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Digital pulse width modulation has been considered for high-fidelity and high-efficiency audio amplifiers for several years. It has been shown that the distortion can be reduced and the implementation of the system can be simplified if the…

Sound · Computer Science 2010-03-15 Kien C. Nguyen , Dilip V. Sarwate

Characterization and suppression of noise are essential for the control of harmonic oscillators in the quantum regime. We measure the noise spectrum of a quantum harmonic oscillator from low frequency to near the oscillator resonance by…

We consider quantum metrology in noisy environments, where the effect of noise and decoherence limits the achievable gain in precision by quantum entanglement. We show that by using tools from quantum error-correction this limitation can be…

Quantum Physics · Physics 2014-03-12 W. Dür , M. Skotiniotis , F. Fröwis , B. Kraus

The latest theoretical advances in the field of unlimited sampling framework (USF) show the potential to avoid clipping problems of analog-to-digital converters (ADC). To date, most of the related works have focused on real-valued modulo…

Signal Processing · Electrical Eng. & Systems 2020-12-01 Yan He , Jifang Qiu , Chang Liu , Yue Liu , Jian Wu

This letter generalizes noise modulation by introducing two voltage biases and employing non-Gaussian noise distributions, such as Mixture of Gaussian (MoG) and Laplacian, in addition to traditional Gaussian noise. The proposed framework…

Signal Processing · Electrical Eng. & Systems 2025-09-16 Hadi Zayyani , Mohammad Salman , Felipe A. P. de Figueiredo , Rausley A. A. de Souza

Random pulse sequences are a powerful method for qubit noise spectroscopy, enabling efficient reconstruction of sparse noise spectra. Here, we advance this method in two complementary directions. First, we extend the method using a…

Quantum Physics · Physics 2026-01-07 Kaixin Huang , Demitry Farfurnik , Dror Baron , Yi-Kai Liu

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…

Machine Learning · Computer Science 2026-05-12 Xue Xian Zheng , Weihang Liu , Xin Lou , Stefan Vlaski , Tareq Al-Naffouri

Quantization is an essential step in digitizing signals, and, therefore, an indispensable component of any modern acquisition system. This book chapter explores the interaction of quantization and compressive sensing and examines practical…

Information Theory · Computer Science 2014-11-26 Petros T. Boufounos , Laurent Jacques , Felix Krahmer , Rayan Saab

Deep learning-based autoencoders have been employed to compress and reconstruct channel state information (CSI) in frequency-division duplex systems. Practical implementations require judicious quantization of encoder outputs for digital…

Signal Processing · Electrical Eng. & Systems 2025-03-12 Manru Yin , Shengqian Han , Chenyang Yang

We present a set of methods to generate less complex error channels by quantum circuit parallelisation. The resulting errors are simplified as a consequence of their symmetrisation and randomisation. Initially, the case of a single error…

Quantum Physics · Physics 2023-05-26 James Mills , Debasis Sadhukhan , Elham Kashefi

A nonparametric method is proposed for estimating the quantile spectra and cross-spectra introduced in Li (2012; 2014) as bivariate functions of frequency and quantile level. The method is based on the quantile discrete Fourier transform…

Methodology · Statistics 2026-03-26 Ta-Hsin Li

The performance of quantum error correction can be significantly improved if detailed information about the noise is available, allowing to optimize both codes and decoders. It has been proposed to estimate error rates from the syndrome…

Quantum Physics · Physics 2022-09-21 Thomas Wagner , Hermann Kampermann , Dagmar Bruß , Martin Kliesch

Quantum error correction assisted by entanglement helps to transmit the encoded qudits through quantum channels with some of them being noiseless. Here we consider a more realistic scheme for experiments what we called as partial-noisy…

Quantum Physics · Physics 2012-09-03 Zhuo Wang , Sixia Yu , Heng Fan , C. H. Oh

We calculate the noise spectrum of the output signal of a quantum detector during continuous measurement of a two-level system (qubit). We generalize the previous results obtained for the regime of high voltages (when $eV$ is much larger…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Shnirman , D. Mozyrsky , I. Martin

Diffusion models have achieved cutting-edge performance in image generation. However, their lengthy denoising process and computationally intensive score estimation network impede their scalability in low-latency and resource-constrained…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Qian Zeng , Jie Song , Han Zheng , Hao Jiang , Mingli Song

We show how to achieve full spectral characterization of general multiaxis additive noise. Our pulsed spectral estimation technique is based on sequence repetition and frequency-comb sampling and is applicable even to models where a large…

Quantum Physics · Physics 2019-11-06 Gerardo A. Paz-Silva , Leigh M. Norris , Félix Beaudoin , Lorenza Viola

Incoherence in the controlled Hamiltonian is an important limitation on the precision of coherent control in quantum information processing. Incoherence can typically be modelled as a distribution of unitary processes arising from slowly…

Quantum Physics · Physics 2009-11-10 N. Boulant , S. Furuta , J. Emerson , T. F. Havel , D. G. Cory

We present a time-domain method to detect and correct spectral alterations of signals by employing statistical characterization of waveforms and a pattern-recognition procedure using simple Artificial Neural Networks. The proposed strategy…

Signal Processing · Electrical Eng. & Systems 2022-12-29 Guillermo H. Bustos , Héctor H. Segnorile

Quantum error correction allows to actively correct errors occurring in a quantum computation when the noise is weak enough. To make this error correction competitive information about the specific noise is required. Traditionally, this…

Quantum Physics · Physics 2021-04-07 Thomas Wagner , Hermann Kampermann , Dagmar Bruß , Martin Kliesch

In quantum information processing quantum operations are often processed alongside measurements which result in classical data. Due to the information gain of classical measurement outputs non-unitary dynamical processes can take place on…