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We present a scheme for speeding up quantum measurement. The scheme builds on previous protocols that entangle the system to be measured with ancillary systems. In the idealised situation of perfect entangling operations and no decoherence,…

Quantum computers have been widely speculated to offer significant advantages in obtaining the ground state of difficult Hamiltonian in chemistry and physics. In this work, we first propose a Lyapunov control-inspired strategy to accelerate…

Quantum Physics · Physics 2022-12-21 Yu-Cheng Chen , Yu-Qin Chen , Alice Hu , Chang-Yu Hsieh , Shengyu Zhang

We introduce a local concept of speed-up applicable to intermediate stages of a quantum algorithm. We use it to analyse the complementary roles played by quantum parallel computation and quantum measurement in yielding the speed-up. A…

Quantum Physics · Physics 2007-05-23 Giuseppe Castagnoli

Simulation-based methods for statistical inference have evolved dramatically over the past 50 years, keeping pace with technological advancements. The field is undergoing a new revolution as it embraces the representational capacity of…

Machine Learning · Statistics 2024-10-11 Andrew Zammit-Mangion , Matthew Sainsbury-Dale , Raphaël Huser

In this short note, we discuss the basic approach to computational modeling of dynamical systems. If a dynamical system contains multiple time scales, ranging from very fast to slow, computational solution of the dynamical system can be…

Numerical Analysis · Mathematics 2012-05-15 Johan Jansson , Claes Johnson , Anders Logg

Monte Carlo methods use random sampling to estimate numerical quantities which are hard to compute deterministically. One important example is the use in statistical physics of rapidly mixing Markov chains to approximately compute partition…

Quantum Physics · Physics 2017-07-12 Ashley Montanaro

A potential approach for demonstrating quantum advantage is using quantum computers to simulate fermionic systems. Quantum algorithms for fermionic system simulation usually involve the Hamiltonian evolution and measurements. However, in…

Quantum Physics · Physics 2025-05-14 Qing-Song Li , Jiaxuan Zhang , Huan-Yu Liu , Qingchun Wang , Yu-Chun Wu , Guo-Ping Guo

This paper presents a novel technique that allows for both computationally fast and sufficiently plausible simulation of vehicles with non-deformable tracks. The method is based on an effect we have called Contact Surface Motion. A…

Robotics · Computer Science 2022-06-22 Martin Pecka , Karel Zimmermann , Tomáš Svoboda

Simulation is a useful tool in situations where training data for machine learning models is costly to annotate or even hard to acquire. In this work, we propose a reinforcement learning-based method for automatically adjusting the…

Machine Learning · Computer Science 2019-05-15 Nataniel Ruiz , Samuel Schulter , Manmohan Chandraker

It can be computationally advantageous to perform computer simulations in a Lorentz boosted frame for a certain class of systems. However, even if the computer model relies on a covariant set of equations, it has been pointed out that…

Accelerator Physics · Physics 2009-10-01 J. -L. Vay , W. M. Fawley , C. G. Geddes , E. Cormier-Michel , D. P. Grote

Computer modelling for evolutionary systems consists in: 1) to store in the memory the individual features of each member of a large population; and 2) to update the whole system repeatedly, as time goes by, according to some prescribed…

Statistical Mechanics · Physics 2007-05-23 Paulo Murilo Castro de Oliveira

Fast and accurate simulation of imaging through atmospheric turbulence is essential for developing turbulence mitigation algorithms. Recognizing the limitations of previous approaches, we introduce a new concept known as the phase-to-space…

Image and Video Processing · Electrical Eng. & Systems 2021-08-24 Zhiyuan Mao , Nicholas Chimitt , Stanley H. Chan

We demonstrate a technique for performing stochastic simulations of conditional master equations. The method is scalable for many quantum-field problems and therefore allows first-principles simulations of multimode bosonic fields…

Quantum Physics · Physics 2009-12-18 M. R. Hush , A. R. R. Carvalho , J. J. Hope

Direct simulation of biomolecular dynamics in thermal equilibrium is challenging due to the metastable nature of conformation dynamics and the computational cost of molecular dynamics. Biased or enhanced sampling methods may improve the…

Chemical Physics · Physics 2015-06-12 Benjamin Trendelkamp-Schroer , Frank Noe

As the computer vision matures into a systems science and engineering discipline, there is a trend in leveraging latest advances in computer graphics simulations for performance evaluation, learning, and inference. However, there is an open…

Computer Vision and Pattern Recognition · Computer Science 2015-12-04 V S R Veeravasarapu , Rudra Narayan Hota , Constantin Rothkopf , Ramesh Visvanathan

State and parameter estimation is essential for process monitoring and control. Observability plays an important role in both state and parameter estimation. In simultaneous state and parameter estimation, the parameters are often augmented…

Systems and Control · Electrical Eng. & Systems 2021-02-16 Jianbang Liu , Aristarchus Gnanasekar , Yi Zhang , Song Bo , Jinfeng Liu , Jingtao Hu , Tao Zou

This work presents the dual benefit of integrating imitation learning techniques, based on the dynamical systems formalism, with the visual servoing paradigm. On the one hand, dynamical systems allow to program additional skills without…

Robotics · Computer Science 2022-04-13 Antonio Paolillo , Matteo Saveriano

We present a method to accelerate global illumination computation in dynamic environments by taking advantage of limitations of the human visual system. A model of visual attention is used to locate regions of interest in a scene and to…

Graphics · Computer Science 2007-05-23 Yang Li Hector Yee

Enhanced sampling algorithms have emerged as powerful methods to extend the utility of molecular dynamics simulations and allow the sampling of larger portions of the configuration space of complex systems in a given amount of simulation…

Statistical Mechanics · Physics 2022-12-19 Jérôme Hénin , Tony Lelièvre , Michael R. Shirts , Omar Valsson , Lucie Delemotte

Many physical and biological processes are stochastic in nature. Computational models and simulations of such processes are a mathematical and computational challenge. The basic stochastic simulation algorithm was published by D. Gillespie…

Quantitative Methods · Quantitative Biology 2009-11-13 Azi Lipshtat