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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

Achieving fault-tolerant quantum computation (FTQC) demands simultaneous progress in physical qubit performance and quantum error correction (QEC). This work reviews and benchmarks experimental advancements towards FTQC across leading…

Quantum Physics · Physics 2025-07-08 François-Marie Le Régent

Quantum annealing is a promising approach for solving optimization problems, but like all other quantum information processing methods, it requires error correction to ensure scalability. In this work we experimentally compare two quantum…

Quantum Physics · Physics 2016-02-03 Anurag Mishra , Tameem Albash , Daniel Lidar

As quantum computing advances toward fault-tolerant architectures, quantum error detection (QED) has emerged as a practical and scalable intermediate strategy in the transition from error mitigation to full error correction. By identifying…

This article provides a high-level overview of some recent works on the application of quasi-Monte Carlo (QMC) methods to PDEs with random coefficients. It is based on an in-depth survey of a similar title by the same authors, with an…

Numerical Analysis · Mathematics 2017-10-31 Frances Y. Kuo , Dirk Nuyens

Machine learning has emerged as a promising paradigm to study the quantum dissipative dynamics of open quantum systems. To facilitate the use of our recently published ML-based approaches for quantum dissipative dynamics, here we present an…

Chemical Physics · Physics 2024-03-19 Arif Ullah , Pavlo O. Dral

In high-energy particle collisions, charged track finding is a complex yet crucial endeavour. We propose a quantum algorithm, specifically quantum template matching, to enhance the accuracy and efficiency of track finding. Abstracting the…

High Energy Physics - Phenomenology · Physics 2025-09-03 Christopher Brown , Michael Spannowsky , Alexander Tapper , Simon Williams , Ioannis Xiotidis

The Algorithms for Lattice Fermions package provides a general code for the finite temperature auxiliary field quantum Monte Carlo algorithm. The code is engineered to be able to simulate any model that can be written in terms of sums of…

Strongly Correlated Electrons · Physics 2017-08-17 Martin Bercx , Florian Goth , Johannes S. Hofmann , Fakher F. Assaad

In the noisy intermediate scale quantum (NISQ) era, the control over the qubits is limited due to the errors caused by quantum decoherence, crosstalk, and imperfect calibration. Hence, it is necessary to reduce the size of the large-scale…

Quantum Physics · Physics 2024-09-24 Jishnu Mahmud , Shaikh Anowarul Fattah

None of the quantum computing applications imagined will ever become a reality without quantum software. Quantum programmes have, to date, been coded with ad hoc techniques. Researchers in the field of quantum software engineering are,…

Software Engineering · Computer Science 2021-03-31 Ricardo Pérez-Castillo , Luis Jiménez-Navajas , Mario Piattini

Machine learning models and their applications, such as autonomous driving systems, are becoming increasingly common and are essential components of human daily life. However, due to their sensitivity to perturbed noise, these models are…

Quantum Physics · Physics 2026-04-13 Ban Q. Tran , Chuong K. Luong , Viet Q. Nguyen , Duong M. Chu , Susan Mengel

This paper presents an efficient quadratic programming (QP) decoder via the alternating direction method of multipliers (ADMM) technique, called QP-ADMM, for binary low-density parity-check (LDPC) codes. Its main contents are as follows:…

Information Theory · Computer Science 2020-02-19 Jing Bai , Yongchao Wang , Qingjiang Shi

This study explores the use of equivariant quantum neural networks (QNN) for generating molecular force fields, focusing on the rMD17 dataset. We consider a QNN architecture based on previous research and point out shortcomings in the…

Enhancing sampling and analyzing simulations are central issues in molecular simulation. Recently, we introduced PLUMED, an open-source plug-in that provides some of the most popular molecular dynamics (MD) codes with implementations of a…

Computational Physics · Physics 2014-10-07 Gareth A. Tribello , Massimiliano Bonomi , Davide Branduardi , Carlo Camilloni , Giovanni Bussi

Entangled qubit can increase the capacity of quantum error correcting codes based on stabilizer codes. In addition, by using entanglement quantum stabilizer codes can be construct from classical linear codes that do not satisfy the…

Quantum Physics · Physics 2015-05-30 Jeonghwan Shin , Jun Heo , Todd A. Brun

Determinant quantum Monte Carlo (DQMC) is a widely used unbiased numerical method for simulating strongly correlated electron systems. However, the update process in DQMC is often a bottleneck for its efficiency. To address this issue, we…

Strongly Correlated Electrons · Physics 2025-06-06 Fanjie Sun , Xiao Yan Xu

Quantum error correcting codes (QECC) is becoming an increasingly important branch of coding theory. For classical block codes, a \href{codetables.de} {comprehensive database of best known codes} exists which is available online at…

Information Theory · Computer Science 2021-08-21 Nuh Aydin , Peihan Liu , Bryan Yoshino

This paper presents a set of quantum Reed-Muller codes which are typically 100 times more effective than existing quantum Reed-Muller codes.

Quantum Physics · Physics 2007-05-23 Lin Zhang , Ian Fuss

Significant investments have been made towards the commodification of diffusion models for generation of diverse media. Their mass-market adoption is however still hobbled by the intense hardware resource requirements of diffusion model…

Machine Learning · Computer Science 2025-06-10 Adil Hasan , Thomas Peyrin

Recent advances in language models (LMs) have driven significant progress in various software engineering tasks. However, existing LMs still struggle with complex programming scenarios due to limitations in data quality, model architecture,…

Software Engineering · Computer Science 2026-01-09 Zhao Tian
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