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We revisit the classification of polarization observables of the cosmic microwave background. There exists a unified approach to the $3 \times 3$ density matrix by which intensity, linear and circular polarization are treated on an equal…

Astrophysics · Physics 2007-05-23 John P. Ralston , Pankaj Jain

Classical polarimetry is a well-established discipline with diverse applications across different branches of science. The burgeoning interest in leveraging quantum resources to achieve highly sensitive measurements has spurred researchers…

Quantum Physics · Physics 2025-01-30 Ali Pedram , Vira R. Besaga , Lea Gassab , Frank Setzpfandt , Özgür E. Müstecaplıoğlu

The increasing availability of sensing techniques provides a great opportunity for engineers to design state estimation methods, which are optimal for the system under observation and the observed noise patterns. However, these patterns…

Systems and Control · Electrical Eng. & Systems 2023-06-19 Jean-Sébastien Brouillon , Florian Dörfler , Giancarlo Ferrari-Trecate

We present a set of methods to generate less complex error channels by quantum circuit parallelisation. The resulting errors are simplified as a consequence of their symmetrisation and randomisation. Initially, the case of a single error…

Quantum Physics · Physics 2023-05-26 James Mills , Debasis Sadhukhan , Elham Kashefi

The Polarisation Sky Survey of the Universe's Magnetism (POSSUM) will conduct a sensitive $\sim$1 GHz radio polarization survey covering 20 000 square degrees of the Southern sky with the Australian Square Kilometre Array Pathfinder…

Detection of millikelvin-level signals from the 'Cosmic Dawn' requires an unprecedented level of sensitivity and systematic calibration. We report the theory behind a novel calibration algorithm developed from the formalism introduced by…

Instrumentation and Methods for Astrophysics · Physics 2022-09-15 I. L. V. Roque , W. J. Handley , N. Razavi-Ghods

We address the problem of signal denoising via transform-domain shrinkage based on a novel $\textit{risk}$ criterion called the minimum probability of error (MPE), which measures the probability that the estimated parameter lies outside an…

Applications · Statistics 2020-02-19 Jishnu Sadasivan , Subhadip Mukherjee , Chandra Sekhar Seelamantula

One of the difficulties with performing polarization analysis is that the mean polarization fraction of sub-divided data sets is larger than the polarization fraction for the integrated measurement. The resulting bias is one of the…

Instrumentation and Methods for Astrophysics · Physics 2018-07-18 Victor Mikhalev

The synchrotron radiation is commonly known to be completely linearly polarized when observed in the orbital plane of the synchrotron motion. Under actual experimental conditions, however, the degree of polarization of the synchrotron…

Atomic Physics · Physics 2018-11-09 A. Surzhykov , V. A. Yerokhin , S. Fritzsche , A. V. Volotka

The prospects for accomplishing x-ray polarization measurements of astronomical sources have grown in recent years, after a hiatus of more than 37 years. Unfortunately, accompanying this long hiatus has been some confusion over the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 Ronald F. Elsner , Stephen L. O'Dell , Martin C. Weisskopf

Output uncertainty indicates whether the probabilistic properties reflect objective characteristics of the model output. Unlike most loss functions and metrics in machine learning, uncertainty pertains to individual samples, but validating…

Machine Learning · Computer Science 2024-12-23 Siyuan Zhang , Linbo Xie

Here we characterized an information measure for cell polarity that applies to non-motile cells responding to a chemical gradient. The central idea is that polarization represents information about the direction of the gradient. We applied…

Cell Behavior · Quantitative Biology 2025-04-14 Tau-Mu Yi

We compiled a catalog of Faraday rotation measures (RMs) for 4553 extragalactic radio point sources ublished in literature. These RMs were derived from multi-frequency polarization observations. The RM data are compared to those in the NRAO…

Astrophysics of Galaxies · Physics 2014-07-30 J. Xu , J. L. Han

The min-sum approximation is widely used in the decoding of polar codes. Although it is a numerical approximation, hardly any penalties are incurred in practice. We give a theoretical justification for this. We consider the common case of a…

Information Theory · Computer Science 2025-03-04 Nir Chisnevski , Ido Tal , Shlomo Shamai

State-of-the-art polarimeter calibration is reviewed. Producing many quasi-random polarization states and moving/bending a fiber without changing power allows finding a polarimeter calibration where the degree-of-polarization reaches unity…

Optics · Physics 2022-07-05 Reinhold Noe , Benjamin Koch

State estimation or filtering serves as a fundamental task to enable intelligent decision-making in applications such as autonomous vehicles, robotics, healthcare monitoring, smart grids, intelligent transportation, and predictive…

Machine Learning · Computer Science 2025-06-16 Aamir Hussain Chughtai

Our goal is to test the feasibility to obtain accurate measurements of the continuum polarization from high-resolution spectra using the spectropolarimetric mode of ESPaDOnS. We used the new pipeline OPERA to reduce recent and archived…

Instrumentation and Methods for Astrophysics · Physics 2015-01-14 A. Pereyra , C. V. Rodrigues , E. Martioli

A new method is presented for modeling the transformation between two polarimetric pulse profiles in the Fourier domain. In practice, one is a well-determined standard with high signal-to-noise ratio and the other is an observation that is…

Astrophysics · Physics 2007-05-23 Willem van Straten

It is shown that the direct Fourier synthesization of light beams allows one to create polarity-asymmetric waves, which are able, in the process of nonlinear interaction with a medium, to break its inversion symmetry. As a result, these…

Optics · Physics 2015-06-26 V. S. Zapasskii , E. B. Alexandrov