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Magic state distillation (MSD) is an essential element for universal fault-tolerant quantum computing, which distills a high-fidelity magic state from noisy magic states using ideal (error-corrected) Clifford operations. For ideal Clifford…

Quantum Physics · Physics 2025-06-23 Tomohiro Itogawa , Yugo Takada , Yutaka Hirano , Keisuke Fujii

Magic state distillation is a crucial component in the leading approaches to implementing universal fault tolerant quantum computation, with existing protocols for both qubit and higher dimensional systems. Early work focused on determining…

Quantum Physics · Physics 2016-03-25 Hillary Dawkins , Mark Howard

Entanglement distillation, the process of converting weakly entangled states into maximally entangled ones using Local Operations and Classical Communication (LOCC), is pivotal for robust entanglement-assisted quantum information processing…

Quantum Physics · Physics 2025-12-17 Christopher Popp , Tobias C. Sutter , Beatrix C. Hiesmayr

Markov chain Monte Carlo is a class of algorithms for drawing Markovian samples from high-dimensional target densities to approximate the numerical integration associated with computing statistical expectation, especially in Bayesian…

Computation · Statistics 2018-03-28 Khoa T. Tran

Dataset distillation, a training-aware data compression technique, has recently attracted increasing attention as an effective tool for mitigating costs of optimization and data storage. However, progress remains largely empirical.…

Machine Learning · Computer Science 2026-03-31 Yuri Kinoshita , Naoki Nishikawa , Taro Toyoizumi

We present a way to include non local potentials in the standard Diffusion Monte Carlo method without using the locality approximation. We define a stochastic projection based on a fixed node effective Hamiltonian, whose lowest energy is an…

Other Condensed Matter · Physics 2009-11-11 Michele Casula

Progress in computing the spectrum of excited baryons and mesons in lattice QCD is described. Results in the zero-momentum bosonic I=1/2, S=1, T1u symmetry sector of QCD using a correlation matrix of 58 operators are presented. All needed…

High Energy Physics - Lattice · Physics 2015-06-18 John Bulava , Brendan Fahy , Justin Foley , You-Cyuan Jhang , Keisuke J. Juge , David Lenkner , Colin Morningstar , Chik Him Wong

A broad class of hybrid quantum-classical algorithms known as "variational algorithms" have been proposed in the context of quantum simulation, machine learning, and combinatorial optimization as a means of potentially achieving a quantum…

Quantum Physics · Physics 2021-04-09 Aram Harrow , John Napp

Numerical evaluation of the path integral for QCD on a discrete space-time lattice has been used to calculate ground state matrix elements specifying moments of quark density and spin distributions. This talk will explain how these matrix…

High Energy Physics - Lattice · Physics 2008-11-26 J. W. Negele

Dataset Distillation (DD) aims to generate a compact synthetic dataset that enables models to achieve performance comparable to training on the full large dataset, significantly reducing computational costs. Drawing from optimal transport…

Computer Vision and Pattern Recognition · Computer Science 2025-07-03 Haoyang Liu , Yijiang Li , Tiancheng Xing , Peiran Wang , Vibhu Dalal , Luwei Li , Jingrui He , Haohan Wang

To put a state-of-the-art neural network to practical use, it is necessary to design a model that has a good trade-off between the resource consumption and performance on the test set. Many researchers and engineers are developing methods…

Machine Learning · Computer Science 2020-09-15 SeongUk Park , KiYoon Yoo , Nojun Kwak

Most experimental and theoretical studies of adiabatic optimization use stoquastic Hamiltonians, whose ground states are expressible using only real nonnegative amplitudes. This raises a question as to whether classical Monte Carlo methods…

Quantum Physics · Physics 2016-11-01 Michael Jarret , Stephen P. Jordan , Brad Lackey

We present first results of a recently started lattice QCD investigation of antiheavy-antiheavy-light-light tetraquark systems including scattering interpolating operators in correlation functions both at the source and at the sink. In…

High Energy Physics - Lattice · Physics 2022-10-18 Marc Wagner , Constantia Alexandrou , Jacob Finkenrath , Theodoros Leontiou , Stefan Meinel , Martin Pflaumer

In critical lattice models, distance ($r$) dependent correlation functions contain power laws $r^{-2\Delta}$ governed by scaling dimensions $\Delta$ of an underlying continuum field theory. In Monte Carlo simulations, the leading dimensions…

Statistical Mechanics · Physics 2025-04-15 Anders W. Sandvik

An important tool for the analysis of results of numerical simulations of lattice QCD is chiral perturbation theory. In Wilson chiral perturbation theory the effects of the finite lattice spacing $a$ are taken into account. In recent years…

High Energy Physics - Lattice · Physics 2016-05-31 Sebastian Engelnkemper , Gernot Münster

Lattice quantum chromodynamics (QCD) will soon become the primary theoretical tool in rigorous studies of single- and multi-hadron sectors of QCD. It is truly ab initio meaning that its only parameters are those of standard model. The…

High Energy Physics - Lattice · Physics 2014-09-09 Zohreh Davoudi

We consider QCD radiative corrections to top-quark pair production at hadron colliders. We use the $q_T$ subtraction formalism to perform a fully-differential computation for this process. Our calculation is accurate up to the…

High Energy Physics - Phenomenology · Physics 2016-01-27 Roberto Bonciani , Stefano Catani , Massimiliano Grazzini , Hayk Sargsyan , Alessandro Torre

Finite density systems can be explored with Lattice QCD through the calculation of multi-hadron correlation functions. Recently, systems with up to 12 $\pi^+$'s or $K^+$'s have been studied to determine the 3-$\pi^+$ and 3-$K^+$…

High Energy Physics - Lattice · Physics 2010-08-16 William Detmold , Martin J. Savage

The Cooperative Motion Algorithm is an efficient lattice method to simulate dense polymer systems and is often used with two different criteria to generate a Markov chain in the configuration space. While the first method is the…

Statistical Mechanics · Physics 2016-11-18 Piotr Knychala , Michal Banaszak

We present a method for the numerical calculation of derivatives of functions of general complex matrices. The method can be used in combination with any algorithm that evaluates or approximates the desired matrix function, in particular…

High Energy Physics - Lattice · Physics 2016-10-13 M. Puhr , P. V. Buividovich