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We consider the processing of statistical samples $X\sim P_\theta$ by a channel $p(y|x)$, and characterize how the statistical information from the samples for estimating the parameter $\theta\in\mathbb{R}^d$ can scale with the mutual…

Information Theory · Computer Science 2021-07-12 Leighton Pate Barnes , Ayfer Ozgur

The Fisher information $F$ gives a limit to the ultimate precision achievable in a phase estimation protocol. It has been shown recently that the Fisher information for a linear two-mode interferometer cannot exceed the number of particles…

The Bayesian decision-theoretic approach to design of experiments involves specifying a design (values of all controllable variables) to maximise the expected utility function (expectation with respect to the distribution of responses and…

Statistics Theory · Mathematics 2021-09-24 Antony M. Overstall

With the progress of optical detection technology, the classical diffraction limit raised a hundred years ago has been continuously broken through. In previous experiments within fluorescence sources, one of the techniques used is detecting…

Quantum Physics · Physics 2016-07-20 Xiao Liang , Yong-Sheng Zhang

Due to the high penetrating power of cosmic ray muons, they can be used to probe very thick and dense objects. As charged particles, they can be tracked by ionization detectors, determining the position and direction of the muons. With…

Image and Video Processing · Electrical Eng. & Systems 2024-10-11 Jesus J. Valencia , Adam A. Hecht , C. L. Morris , E. Guardincerri , D. Poulson , J. Bacon , J. M. Durham

Fisher Information is a key notion in the whole field of quantum metrology. It allows for a direct quantification of maximal achievable precision of estimation of parameters encoded in quantum states using the most general quantum…

Quantum Physics · Physics 2023-04-25 Stanislaw Kurdzialek , Rafal Demkowicz-Dobrzanski

The Muon Ionization Cooling Experiment (MICE) collaboration seeks to demonstrate the feasibility of ionization cooling, the technique by which it is proposed to cool the muon beam at a future neutrino factory or muon collider. The emittance…

Accelerator Physics · Physics 2019-03-27 The MICE Collaboration , D. Adams , D. Adey , R. Asfandiyarov , G. Barber , A. de Bari , R. Bayes , V. Bayliss , R. Bertoni , V. Blackmore , A. Blondel , J. Boehm , M. Bogomilov , M. Bonesini , C. N. Booth , D. Bowring , S. Boyd , T. W. Bradshaw , A. D. Bross , C. Brown , L. Coney , G. Charnley , G. T. Chatzitheodoridis , F. Chignoli , M. Chung , D. Cline , J. H. Cobb , D. Colling , N. Collomb , P. Cooke , M. Courthold , L. M. Cremaldi , A. DeMello , A. J. Dick , A. Dobbs , P. Dornan , F. Drielsma , K. Dumbell , M. Ellis , F. Filthaut , P. Franchini , B. Freemire , A. Gallagher , R. Gamet , R. B. S. Gardener , S. Gourlay , A. Grant , J. R. Greis , S. Griffiths , P. Hanlet , G. G. Hanson , T. Hartnett , C. Heidt , P. Hodgson , C. Hunt , S. Ishimoto , D. Jokovic , P. B. Jurj , D. M. Kaplan , Y. Karadzhov , A. Klier , Y. Kuno , A. Kurup , P. Kyberd , J-B. Lagrange , J. Langlands , W. Lau , D. Li , Z. Li , A. Liu , K. Long , T. Lord , C. Macwaters , D. Maletic , B. Martlew , J. Martyniak , R. Mazza , S. Middleton , T. A. Mohayai , A. Moss , A. Muir , I. Mullacrane , J. J. Nebrensky , D. Neuffer , A. Nichols , J. C. Nugent , A. Oates , D. Orestano , E. Overton , P. Owens , V. Palladino , M. Palmer , J. Pasternak , V. Pec , C. Pidcott , M. Popovic , R. Preece , S. Prestemon , D. Rajaram , S. Ricciardi , M. Robinson , C. Rogers , K. Ronald , P. Rubinov , H. Sakamoto , D. A. Sanders , A. Sato , M. Savic , P. Snopok , P. J. Smith , F. J. P. Soler , Y. Song , T. Stanley , G. Stokes , V. Suezaki , D. J. Summers , C. K. Sung , J. Tang , J. Tarrant , I. Taylor , L. Tortora , Y. Torun , R. Tsenov , M. Tucker , M. A. Uchida , S. Virostek , G. Vankova-Kirilova , P. Warburton , S. Wilbur , A. Wilson , H. Witte , C. White , C. G. Whyte , X. Yang , A. R. Young , M. Zisman

