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A new method for examining the possible space-time variation of the fine structure constant ($\alpha$) is proposed. The technique uses a relatively simple measurement with an optical resonator to compare atom-stabilized optical frequency…

Atomic Physics · Physics 2007-05-23 J. R. Torgerson

The quantum variables that can be accessed directly by experiments are described by observables. Therefore, physical parameters can only be evaluated indirectly, via estimations based on experimental measurement results. I show that the…

Quantum Physics · Physics 2012-12-12 B. M. Escher

We describe a scalable stochastic method for the experimental measurement of generalized fidelities characterizing the accuracy of the implementation of a coherent quantum transformation. The method is based on the motion reversal of random…

Quantum Physics · Physics 2009-11-11 Joseph Emerson , Robert Alicki , Karol Zyczkowski

According to the Heisenberg uncertainty principle, the energy or frequency uncertainty of a measurement can be at the best inversely proportional to the observation time ($T$). The observation time in an experiment using a quantum…

Quantum Physics · Physics 2020-02-13 Tarun Dutta , Manas Mukherjee

Stochastic Optimal Control (SOC) typically considers noise only in the process model, i.e. unknown disturbances. However, in many robotic applications involving interaction with the environment, such as locomotion and manipulation,…

Systems and Control · Computer Science 2021-06-08 Brahayam Ponton , Stefan Schaal , Ludovic Righetti

We analyze an efficient frequency estimation scheme that is applied to measure the unknown frequency of an atomic state in Ramsey spectroscopy. The scheme is employing appropriate combinations of uncorrelated probe atoms and…

Quantum Physics · Physics 2015-07-02 Changhun Oh , Wonmin Son

A system's internal dynamics and its interaction with the environment can be determined by tracking how external perturbations affect its transition rates between states. Quantitative measurements of these rates are crucial for optimizing…

Interferometers (e.g. ALMA and NOEMA) allow us to obtain the detailed brightness distribution of astronomical sources in 3 dimensions (R.A., Dec., frequency). However, the spatial correlation of the noise makes it difficult to evaluate the…

Instrumentation and Methods for Astrophysics · Physics 2023-02-21 Takafumi Tsukui , Satoru Iguchi , Ikki Mitsuhashi , Kenichi Tadaki

Herein, we present a detailed analysis of an eigenvalue based sensing technique in the presence of correlated noise in the context of a Cognitive Radio (CR). We use a Standard Condition Number (SCN) based decision statistic based on…

Information Theory · Computer Science 2012-10-24 Shree Krishna Sharma , Symeon Chatzinotas , Björn Ottersten

This paper proposes a novel, highly effective spectrum sensing algorithm for cognitive radio and whitespace applications. The proposed spectral covariance sensing (SCS) algorithm exploits the different statistical correlations of the…

Networking and Internet Architecture · Computer Science 2010-05-07 Jaeweon Kim , Jeffrey G. Andrews

Spectrum Sensing (SS) constitutes the most critical task i n Cognitive Radio (CR) systems for Primary User (PU) detection. Cooperative Spectrum Sensing (CSS) is introduced to enhance the detection reliability of the PU in fading…

Information Theory · Computer Science 2015-05-22 Hossam M. Farag , Ehab Mahmoud Mohamed

It is important to know noise levels of boson sampling in order to cautiously demonstrate the quantum computational advantage or realize certain tasks. Based on those statistical benchmark methods such as the correlators and clouds, which…

Quantum Physics · Physics 2026-05-21 Yang Ji , Yongjin Ye , Qiao Wang , Shi Wang , Jie Hou , Yongzheng Wu , Zijian Wang , Bo Jiang

This article presents an algorithm for reducing measurement uncertainty of one physical quantity when given oversampled measurements of two physical quantities with correlated noise. The algorithm assumes that the aleatoric measurement…

Signal Processing · Electrical Eng. & Systems 2021-11-30 James T. Meech , Phillip Stanley-Marbell

Accurate prediction of molecular vibrational frequencies is important to identify spectroscopic signatures and reaction thermodynamics. In this work, we develop a method to quantify uncertainty associated with density functional theory…

Chemical Physics · Physics 2019-03-13 Holden L. Parks , Alan. J. H. McGaughey , Venkatasubramanian Viswanathan

We report high-precision frequency ratio measurements between optical atomic clocks based on $^{27}$Al$^+$, $^{171}$Yb, and $^{87}$Sr. With total fractional uncertainties at or below $3.2 \times 10^{-18}$, these measurements meet an…

The problem of continuous quantum measurement of coherent oscillations in an individual quantum two-state system is studied for a generic model of the measuring device. It is shown that for a symmetric detector, the signal-to-noise ratio of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. V. Averin

Improvements of the systematic uncertainty, frequency instability, and long-term reliability of the two caesium fountain primary frequency standards CSF1 and CSF2 at PTB (Physikalisch-Technische Bundesanstalt) are described. We have further…

Atomic Physics · Physics 2018-10-22 S. Weyers , V. Gerginov , M. Kazda , J. Rahm , B. Lipphardt , G. Dobrev , K. Gibble

Ramsey interferometry is a widely used tool for precisely measuring transition frequencies between two energy levels of a quantum system, with applications in time-keeping, precision spectroscopy, quantum optics, and quantum information.…

Quantum Physics · Physics 2023-02-21 H. Hainzer , D. Kiesenhofer , T. Ollikainen , M. Bock , F. Kranzl , M. K. Joshi , G. Yoeli , R. Blatt , T. Gefen , C. F. Roos

We propose a theoretical scheme to enhance the signal-to-noise ratio in ultrasensitive detection with the help of quantum correlation. By introducing the auxiliary oscillator and treated as an added probe for weak field detection, the…

Quantum Physics · Physics 2019-06-12 Wen-Zhao Zhang , Li-Bo Chen , Jiong Cheng , Yun-Feng Jiang

Atomic projection noise limits the ultimate precision of all atomic sensors, including clocks, inertial sensors, magnetometers, etc. The independent quantum collapse of $N$ atoms into a definite state (for example spin up or down) leads to…

Atomic Physics · Physics 2015-04-21 Kevin C. Cox , Joshua M. Weiner , Graham P. Greve , James K. Thompson
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