Jianguo Huang , Jianqing Song , Xuanning Zhou , Bingyi Jing , Hongxin Wei

HMCF "Hamiltonian Monte Carlo for Fields" is a software add-on for the NIFTy "Numerical Information Field Theory" framework implementing Hamiltonian Monte Carlo (HMC) sampling in Python. HMCF as well as NIFTy are designed to address…

Data Analysis, Statistics and Probability · Physics 2018-12-04 Christoph Lienhard , Torsten A. Enßlin

In the kernel density estimation (KDE) problem one is given a kernel $K(x, y)$ and a dataset $P$ of points in a Euclidean space, and must prepare a data structure that can quickly answer density queries: given a point $q$, output a…

Data Structures and Algorithms · Computer Science 2024-01-08 Moses Charikar , Michael Kapralov , Erik Waingarten

Dataset condensation (DC) methods aim to learn a smaller synthesized dataset with informative data records to accelerate the training of machine learning models. Current distribution matching (DM) based DC methods learn a synthesized…

Machine Learning · Computer Science 2024-06-17 Wei Wei , Tom De Schepper , Kevin Mets

Reconciliation is a crucial procedure in post-processing of continuous variable quantum key distribution (CV-QKD) system, which is used to make two distant legitimate parties share identical corrected keys. The adaptive reconciliation is…

Quantum Physics · Physics 2019-09-30 Xuan Wen , Qiong Li , Haokun Mao , Yi Luo , Bingze Yan