Seasonal variations of atmospheric muons are traditionally interpreted in terms of an effective temperature that relates the atmospheric temperature profile at a given time to the dependence of muon production on atmospheric depth. This…

High Energy Astrophysical Phenomena · Physics 2024-05-17 Stef Verpoest , Dennis Soldin , Paolo Desiati

There has been considerable recent interest in the mean-field dynamics of various atom-interferometry schemes designed for precision sensing. In the field of quantum metrology, the standard tools for evaluating metrological sensitivity are…

Quantum Physics · Physics 2016-06-13 Simon A. Haine

The potentiality of an experiment measuring the muon polarization in $K^+\rightarrow\pi^0\mu^+\nu_\mu$ at a $\phi$ factory is discussed, with particular attention to the possibility of revealing unexpected violation of Time reversal…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paolo Privitera

Competition between decay and re-interaction of charged pions and kaons depends on the temperature/density profile of the upper atmosphere. The amplitude and phase of the variations depend on the minimum muon energy required to reach the…

High Energy Astrophysical Phenomena · Physics 2021-07-28 Thomas Gaisser , Stef Verpoest

Using waves to explore our environment is a widely used paradigm, ranging from seismology to radar technology, and from bio-medical imaging to precision measurements. In all of these fields, the central aim is to gather as much information…

Disordered Systems and Neural Networks · Physics 2024-09-12 Jakob Hüpfl , Felix Russo , Lukas M. Rachbauer , Dorian Bouchet , Junjie Lu , Ulrich Kuhl , Stefan Rotter

With the rapid development of quantum technologies in recent years, the need for high sensitivity measuring techniques has become a key issue. In particular, optical sensors based on quantum states of light have proven to be optimal…

Quantum Physics · Physics 2023-03-29 Laura T. Knoll , Gustavo M. Bosyk

To ensure high quality outputs, it is important to quantify the epistemic uncertainty of diffusion models. Existing methods are often unreliable because they mix epistemic and aleatoric uncertainty. We introduce a method based on Fisher…

Machine Learning · Statistics 2026-02-18 Aditi Gupta , Raphael A. Meyer , Yotam Yaniv , Elynn Chen , N. Benjamin Erichson

Usage of secondary cosmic muons to image the geological structures density distribution significantly developed during the past ten years. Recent applications demonstrate the method interest to monitor magma ascent and volcanic gas…

Muon ionization cooling provides the only practical solution to prepare high-brilliance beams necessary for a neutrino factory or muon collider. The Muon Ionization Cooling Experiment (MICE), under development at the Rutherford Appleton…

Accelerator Physics · Physics 2008-10-11 Terrence L. Hart , Daniel M. Kaplan

Measurement of the ultra-rare $K^+\to\pi^+\nu\bar\nu$ decay at the NA62 experiment at CERN requires high-performance particle identification to distinguish muons from pions. Calorimetric identification currently in use, based on a boosted…

High Energy Physics - Experiment · Physics 2023-04-26 NA62 Collaboration

This paper builds upon the methods developed in [22] and [15] to investigate the large population behavior of non exchangeable systems of N diffusive particles when the interaction matrix converges (in some sense) to a graphon. We first…

Probability · Mathematics 2026-04-14 Jules Grass

Diffusion models are effective for waypoint prediction in visual navigation, but standard sampling and test time guidance can produce unreliable or inefficient trajectories when updates drift off the training manifold. We propose Fisher…

Robotics · Computer Science 2026-05-29 Hao Ren , Zetong Bi , Yiming Zeng , Le Zheng , Zhi Li , Zhaoliang Wan , Lu Qi , Hui Cheng

We merge the dispersive relation approach and the ab initio method to compute nuclear structure corrections to the Lamb shift in muonic deuterium. We calculate the deuteron response functions and corresponding uncertainties up to…

Nuclear Theory · Physics 2021-02-05 Bijaya Acharya , Vadim Lensky , Sonia Bacca , Mikhail Gorchtein , Marc Vanderhaeghen