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This paper introduces an innovative error feedback framework designed to mitigate quantization noise in distributed graph filtering, where communications are constrained to quantized messages. It comes from error spectrum shaping techniques…

机器学习 · 计算机科学 2026-05-12 Xue Xian Zheng , Weihang Liu , Xin Lou , Stefan Vlaski , Tareq Al-Naffouri

Distributed graph filters have found applications in wireless sensor networks (WSNs) to solve distributed tasks such as consensus, signal denoising, and reconstruction. However, when employed over WSN, the graph filters should deal with the…

信号处理 · 电气工程与系统科学 2020-04-15 Leila Ben Saad , Baltasar Beferull-Lozano , Elvin Isufi

Distributed graph signal processing algorithms require the network nodes to communicate by exchanging messages in order to achieve a common objective. These messages have a finite precision in realistic networks, which may necessitate to…

信号处理 · 电气工程与系统科学 2019-09-30 Isabela Cunha Maia Nobre , Pascal Frossard

Graph filters play a key role in processing the graph spectra of signals supported on the vertices of a graph. However, despite their widespread use, graph filters have been analyzed only in the deterministic setting, ignoring the impact of…

系统与控制 · 计算机科学 2017-09-18 Elvin Isufi , Andreas Loukas , Andrea Simonetto , Geert Leus

Noise shaping refers to an analog-to-digital conversion methodology in which quantization error is arranged to lie mostly outside the signal spectrum by means of oversampling and feedback. Recently it has been successfully applied to more…

信息论 · 计算机科学 2015-02-23 Evan Chou , C. Sinan Güntürk , Felix Krahmer , Rayan Saab , Özgür Yılmaz

We study the quantization of real-valued bandlimited signals on graphs, focusing on low-bit representations. We propose iterative noise-shaping algorithms for quantization, including sampling approaches with and without vertex replacement.…

信号处理 · 电气工程与系统科学 2026-01-27 Felix Krahmer , He Lyu , Rayan Saab , Jinna Qian , Anna Veselovska , Rongrong Wang

In the field of signal processing on graphs, graph filters play a crucial role in processing the spectrum of graph signals. This paper proposes two different strategies for designing autoregressive moving average (ARMA) graph filters on…

信号处理 · 电气工程与系统科学 2018-07-02 Jiani Liu , Elvin Isufi , Geert Leus

We propose the use of low bit-depth Sigma-Delta and distributed noise-shaping methods for quantizing the Random Fourier features (RFFs) associated with shift-invariant kernels. We prove that our quantized RFFs -- even in the case of $1$-bit…

机器学习 · 计算机科学 2022-04-14 Jinjie Zhang , Harish Kannan , Alexander Cloninger , Rayan Saab

Quantum error mitigation (QEM) provides a practical route for estimating reliable observables on noisy intermediate-scale quantum (NISQ) devices. Traditional QEM strategies, including zero-noise extrapolation (ZNE) and Clifford data…

量子物理 · 物理学 2026-04-21 Huaxin Wang , Xinge Wu , Jiajun Liu , Ruiqing He , Jiandong Shang , Hengliang Guo , Qiang Chen

Quantization has become a predominant approach for model compression, enabling deployment of large models trained on GPUs onto smaller form-factor devices for inference. Quantization-aware training (QAT) optimizes model parameters with…

机器学习 · 计算机科学 2022-12-13 Zheng Wang , Juncheng B Li , Shuhui Qu , Florian Metze , Emma Strubell

Quantum neural networks (QNNs) use parameterized quantum circuits with data-dependent inputs and generate outputs through the evaluation of expectation values. Calculating these expectation values necessitates repeated circuit evaluations,…

量子物理 · 物理学 2024-06-26 David A. Kreplin , Marco Roth

Graph states are entangled states useful for several quantum information processing tasks such as measurement-based quantum computation and quantum metrology. As the size of graph states realized in experiments increases, it becomes more…

量子物理 · 物理学 2023-09-18 Tomonori Tanizawa , Yuki Takeuchi , Shion Yamashika , Ryosuke Yoshii , Shunji Tsuchiya

Noise remains a fundamental challenge in quantum computing, significantly affecting pulse fidelity and overall circuit performance. This paper introduces an adaptive algorithm for pulse-level quantum error mitigation, designed to enhance…

量子物理 · 物理学 2025-01-27 William Aguilar-Calvo , Santiago Núñez-Corrales

We introduce the concept of autoregressive moving average (ARMA) filters on a graph and show how they can be implemented in a distributed fashion. Our graph filter design philosophy is independent of the particular graph, meaning that the…

社会与信息网络 · 计算机科学 2015-09-02 Andreas Loukas , Andrea Simonetto , Geert Leus

This paper introduces a new algorithm for the so-called "Analysis Problem" in quantization of finite frame representations which provides a near-optimal solution in the case of random measurements. The main contributions include the…

信息论 · 计算机科学 2016-05-09 Evan Chou , Sinan Güntürk

We investigate the effects of noise on parameterised quantum circuits using spectral analysis and classical signal processing tools. For different noise models, we quantify the additional, higher frequency modes in the output signal caused…

量子物理 · 物理学 2022-11-11 Enrico Fontana , Ivan Rungger , Ross Duncan , Cristina Cîrstoiu

Quantum Error Mitigation (QEM) enables the extraction of high-quality results from the presently-available noisy quantum computers. In this approach, the effect of the noise on observables of interest can be mitigated using multiple…

量子物理 · 物理学 2023-11-23 Ivan Henao , Jader P. Santos , Raam Uzdin

Quantum metrology with entangled resources aims to achieve sensitivity beyond the standard quantum limit by harnessing quantum effects even in the presence of environmental noise. So far, sensitivity has been mainly discussed from the…

量子物理 · 物理学 2022-12-20 Kaoru Yamamoto , Suguru Endo , Hideaki Hakoshima , Yuichiro Matsuzaki , Yuuki Tokunaga

We address the standard quantum error correction using the three-qubit bit-flip code, yet in continuous-time. This entails rendering a target manifold of quantum states globally attractive. Previous feedback designs could feature spurious…

量子物理 · 物理学 2019-06-18 Gerardo Cardona , Alain Sarlette , Pierre Rouchon

Quantum Error Mitigation is essential for enhancing the reliability of quantum computing experiments. The adaptive KIK error mitigation method has demonstrated significant advantages, including resilience to temporal noise drifts,…

量子物理 · 物理学 2026-03-10 Ben Bar , Jader P. Santos , Raam Uzdin
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