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The typical model for measurement noise in quantum error correction is to randomly flip the binary measurement outcome. In experiments, measurements yield much richer information - e.g., continuous current values, discrete photon counts -…

We describe the use of machine learning algorithms to select high-quality measurements for the Mu2e experiment. This technique is important for experiments with backgrounds that arise due to measurement errors. The algorithms use multiple…

Data Analysis, Statistics and Probability · Physics 2021-09-01 Andrew Edmonds , David Brown , Luciano Vinas , Samantha Pagan

Polar codes attract more and more attention of researchers in recent years, since its capacity achieving property. However, their error-correction performance under successive cancellation (SC) decoding is inferior to other modern channel…

Signal Processing · Electrical Eng. & Systems 2019-03-11 Yu Wang , Lirui Chen , Qinglin Wang , Yang Zhang , Zuocheng Xing

A method for bounding the rate of bit-stuffing encoders for 2-D constraints is presented. Instead of considering the original encoder, we consider a related one which is quasi-stationary. We use the quasi-stationary property in order to…

Information Theory · Computer Science 2009-06-15 Ido Tal , Ron M. Roth

We describe in detail the theory underpinning the measurement of density matrices of a pair of quantum two-level systems (``qubits''). Our particular emphasis is on qubits realized by the two polarization degrees of freedom of a pair of…

Quantum Physics · Physics 2016-09-08 Daniel F. V. James , Paul G. Kwiat , William J. Munro , Andrew G. White

High quality data is essential in deep learning to train a robust model. While in other fields data is sparse and costly to collect, in error decoding it is free to query and label thus allowing potential data exploitation. Utilizing this…

Information Theory · Computer Science 2019-11-22 Ishay Be'ery , Nir Raviv , Tomer Raviv , Yair Be'ery

Bistatic radar measurements offer unique spatial diversity and enhanced target characterization capabilities, rendering them increasingly vital for contemporary sensing application research. The reliability of such measurements is…

This paper is concerned with list decoding of $2$-interleaved binary alternant codes. The principle of the proposed algorithm is based on a combination of a list decoding algorithm for (interleaved) Reed-Solomon codes and an algorithm for…

Information Theory · Computer Science 2022-02-14 Chih-Chiang Huang , Hedongliang Liu , Lukas Holzbaur , Sven Puchinger , Antonia Wachter-Zeh

This article is concerned with a new filtered two-step variational integrator for solving the charged-particle dynamics in a mildly non-uniform moderate or strong magnetic field with a dimensionless parameter $\varepsilon$ inversely…

Numerical Analysis · Mathematics 2026-03-05 Ting Li , Bin Wang

Several recent standards such as IEEE 802.11a/g, IEEE 802.16, and ECMA Multiband Orthogonal Frequency Division Multiplexing (MB-OFDM) for high data-rate Ultra-Wideband (UWB), employ bit-interleaved convolutionally-coded multicarrier…

Information Theory · Computer Science 2007-07-13 Chris Snow , Lutz Lampe , Robert Schober

We introduce a deep encoder-decoder architecture for image deformation prediction from multimodal images. Specifically, we design an image-patch-based deep network that jointly (i) learns an image similarity measure and (ii) the…

Computer Vision and Pattern Recognition · Computer Science 2017-04-03 Xiao Yang , Roland Kwitt , Martin Styner , Marc Niethammer

Machine learning has the potential to become an important tool in quantum error correction as it allows the decoder to adapt to the error distribution of a quantum chip. An additional motivation for using neural networks is the fact that…

Quantum Physics · Physics 2019-09-18 Nikolas P. Breuckmann , Xiaotong Ni

The Viterbi algorithm, presented in 1967, allows a maximum likelihood decoding of partial response codes. This study focuses on the duobinary code which is the first member of this family and has been specified for the digital part of…

Information Theory · Computer Science 2022-09-07 Henri Mertens , Marc Van Droogenbroeck

This paper proposes a bitwise over-parameterized neural network (ONN) decoder for polar-coded transmission and develops a tractable theoretical performance analysis framework. By modeling each synthesized message channel as an individual…

Signal Processing · Electrical Eng. & Systems 2026-05-01 Hongzhi Zhu , Wei Xu , Xiaohu You

In this work, we present a comprehensive and comparative analysis of two detection modalities, i.e., polarization rotation and absorption measurement of light, for a double resonance alignment based optical magnetometer (DRAM). We derive…

Optics · Physics 2024-03-11 A. Akbar , M. Kozbiál , L. Elson , A. Meraki , J. Kolodyński , K. Jensen

We propose a measurement strategy which can, probabilistically, reproduce the statistics of any observable for spatially encoded photonic qubits. It comprises the implementation of a two-outcome positive operator-valued measure followed by…

Quantum Physics · Physics 2010-11-16 M. A. Solís-Prosser , L. Neves

We study the problem of multi-compression and reconstructing a stochastic signal observed by several independent sensors (or compressors) that transmit compressed information to a fusion center. { The key aspect of this problem is to find…

Information Theory · Computer Science 2021-11-08 Pablo Soto-Quiros , Anatoli Torokhti , Stanley J. Miklavcic

Recent years have seen growing interest in learning disentangled representations, in which distinct features, such as size or shape, are represented by distinct neurons. Quantifying the extent to which a given representation is disentangled…

Machine Learning · Computer Science 2023-04-06 Louis Mahon , Lei Shah , Thomas Lukasiewicz

Image-based single-modality compression learning approaches have demonstrated exceptionally powerful encoding and decoding capabilities in the past few years , but suffer from blur and severe semantics loss at extremely low bitrates. To…

Image and Video Processing · Electrical Eng. & Systems 2023-04-27 Xuhao Jiang , Weimin Tan , Tian Tan , Bo Yan , Liquan Shen

Two-dimensional electronic spectroscopy has become one of the main experimental tools for analyzing the dynamics of excitonic energy transfer in large molecular complexes. Simplified theoretical models are usually employed to extract model…

Chemical Physics · Physics 2019-01-17 Mirta Rodríguez , Tobias Kramer
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