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The employ of a noiseless linear amplifier (NLA) has been proven as a useful tool for mitigating imperfections in quantum channels. Its analysis is usually conducted within specific frameworks, for which the set of input states for a given…

Quantum Physics · Physics 2015-06-10 Rémi Blandino , Marco Barbieri , Philippe Grangier , Rosa Tualle-Brouri

A deterministic quantum amplifier inevitably adds noise to an amplified signal due to the uncertainty principle in quantum physics. We here investigate how a quantum-noise-limited amplifier can be improved by additionally employing the…

Quantum Physics · Physics 2015-06-04 Ho-Joon Kim , Su-Yong Lee , Se-Wan Ji , Hyunchul Nha

A linear transmitter with correlated Gaussian white additive and multiplicative noises and a periodic signal coupled either additively or multiplicatively is considered. The correlations have a weak destructive effect in case of the…

Statistical Mechanics · Physics 2007-05-23 P. F. Gora

In this report, we lay the foundation for amplitude noise and phase noise analysis in nonlinear devices. We build a theoretical framework that helps us to analyze extremely difficult problems which include both nonlinearity and noise of…

Systems and Control · Electrical Eng. & Systems 2024-07-17 Meysam Bahmanian

This paper deals with the parametric inference for integrated signals embedded in an additive Gaussian noise and observed at deterministic discrete instants which are not necessarily equidistant. The unknown parameter is multidimensional…

Statistics Theory · Mathematics 2019-03-18 Dominique Dehay , Khalil El Waled , Vincent Monsan

Any quantum device that amplifies coherent states of a field while preserving their phase generates noise. A nonlinear, phase-invariant amplifier may generate less noise, over a range of input field strengths, than any linear amplifier with…

Condensed Matter · Physics 2009-10-22 Dmitri Kouznetsov , Roberto Ortega , Daniel Rohrlich

We present an impedance engineered Josephson parametric amplifier capable of providing bandwidth beyond the traditional gain-bandwidth product. We achieve this by introducing a positive linear slope in the imaginary component of the input…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Tanay Roy , Suman Kundu , Madhavi Chand , A. M. Vadiraj , A. Ranadive , N. Nehra , Meghan P. Patankar , J. Aumentado , A. A. Clerk , R. Vijay

In this paper, we discuss the behavior of a linear classical parametric amplifier (PA) in the presence of white noise and give theoretical estimates of the noise spectral density based on approximate Green's functions obtained by using…

Classical Physics · Physics 2022-11-08 Adriano A. Batista , A. A. Lisboa de Souza

We experimentally demonstrate phase-insensitive linear optical amplification which preserves the idler at the output. Since our amplification operation is unitary up to small excess noise, it is reversible beyond the classical limit. The…

Quantum Physics · Physics 2011-05-25 Jun-ichi Yoshikawa , Yoshichika Miwa , Radim Filip , Akira Furusawa

Speech enhancement in hearing aids remains a difficult task in nonstationary acoustic environments, mainly because current signal processing algorithms rely on fixed, manually tuned parameters that cannot adapt in situ to different users or…

Estimation of a deterministic quantity observed in non-Gaussian additive noise is explored via order statistics approach. More specifically, we study the estimation problem when measurement noises either have positive supports or follow a…

Signal Processing · Electrical Eng. & Systems 2020-07-15 Kamiar Radnosrati , Gustaf Hendeby , Fredrik Gustafsson

The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented in a given deterministic basis by random coefficients. An extended underdetermined…

Statistics Theory · Mathematics 2014-05-06 Piero Barone , Isabella Lari

Nature sets fundamental limits regarding how accurate the amplification of analog signals may be. For instance, a linear amplifier unavoidably adds some noise which amounts to half a photon at best. While for most applications much higher…

Mesoscale and Nanoscale Physics · Physics 2019-04-15 S. Jebari , F. Blanchet , A. Grimm , D. Hazra , R. Albert , P. Joyez , D. Vion , D. Esteve , F. Portier , M. Hofheinz

The sensitivity properties of an SU(1,1) interferometer made of two cascaded parametric amplifiers, as well as of an ordinary SU(2) interferometer preceded by a squeezer and followed by an anti-squeezer, are theoretically investigated.…

Quantum Physics · Physics 2017-02-22 Mathieu Manceau , Farid Khalili , Maria Chekhova

A low-complexity model for signal quality prediction in a nonlinear fiber-optical network is developed. The model, which builds on the Gaussian noise model, takes into account the signal degradation caused by a combination of chromatic…

Optics · Physics 2015-01-07 Pontus Johannisson , Erik Agrell

Using a simple lumped-circuit model, we numerically study the dependence of the voltage gain and noise on the amplifier's parameters. Linear, quasi-linear, and nonlinear regimes are studied. We have shown that the voltage gain of the…

Superconductivity · Physics 2015-05-30 G. P. Berman , O. O. Chumak , D. I. Kamenev , D. Kinion , V. I. Tsifrinovich

We present a new quantum-limited Josephson-junction-based 3-wave-mixing parametric amplifier, the SNAIL Parametric Amplifier (SPA), which uses an array of SNAILs (Superconducting Nonlinear Asymmetric Inductive eLements) as the source of…

Quantum Physics · Physics 2018-12-21 N. E. Frattini , V. V. Sivak , A. Lingenfelter , S. Shankar , M. H. Devoret

The multivariate linear regression model with shuffled data and additive Gaussian noise arises in various correspondence estimation and matching problems. Focusing on the denoising aspect of this problem, we provide a characterization the…

Machine Learning · Statistics 2017-04-26 Ashwin Pananjady , Martin J. Wainwright , Thomas A. Courtade

The paper describes a novel parametric excitation scheme that acts as a tunable amplifier by controlling two pumping signals and two nonlinear feedback terms. By modulating the stiffness of a mechanical oscillator with a digital signal…

Applied Physics · Physics 2018-03-08 Amit Dolev , Izhak Bucher

Heisenberg uncertainty relations for current components impose constraints on the performance of linear amplifiers. Here we derive such constraints for amplifiers in which the input signal modulates a bias current in order to produce an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Gavish , B. Yurke , Y. Imry