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One of the main aims in the field of quantum simulation is to achieve a quantum speedup, often referred to as "quantum computational supremacy", referring to the experimental realization of a quantum device that computationally outperforms…

Quantum Physics · Physics 2018-04-18 J. Bermejo-Vega , D. Hangleiter , M. Schwarz , R. Raussendorf , J. Eisert

We review typical design problems encountered in the planning of observational studies and propose a unifying framework that allows us to use the same concepts and notation for different problems. In the framework, the design is defined as…

Statistics Theory · Mathematics 2017-11-02 Juha Karvanen , Jarno Vanhatalo , Kari Auranen , Sangita Kulathinal , Samu Mäntyniemi

Switchback experiments, where a firm sequentially exposes an experimental unit to random treatments, are among the most prevalent designs used in the technology sector, with applications ranging from ride-hailing platforms to online…

Methodology · Statistics 2025-09-18 Iavor Bojinov , David Simchi-Levi , Jinglong Zhao

Gaussian processes are now commonly used in dimensionality reduction approaches tailored to neuroscience, especially to describe changes in high-dimensional neural activity over time. As recording capabilities expand to include neuronal…

Machine Learning · Statistics 2024-12-24 Evren Gokcen , Anna I. Jasper , Adam Kohn , Christian K. Machens , Byron M. Yu

In the burgeoning field of quantum computing, the precise design and optimization of quantum pulses are essential for enhancing qubit operation fidelity. This study focuses on refining the pulse engineering techniques for superconducting…

Quantum Physics · Physics 2024-09-13 Annika S. Wiening , Joern Bergendahl , Vicente Leyton-Ortega , Peter Nalbach

A new class of cost functionals for optimal control of quantum systems which produces controls which are sparse in frequency and smooth in time is proposed. This is achieved by penalizing a suitable time-frequency representation of the…

Optimization and Control · Mathematics 2016-07-15 Gero Friesecke , Felix Henneke , Karl Kunisch

Quantum technologies are developing powerful tools to generate and manipulate coherent superpositions of different energy levels. Envisaging a new generation of energy-efficient quantum devices, here we explore how coherence can be…

Quantum Physics · Physics 2017-09-06 Giulio Chiribella , Yuxiang Yang

We develop $D$-optimal designs for linear main effects models on a subset of the $2^K$ full factorial design region, when the number of factors set to the higher level is bounded. It turns out that in the case of narrow margins only those…

Statistics Theory · Mathematics 2019-07-08 Fritjof Freise , Heinz Holling , Rainer Schwabe

Recent years have witnessed a growing interest in understating the limitations imposed by quantum noise in precision measurements and devising techniques to reduce it. The attention is currently turning to the simultaneously estimation of…

Quantum Physics · Physics 2025-02-25 Luca Pezzè , Augusto Smerzi

{\em Quantum Fourier analysis} is a new subject that combines an algebraic Fourier transform (pictorial in the case of subfactor theory) with analytic estimates. This provides interesting tools to investigate phenomena such as quantum…

Operator Algebras · Mathematics 2021-06-30 Arthur Jaffe , Chunlan Jiang , Zhengwei Liu , Yunxiang Ren , Jinsong Wu

If an experimentalist observes a sequence of emitted quantum states via either projective or positive-operator-valued measurements, the outcomes form a time series. Individual time series are realizations of a stochastic process over the…

Quantum Physics · Physics 2023-06-14 A. Venegas-Li , J. P. Crutchfield

Research-based multiple-choice questions implemented in class with peer instruction have been shown to be an effective tool for improving students' engagement and learning outcomes. Moreover, multiple-choice questions that are carefully…

Physics Education · Physics 2025-02-11 Yangqiuting Li , Chandralekha Singh

We contemplate an experimental situation in a $2^k$-factorial experiment with acute resource crunch so that we need to conduct just a saturated design [SD] - with the understanding that precision of the estimates cannot be estimated from…

Statistics Theory · Mathematics 2019-11-01 Francois Domagni , Samad Hedayat , Sinha Bikas

The issue of determining not only an adequate dose but also a dosing frequency of a drug arises frequently in Phase II clinical trials. This results in the comparison of models which have some parameters in common. Planning such studies…

Methodology · Statistics 2017-11-16 Kirsten Schorning , Maria Konstantinou

Quality diversity~(QD) is a branch of evolutionary computation that gained increasing interest in recent years. The Map-Elites QD approach defines a feature space, i.e., a partition of the search space, and stores the best solution for each…

Neural and Evolutionary Computing · Computer Science 2023-07-06 Jakob Bossek , Dirk Sudholt

Commercially available Noisy Intermediate-Scale Quantum (NISQ) devices now make small hybrid quantum-classical experiments practical, but many tools hide configuration or demand ad-hoc scripting. We introduce the Quantum Experiment…

Quantum Physics · Physics 2025-11-07 Vincent Gierisch , Wolfgang Mauerer

Optimization strategies driven by machine learning, such as Bayesian optimization, are being explored across experimental sciences as an efficient alternative to traditional design of experiment. When combined with automated laboratory…

Optimization and Control · Mathematics 2022-10-18 Riley J. Hickman , Matteo Aldeghi , Florian Häse , Alán Aspuru-Guzik

In the quest for fault-tolerant quantum computation using superconducting processors, accurate performance assessment and continuous design optimization stands at the forefront. To facilitate both meticulous simulation and streamlined…

Quantum Physics · Physics 2024-03-21 Xiaotong Ni , Ziang Wang , Rui Chao , Jianxin Chen

This paper summarizes a research program that has been underway for a decade. The objective is to find a fast and accurate scheme for solving quantum problems which does not involve a Monte Carlo algorithm. We use an alternative strategy…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carl M. Bender , Lawrence R. Mead , Kimball A. Milton

Optimal design of experiments for correlated processes is an increasingly relevant and active research topic. Present methods have restricted possibilities to judge their quality. To fill this gap, we complement the virtual noise approach…

Statistics Theory · Mathematics 2021-10-25 Andrej Pázman , Markus Hainy , Werner G. Müller