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We determine the p->q norms of the Gaussian one-mode quantum-limited attenuator and amplifier and prove that they are achieved by Gaussian states, extending to noncommutative probability the seminal theorem "Gaussian kernels have only…

Mathematical Physics · Physics 2018-08-07 Giacomo De Palma , Dario Trevisan , Vittorio Giovannetti

We propose and experimentally demonstrate an optimal non-unity gain Gaussian scheme for partial measurement of an unknown coherent state that causes minimal disturbance of the state. The information gain and the state disturbance are…

In this work, a parametric up-converter amplifier is introduced as a wideband impedance matching network for receiving electrically small antennas. Chu's limit restricts the minimum Q-factor of unloaded small antennas; however, the…

Applied Physics · Physics 2021-01-11 Pedram Loghmannia , Majid Manteghi

We discuss the problem how to determine the quality of a nonlinear system with respect to a measurement task. Due to amplification, filtering, quantization and internal noise sources physical measurement equipment in general exhibits a…

Information Theory · Computer Science 2016-11-17 Manuel Stein , Josef A. Nossek , Kurt Barbé

The asymptotic probability density function of nonlinear phase noise, often called the Gordon-Mollenauer effect, is derived analytically when the number of fiber spans is very large. The nonlinear phase noise is the summation of infinitely…

Optics · Physics 2009-11-10 Keang-Po Ho

An experimental study of amplitude modulation and phase modulation noise spectra in cascaded amplifiers was carried out as a function of the number of amplification stages and the input power. Flicker and white noise contributions were…

Instrumentation and Detectors · Physics 2025-01-31 Inari Badillo , Joaquín Portilla

Quantum noise in a model of singly resonant frequency doubling including phase mismatch and driving in the harmonic mode is analyzed. The general formulae about the fixed points and their stability as well as the squeezing spectra…

Quantum Physics · Physics 2007-05-23 C. Cabrillo , J. L. Roldan , P. Garcia-Fernandez

Dynamical instability is an inherent feature of bosonic systems described by the Bogoliubov de Geenes (BdG) Hamiltonian. Since it causes the BdG system to collapse, it is generally thought that it should be avoided. Recently, there has been…

Quantum Gases · Physics 2021-08-23 Hong Y. Ling , Ben Kain

Speech intelligibility evaluation for hearing-impaired (HI) listeners is essential for assessing hearing aid performance, traditionally relying on listening tests or intrusive methods like HASPI. However, these methods require clean…

Sound · Computer Science 2025-09-23 Boxuan Cao , Linkai Li , Hanlin Yu , Changgeng Mo , Haoshuai Zhou , Shan Xiang Wang

Phase-insensitive optical amplifiers uniformly amplify each quadrature of an input field and are of both fundamental and technological importance. We find the quantum limit on the precision of estimating the gain of a quantum-limited…

Quantum Physics · Physics 2022-05-09 Ranjith Nair , Guo Yao Tham , Mile Gu

In this paper we consider regression problems subject to arbitrary noise in the operator or design matrix. This characterization appropriately models many physical phenomena with uncertainty in the regressors. Although the problem has been…

Computation · Statistics 2021-04-08 Richard J Clancy , Stephen Becker

Recent studies indicate that the noise characteristics of phasor measurement units (PMUs) can be more accurately described by non-Gaussian distributions. Consequently, estimation techniques based on Gaussian noise assumptions may produce…

Signal Processing · Electrical Eng. & Systems 2024-04-26 Anushka Sharma , Antos Cheeramban Varghese , Anamitra Pal

Directional amplifiers are an important resource in quantum information processing, as they protect sensitive quantum systems from excess noise. Here, we propose an implementation of phase-preserving and phase-sensitive directional…

Mesoscale and Nanoscale Physics · Physics 2018-01-09 Daniel Malz , László D. Tóth , Nathan R. Bernier , Alexey K. Feofanov , Tobias J. Kippenberg , Andreas Nunnenkamp

This paper proposes a desparsified GMM estimator for estimating high-dimensional regression models allowing for, but not requiring, many more endogenous regressors than observations. We provide finite sample upper bounds on the estimation…

Statistics Theory · Mathematics 2019-09-11 Mehmet Caner , Anders Bredahl Kock

High fidelity qubit readout is a cornerstone for quantum information protocols. In traditional superconducting qubit readout, a chain of microwave amplifiers and nonreciprocal components aid in detecting the qubit's state with tolerable…

Quantum Physics · Physics 2026-03-16 B. T. Miller , Lindsay Orr , A. Metelmann , F. Lecocq

Weak consistency and asymptotic normality of the ordinary least-squares estimator in a linear regression with adaptive learning is derived when the crucial, so-called, `gain' parameter is estimated in a first step by nonlinear least squares…

Econometrics · Economics 2023-01-11 Alexander Mayer

A divide and conquer strategy for enhancement of noisy speeches in adverse environments involving lower levels of SNR is presented in this paper, where the total system of speech enhancement is divided into two separate steps. The first…

Audio and Speech Processing · Electrical Eng. & Systems 2018-02-09 Md Tauhidul Islam , Celia Shahnaz , Wei-Ping Zhu , M. Omair Ahmad

We present a systems theory approach to the proof of a result bounding the required level of added quantum noise in a phase-insensitive quantum amplifier. We also present a synthesis procedure for constructing a quantum optical…

Systems and Control · Computer Science 2018-02-13 Ian R. Petersen , Matthew R. James , Valery Ugrinovskii , Naoki Yamamoto

Quantum-limited parametric amplifiers are essential components for many quantum technologies operating in the microwave domain. Achieving both high gain and broad bandwidth, however, remains challenging due to trade-offs between gain and…

We consider estimation of a deterministic unknown parameter vector in a linear model with non-Gaussian noise. In the Gaussian case, dimensionality reduction via a linear matched filter provides a simple low dimensional sufficient statistic…

Applications · Statistics 2013-11-05 Jakob Vovnoboy , Ami Wiesel