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Consider a 2-D square array of qubits of extent $L\times L$. We provide a proof that the minimum weight perfect matching problem associated with running a particular class of topological quantum error correction codes on this array can be…

量子物理 · 物理学 2014-10-13 Austin G. Fowler

Vector quantization is a fundamental operation for data compression and vector search. To obtain high accuracy, multi-codebook methods represent each vector using codewords across several codebooks. Residual quantization (RQ) is one such…

机器学习 · 计算机科学 2024-05-22 Iris A. M. Huijben , Matthijs Douze , Matthew Muckley , Ruud J. G. van Sloun , Jakob Verbeek

Enforcing universal symmetries in machine learning (ML) models is a common strategy to mitigate data scarcity. We show that exploiting exact, as well as approximate, label symmetries can benefit scaling laws. We illustrate the idea for the…

化学物理 · 物理学 2026-05-28 Scott Y. H. Kim , Mathis Lechaume-Robert , O. Anatole von Lilienfeld

We introduce LOT Wassmap, a computationally feasible algorithm to uncover low-dimensional structures in the Wasserstein space. The algorithm is motivated by the observation that many datasets are naturally interpreted as probability…

机器学习 · 计算机科学 2023-02-16 Alexander Cloninger , Keaton Hamm , Varun Khurana , Caroline Moosmüller

As large language models become standard backends for content generation, practical provenance increasingly requires multi-bit watermarking. In provider-internal deployments, a key requirement is message symmetry: the message itself should…

计算与语言 · 计算机科学 2026-04-16 Junlin Zhu , Baizhou Huang , Xiaojun Wan

Fault-tolerant quantum computing relies on Quantum Error Correction, which encodes logical qubits into data and parity qubits. Error decoding is the process of translating the measured parity bits into types and locations of errors. To…

量子物理 · 物理学 2024-04-05 Narges Alavisamani , Suhas Vittal , Ramin Ayanzadeh , Poulami Das , Moinuddin Qureshi

Quantum computing has recently exhibited great potentials in predicting chemical properties for various applications in drug discovery, material design, and catalyst optimization. Progress has been made in simulating small molecules, such…

The deployment of large language models (LLMs) is frequently hindered by prohibitive memory and computational requirements. While quantization mitigates these bottlenecks, maintaining model fidelity in the sub-1-bit regime remains a…

机器学习 · 计算机科学 2026-02-06 Banseok Lee , Dongkyu Kim , Youngcheon You , Youngmin Kim

Fidelity is a fundamental measure for the closeness of two quantum states, which is important both from a theoretical and a practical point of view. Yet, in general, it is difficult to give good estimates of fidelity, especially when one…

量子物理 · 物理学 2022-03-31 András Gilyén , Alexander Poremba

Vector Quantization (VQ) techniques face significant challenges in codebook utilization, limiting reconstruction fidelity in image modeling. We introduce a Dual Codebook mechanism that effectively addresses this limitation by partitioning…

To bridge the ever increasing gap between deep neural networks' complexity and hardware capability, network quantization has attracted more and more research attention. The latest trend of mixed precision quantization takes advantage of…

机器学习 · 计算机科学 2025-10-28 Yuexiao Ma , Taisong Jin , Xiawu Zheng , Yan Wang , Huixia Li , Yongjian Wu , Guannan Jiang , Wei Zhang , Rongrong Ji

Quantization has been proven to be an effective method for reducing the computing and/or storage cost of DNNs. However, the trade-off between the quantization bitwidth and final accuracy is complex and non-convex, which makes it difficult…

计算机视觉与模式识别 · 计算机科学 2020-06-11 Cheng Gong , Yao Chen , Ye Lu , Tao Li , Cong Hao , Deming Chen

We present a novel approach to selective model quantization that transcends the limitations of architecture-specific and size-dependent compression methods for Large Language Models (LLMs) using Entropy-Weighted Quantization (EWQ). By…

Quantization is a widely-used compression technology to reduce the overhead of serving large language models (LLMs) on terminal devices and in cloud data centers. However, prevalent quantization methods, such as 8-bit weight-activation or…

硬件体系结构 · 计算机科学 2024-10-17 Lian Liu , Haimeng Ren , Long Cheng , Zhaohui Xu , Yudong Pan , Mengdi Wang , Xiaowei Li , Yinhe Han , Ying Wang

Weight quantization effectively reduces memory consumption and enable the deployment of Large Language Models on edge devices, yet existing hardware-friendly methods often rely on uniform quantization, which suffers from poor…

机器学习 · 计算机科学 2026-02-03 Xin Nie , Liang Dong , Haicheng Zhang , Jiawang Xiao , G. Sun

It is imperative that useful quantum computers be very difficult to simulate classically; otherwise classical computers could be used for the applications envisioned for the quantum ones. Perfect quantum computers are unarguably…

量子物理 · 物理学 2020-11-26 Yiqing Zhou , E. Miles Stoudenmire , Xavier Waintal

Text-to-image diffusion models have emerged as a powerful framework for high-quality image generation given textual prompts. Their success has driven the rapid development of production-grade diffusion models that consistently increase in…

计算机视觉与模式识别 · 计算机科学 2024-09-04 Vage Egiazarian , Denis Kuznedelev , Anton Voronov , Ruslan Svirschevski , Michael Goin , Daniil Pavlov , Dan Alistarh , Dmitry Baranchuk

We propose a general and systematic strategy to compile arbitrary quantum channels without using ancillary qubits, based on proximal policy optimization -- a powerful deep reinforcement learning algorithm. We rigorously prove that, in sharp…

量子物理 · 物理学 2023-02-08 Weiyuan Gong , Si Jiang , Dong-Ling Deng

Quantization methods reduce the number of bits required to represent each parameter in a model, trading accuracy for smaller memory footprints and inference latencies. However, the final model size depends on both the number of parameters…

机器学习 · 计算机科学 2023-03-01 Tim Dettmers , Luke Zettlemoyer

We present a comprehensive and self-contained simplified review of the quantum computing scheme of Phys. Rev. Lett. 98, 190504 (2007), which features a 2-D nearest neighbor coupled lattice of qubits, a threshold error rate approaching 1%,…

量子物理 · 物理学 2015-03-13 Austin G. Fowler , Ashley M. Stephens , Peter Groszkowski