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We derive the effective channel for a logical qubit protected by an arbitrary quantum error-correcting code, and derive the map between channels induced by concatenation. For certain codes in the presence of single-bit Pauli errors, we…

Quantum Physics · Physics 2007-05-23 Benjamin Rahn , Andrew C. Doherty , Hideo Mabuchi

We perform a precision calculation of the effective field theory (EFT) conditional likelihood for large-scale structure (LSS) using the saddle-point expansion method in the presence of primordial non-Gaussianities (PNG). The precision is…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-11 Ji-Yuan Ke , Yun Wang , Ping He

Estimators of parameters of truncated distributions, namely the truncated normal distribution, have been widely studied for a known truncation region. There is also literature for estimating the unknown bounds for known parent…

Computation · Statistics 2026-01-16 Dylan Borchert , Semhar Michael , Christopher Saunders

The consistency relations in large scale structure relate the lower-order correlation functions with their higher-order counterparts. They are direct outcome of the underlying symmetries of a dynamical system and can be tested using data…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-23 Dipak Munshi , Donough Regan

We study an expansion method for high-dimensional parabolic PDEs which constructs accurate approximate solutions by decomposition into solutions to lower-dimensional PDEs, and which is particularly effective if there are a low number of…

Analysis of PDEs · Mathematics 2016-11-08 Christoph Reisinger , Rasmus Wissmann

We develop an effective field theory (EFT) framework to perform an analytic calculation for energy correlator observables computed on groomed heavy-quark jets. A soft-drop grooming algorithm is applied to a jet initiated by a massive quark…

High Energy Physics - Phenomenology · Physics 2019-10-02 Christopher Lee , Prashant Shrivastava , Varun Vaidya

We propose a new approach for estimating the parameters of a probability distribution. It consists on combining two new methods of estimation. The first is based on the definition of a new distance measuring the difference between…

Methodology · Statistics 2008-12-30 Ahmed Guellil , Tewfik Kernane

For a sample of Exponentially distributed durations we aim at point estimation and a confidence interval for its parameter. A duration is only observed if it has ended within a certain time interval, determined by a Uniform distribution.…

Methodology · Statistics 2021-10-19 Rafael Weißbach , Dominik Wied

In the stochastic frontier model, the composed error term consists of the measurement error and the inefficiency term. A general assumption is that the inefficiency term follows a truncated normal or exponential distribution. In a wide…

Methodology · Statistics 2020-06-08 Rouven Schmidt , Thomas Kneib

In prevalent cohort studies with follow-up, the time-to-event outcome is subject to left truncation leading to selection bias. For estimation of the distribution of time-to-event, conventional methods adjusting for left truncation tend to…

Methodology · Statistics 2025-12-29 Yuyao Wang , Andrew Ying , Ronghui Xu

Modeled along the truncated approach in Panigrahi (2016), selection-adjusted inference in a Bayesian regime is based on a selective posterior. Such a posterior is determined together by a generative model imposed on data and the selection…

Methodology · Statistics 2017-09-12 Snigdha Panigrahi , Jonathan Taylor

Edge-exchangeable probabilistic network models generate edges as an i.i.d.~sequence from a discrete measure, providing a simple means for statistical inference of latent network properties. The measure is often constructed using the…

Statistics Theory · Mathematics 2021-09-15 Xinglong Li , Trevor Campbell

New energy-density functionals (EDFs) inspired by effective-field theories (EFTs) have been recently proposed. The present work focuses on three of such functionals which were developed to produce satisfactory equations of state for nuclear…

Nuclear Theory · Physics 2018-09-26 Jérémy Bonnard , Marcella Grasso , Denis Lacroix

This paper is concerned with the phase estimation algorithm in quantum computing algorithms, especially the scenarios where (1) the input vector is not an eigenvector; (2) the unitary operator is not exactly implemented; (3) random…

Quantum Physics · Physics 2022-08-10 Xiantao Li

The perturbation series for the renormalization group functions of the $O(N)-$symmetric $\phi^4$ field theory are divergent but asymptotic. They are usually followed by Resummation calculations to extract reliable results. Although the same…

High Energy Physics - Theory · Physics 2024-09-04 Abouzeid M. Shalaby

We consider Empirical Bayes (EB) estimation in the normal means problem, when the standard deviations of the observations are not known precisely, but estimated with error -- which is almost always the case in practical applications. In…

Methodology · Statistics 2019-01-31 Mengyin Lu , Matthew Stephens

Over the past years, the interpretation of measurements in the context of effective field theories has attracted much attention in the field of particle physics. We present a tool for interpreting sets of measurements in such models using a…

High Energy Physics - Experiment · Physics 2016-08-24 Nuno Castro , Johannes Erdmann , Cornelius Grunwald , Kevin Kröninger , Nils-Arne Rosien

We apply the effective field theoretic (EFT) approach to resum the large perturbative logarithms arising when partonic hard scattering cross-sections are taken to the threshold limit. We consider deep inelastic scattering, Drell-Yan lepton…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ahmad Idilbi , Xiangdong Ji , Feng Yuan

We review the effective field theories (EFTs) developed for few-nucleon systems. These EFTs are controlled expansions in momenta, where certain (leading-order) interactions are summed to all orders. At low energies, an EFT with only contact…

Nuclear Theory · Physics 2009-11-07 P. F. Bedaque , U. van Kolck

We use Bayesian methods and Hamiltonian Monte Carlo (HMC) sampling to infer the posterior probability density function (PDF) for the low-energy constants (LECs) up to next-to-next-to-next- to-leading order (N3LO) in a chiral effective field…

Nuclear Theory · Physics 2024-07-29 Isak Svensson , Andreas Ekström , Christian Forssén
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