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We introduce open-loop quantum control protocols for characterizing the spectral properties of non-Gaussian noise, applicable to both classical and quantum dephasing environments. The basic idea is to engineer a multi-dimensional frequency…

Quantum Physics · Physics 2016-04-20 Leigh M. Norris , Gerardo A. Paz-Silva , Lorenza Viola

This paper investigates generic signal shaping methods for multiple-data-stream generalized spatial modulation (GenSM) and generalized quadrature spatial modulation (GenQSM) based on the maximizing the minimum Euclidean distance (MMED)…

Signal Processing · Electrical Eng. & Systems 2019-01-29 Shuaishuai Guo , Haixia Zhang , Peng Zhang , Shuping Dang , Liang Cong , Mohamed-Slim Alouini

Generalized spatial modulation (GSM) uses $n_t$ transmit antenna elements but fewer transmit radio frequency (RF) chains, $n_{rf}$. Spatial modulation (SM) and spatial multiplexing are special cases of GSM with $n_{rf}=1$ and $n_{rf}=n_t$,…

Information Theory · Computer Science 2016-11-15 T. Lakshmi Narasimhan , P. Raviteja , A. Chockalingam

Conditional density estimation is complicated by multimodality, heteroscedasticity, and strong non-Gaussianity. Gaussian processes (GPs) provide a principled nonparametric framework with calibrated uncertainty, but standard GP regression is…

Machine Learning · Computer Science 2026-03-12 Vardaan Tekriwal , Mark D. Risser , Hengrui Luo , Marcus M. Noack

A wideband Gaussian Noise Model of the nonlinear noise power spectral density is developed for a single semiconductor optical amplifier as described by the Agrawal model. A simple, interpretable closed-form expression is obtained for the…

Optics · Physics 2026-03-16 Hartmut Hafermann

A sensor network is used for distributed joint mean and variance estimation, in a single time snapshot. Sensors observe a signal embedded in noise, which are phase modulated using a constant-modulus scheme and transmitted over a Gaussian…

Information Theory · Computer Science 2016-11-17 Mahesh K. Banavar , Cihan Tepedelenlioglu , Andreas Spanias

Most continuous-variable quantum key distribution schemes are based on the Gaussian modulation of coherent states followed by continuous quadrature detection using homodyne detectors. In all previous schemes, the Gaussian modulation has…

Quantum Physics · Physics 2016-09-06 Tobias Gehring , Christian S. Jacobsen , Ulrik L. Andersen

Different aspects of probabilistic shaping for a multi-span optical communication system are studied. First, a numerical analysis of the additive white Gaussian noise (AWGN) channel investigates the effect of using a small number of input…

Information Theory · Computer Science 2016-07-29 Tobias Fehenberger , Alex Alvarado , Georg Böcherer , Norbert Hanik

Community detection tasks have received a lot of attention across statistics, machine learning, and information theory with a large body of work concentrating on theoretical guarantees for the stochastic block model. One line of recent work…

Methodology · Statistics 2019-11-06 Heather Mathews , Vaishakhi Mayya , Alexander Volfovsky , Galen Reeves

We improve Gaussian Boson Sampling (GBS) circuits by integrating the unitary averaging (UA) protocol, previously demonstrated to protect unknown Gaussian states from phase errors [Phys. Rev. A 110, 032622]. Our work extends the…

Quantum Physics · Physics 2025-12-15 S. Nibedita Swain , Ryan J. Marshman , Alexander S. Solntsev , Timothy C. Ralph

Neural networks in general, from MLPs and CNNs to attention-based Transformers, are constructed from layers of linear combinations followed by nonlinear operations such as ReLU, Sigmoid, or Softmax. Despite their strength, these…

Machine Learning · Computer Science 2025-10-09 Weiguo Lu , Gangnan Yuan , Hong-kun Zhang , Shangyang Li

Quantum error mitigation(QEM), an error suppression strategy without the need for additional ancilla qubits for noisy intermediate-scale quantum~(NISQ) devices, presents a promising avenue for realizing quantum speedups of quantum computing…

Quantum Physics · Physics 2025-10-28 Ke Wang , Xiantao Li

We introduce a new approach for Gaussianity testing using the envelope of a signal and its coefficient of variation. The envelope of a Gaussian signal follows the Rayleigh distribution, and given that the coefficient of variation of the…

Signal Processing · Electrical Eng. & Systems 2022-10-12 Víctor Manuel Hidalgo , Juan-Carlos Letelier , Javier Díaz

Recently, a versatile limited feedback scheme based on a Gaussian mixture model (GMM) was proposed for frequency division duplex (FDD) systems. This scheme provides high flexibility regarding various system parameters and is applicable to…

Information Theory · Computer Science 2023-11-29 Nurettin Turan , Benedikt Fesl , Wolfgang Utschick

Two new asynchronous modulation techniques for molecular timing (MT) channels are proposed. One based on modulating information on the time between two consecutive releases of indistinguishable information particles, and one based on using…

Signal Processing · Electrical Eng. & Systems 2018-12-12 Nariman Farsad , Yonathan Murin , Weisi Guo , Chan-Byoung Chae , Andrew Eckford , Andrea Goldsmith

Non-Gaussian impulsive noise (IN) with memory exists in many practical applications. When it is mixed with white Gaussian noise (WGN), the resultant mixed noise will be bursty. The performance of communication systems will degrade…

Signal Processing · Electrical Eng. & Systems 2024-02-12 Tianfu Qi , Jun Wang

Asymptotic expressions of the mutual information between any discrete input and the corresponding output of the scalar additive white Gaussian noise channel are presented in the limit as the signal-to-noise ratio (SNR) tends to infinity.…

Information Theory · Computer Science 2014-04-23 Alex Alvarado , Fredrik Brannstrom , Erik Agrell , Tobias Koch

Distribution estimation for noisy data via density deconvolution is a notoriously difficult problem for typical noise distributions like Gaussian. We develop a density deconvolution estimator based on quadratic programming (QP) that can…

Methodology · Statistics 2018-12-06 Ran Yang , Daniel Apley , Jeremy Staum , David Ruppert

Quadrature amplitude modulation (QAM), deployed in billions of communication devises, exhibits a shaping-loss of $\pi \mathrm{e}/6$ ($\approx 1.53$ dB) compared to the Shannon-Hartley theorem. With inspiration gained from special (leaf,…

Information Theory · Computer Science 2017-08-25 Peter Larsson

A scheme for suppressing the correlated noise in signals transmitted over the bosonic Gaussian memory channels is proposed. This is a compromise solution rather than removing the noise completely. The scheme is based on linear optical…

Quantum Physics · Physics 2014-11-18 Ke-Xia Jiang , Shi-Quan Zhang , San-Min Ke , Heng Fan