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In modern transistor based logic gates, the impact of noise on computation has become increasingly relevant since the voltage scaling strategy, aimed at decreasing the dissipated power, has increased the probability of error due to the…

Hardware Architecture · Computer Science 2007-12-10 Luca Gammaitoni

Quantum noise with exchange and tunneling is studied within time-dependent wave packets. A novel expression for the quantum noise of two identical particles injected simultaneously from opposite sides of a tunneling barrier is presented.…

Quantum Physics · Physics 2016-06-22 Enrique Colomés , Damiano Marian , Xavier Oriols

In this paper, we study equations with nonlinearity in the form of a double-well potential, randomised by a velocity-switching (telegraph) stochastic process. If the speed parameters of the randomisation are small, then this dynamics has…

Probability · Mathematics 2025-09-23 Nikita Ratanov

We develop a computational procedure to estimate the covariance hyperparameters for semiparametric Gaussian process regression models with additive noise. Namely, the presented method can be used to efficiently estimate the variance of the…

Machine Learning · Computer Science 2022-06-22 Siavash Ameli , Shawn C. Shadden

Simple analytically solvable models are proposed exhibiting 1/f spectrum in wide range of frequency. The signals of the models consist of pulses (point process) which interevent times fluctuate about some average value, obeying an…

Statistical Mechanics · Physics 2007-05-23 B. Kaulakys , T. Meskauskas

Probability distributions which emerge from the formalism of nonextensive statistical mechanics have been applied to a variety of problems. In this paper we unite modeling of such distributions with the model of widespread 1/f noise. We…

Statistical Mechanics · Physics 2015-06-03 J. Ruseckas , B. Kaulakys

The problem of clock offset estimation in a two-way timing exchange regime is considered when the likelihood function of the observation time stamps is exponentially distributed. In order to capture the imperfections in node oscillators,…

Information Theory · Computer Science 2012-02-02 Aitzaz Ahmad , Davide Zennaro , Erchin Serpedin , Lorenzo Vangelista

A general physical model is presented for 1/f noise. The main questions raised by this type of noise can be solved if at the origin of the phenomenon we consider many similar like RTN two-state processes in co-operation among them to…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Giovanni Zanella

Understanding fault-tolerant properties of quantum circuits is important for the design of large-scale quantum information processors. In particular, simulating properties of encoded circuits is a crucial tool for investigating the…

Quantum Physics · Physics 2014-11-19 Easwar Magesan , Daniel Puzzuoli , Christopher E. Granade , David G. Cory

Superconducting quantum computing is experiencing a tremendous growth. Although major milestones have already been achieved, useful quantum-computing applications are hindered by a variety of decoherence phenomena. Decoherence due to…

Quantum Physics · Physics 2022-10-21 J. H. Béjanin , Y. Ayadi , X. Xu , C. Zhu , H. R. Mohebbi , M. Mariantoni

Joint Gaussian measurements of two quantum systems can be used for quantum communication between remote parties, as in teleportation or entanglement swapping protocols. Many types of physical error sources throughout a protocol can be…

Quantum Physics · Physics 2023-10-03 Alex Kwiatkowski , Ezad Shojaee , Sristy Agrawal , Akira Kyle , Curtis Rau , Scott Glancy , Emanuel Knill

We demonstrate experimentally a scheme to measure small temporal delays, much smaller than the pulse width, between optical pulses. Specifically, we observe an interference effect, based on the concepts of quantum weak measurements and weak…

We examine the one-sided and two-sided (bilateral) projections of an element of fractional Gaussian noise onto its neighboring elements. We establish several analytical results and conduct a numerical study to analyze the behavior of the…

Probability · Mathematics 2024-08-20 Iryna Bodnarchuk , Yuliya Mishura , Kostiantyn Ralchenko

In this paper it is demonstrated that 1/f power spectrum appears in the process originated by the superposition of many single-sided random telegraph signals (RTS or RTN) with the same amplitude, probability and relaxation time. Indeed, the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Giovanni Zanella

We show two universal, Boolean, deterministic logic schemes based on binary noise timefunctions that can be realized without time-averaging units. The first scheme is based on a new bipolar random telegraph wave scheme and the second one…

Other Computer Science · Computer Science 2010-10-27 Laszlo B. Kish , Sunil Khatri , Ferdinand Peper

The qubit (or a system of two quantum dots) has become a standard paradigm for studying quantum information processes. Our focus is Decoherence due to interaction of the qubit with its environment, leading to noise. We consider quantum…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Ebad Kamil , Sushanta Dattagupta

In the recent paper Terhal and Burkard derived a threshold result for fault-tolerant quantum computation under the assumption of the non-Markovian noise and claimed to rebut the objections rised by Alicki and Horodecki's. The purpose of…

Quantum Physics · Physics 2007-05-23 Robert Alicki

We study a two-level quantum dot embedded in a phonon bath and irradiated by a time-dependent ac field and develope a method that allows us to extract simultaneously the full counting statistics of the electronic tunneling and relaxation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rafael Sánchez , Gloria Platero , Tobias Brandes

We analyze the power spectral density of a signal composed of nonoverlapping rectangular pulses. First, we derive a general formula for the power spectral density of a signal constructed from the sequence of nonoverlapping pulses. Then we…

Statistical Mechanics · Physics 2023-03-15 Aleksejus Kononovicius , Bronislovas Kaulakys

We consider the problem of estimating a Fourier-sparse signal from noisy samples, where the sampling is done over some interval $[0, T]$ and the frequencies can be "off-grid". Previous methods for this problem required the gap between…

Data Structures and Algorithms · Computer Science 2016-09-07 Xue Chen , Daniel M. Kane , Eric Price , Zhao Song