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Recent developments in the Symanzik improvement program for lattice QCD are reviewed.

高能物理 - 格点 · 物理学 2009-10-30 Peter Lepage

The entanglement-assisted stabilizer formalism can transform arbitrary classical linear codes into entanglement-assisted quantum error correcting codes (EAQECCs). In this work, we construct some new entanglement-assisted quantum MDS…

信息论 · 计算机科学 2019-11-20 Shixin Zhu , Wan Jiang , Xiaojing Chen

Quantum Tanner codes are a recently developed family of quantum error-correcting codes characterized by favorable asymptotic performance characteristics. Despite their theoretical potential, practical decoding algorithms that effectively…

量子物理 · 物理学 2026-05-19 Zhuo-Yan Xiao , Sha Shi , Chen-Peng Huang , Dong-Sheng Wang , Yun-Jiang Wang

This work presents a theoretical framework for enhancing quantum correlations in a hybrid double-cavity optomechanical system that hosts an atomic ensemble. We investigate the role of the coupling phase $\phi$ between cavity 1 and the…

Recent work on approximate quantum error correction (QEC) has opened up the possibility of constructing subspace codes that protect information with high fidelity in scenarios where perfect error correction is impossible. Motivated by this,…

量子物理 · 物理学 2012-07-31 Prabha Mandayam , Hui Khoon Ng

In efforts to scale the size of quantum computers, modularity plays a central role across most quantum computing technologies. In the light of fault tolerance, this necessitates designing quantum error-correcting codes that are compatible…

量子物理 · 物理学 2023-05-16 Armands Strikis , Lucas Berent

One of the commonly used chemical-inspired approaches in variational quantum computing is the unitary coupled-cluster (UCC) ansatze. Despite being a systematic way of approaching the exact limit, the number of parameters in the standard UCC…

量子物理 · 物理学 2023-06-06 Shashank G Mehendale , Bo Peng , Niranjan Govind , Yuri Alexeev

Quantum computing has been a fascinating research field in quantum physics. Recent progresses motivate us to study in depth the universal quantum computing models (UQCM), which lie at the foundation of quantum computing and have tight…

量子物理 · 物理学 2021-12-07 D. -S. Wang

In this work we present the mathematical foundation of an assembly code for finite element approximations of nonlocal models with compactly supported, weakly singular kernels. We demonstrate the code on a nonlocal diffusion model in various…

数值分析 · 数学 2022-07-11 Manuel Klar , Christian Vollmann , Volker Schulz

This paper uses the reconstruction-computation-quantization (RCQ) paradigm to decode low-density parity-check (LDPC) codes. RCQ facilitates dynamic non-uniform quantization to achieve good frame error rate (FER) performance with very low…

信号处理 · 电气工程与系统科学 2022-02-10 Linfang Wang , Caleb Terrill , Maximilian Stark , Zongwang Li , Sean Chen , Chester Hulse , Calvin Kuo , Richard Wesel , Gerhard Bauch , Rekha Pitchumani

This Mathematica 7.0/8.0 package upgrades and extends the quantum computer simulation code called QDENSITY. Use of the density matrix was emphasized in QDENSITY, although that code was also applicable to a quantum state description. In the…

量子物理 · 物理学 2015-05-27 Frank Tabakin , Bruno Julia-Diaz

Quantum error correction is a critical component for scaling up quantum computing. Given a quantum code, an optimal decoder maps the measured code violations to the most likely error that occurred, but its cost scales exponentially with the…

量子物理 · 物理学 2023-04-18 Evgenii Egorov , Roberto Bondesan , Max Welling

Machine Learning Interatomic Potentials (MLIPs) are a highly promising alternative to force-fields for molecular dynamics (MD) simulations, offering precise and rapid energy and force calculations. However, Quantum-Mechanical (QM) datasets,…

Computational fluid dynamics (CFD) is a cornerstone of classical scientific computing, and there is growing interest in whether quantum computers can accelerate such simulations. To date, the existing proposals for fault-tolerant quantum…

In this work, we propose novel families of positional encodings tailored to graph neural networks obtained with quantum computers. These encodings leverage the long-range correlations inherent in quantum systems that arise from mapping the…

Partial differential equations (PDEs) form the backbone of simulations of many natural phenomena, for example in climate modeling, material science, and even financial markets. The application of physics-informed neural networks to…

量子物理 · 物理学 2026-04-17 Nils Klement , Veronika Eyring , Mierk Schwabe

Quantum error correction (QEC) is essential for reliable quantum information processing. Targeting a particular error channel, both the encoding and the recovery channel can be optimized through a biconvex optimization to give a…

量子物理 · 物理学 2025-05-20 Xuanhui Mao , Qian Xu , Liang Jiang

In this PhD thesis, several aspects regarding maximal entanglement are analyzed. In the first chapter, Bell Inequalities are analyzed from an operational perspective as well as novel Bell inequalities are obtained together with their…

量子物理 · 物理学 2019-07-01 Alba Cervera-Lierta

We present evidence of the feasibility of using billion core approximate computers to run simple U(1) sigma models, and discuss how the approach might be extended to Lattice Quantum Chromodynamics (LQCD) models. This work is motivated by…

高能物理 - 格点 · 物理学 2020-11-02 Alexandra Bates , Joseph Bates

In this work, we design and implement VQ-LLM, an efficient fused Vector Quantization (VQ) kernel generation framework. We first introduce a software abstraction called codebook cache to optimize codebook access efficiency and support the…

分布式、并行与集群计算 · 计算机科学 2025-07-01 Zihan Liu , Xinhao Luo , Junxian Guo , Wentao Ni , Yangjie Zhou , Yue Guan , Cong Guo , Weihao Cui , Yu Feng , Minyi Guo , Yuhao Zhu , Minjia Zhang , Jingwen Leng , Chen Jin