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Supersymmetry plays prominent roles in the study of quantum field theory and in many proposals for potential new physics beyond the standard model, while lattice field theory provides a non-perturbative regularization suitable for strongly…

High Energy Physics - Lattice · Physics 2022-09-21 David Schaich

A finite-dimensional Hilbert space is usually described in terms of an orthonormal basis, but in certain approaches or applications a description in terms of a finite overcomplete system of vectors, called a finite tight frame, may offer…

Mathematical Physics · Physics 2010-04-22 Nicolae Cotfas , Jean Pierre Gazeau

High-dimensional data and high-dimensional representations of reality are inherent features of modern Artificial Intelligence systems and applications of machine learning. The well-known phenomenon of the "curse of dimensionality" states:…

Machine Learning · Computer Science 2020-01-22 Alexander N. Gorban , Valery A. Makarov , Ivan Y. Tyukin

Quantum physics modeling is technically complex and often non-descriptive. This article presents some approaches how quantum physical ideas can be represented by haptic models. For this purpose, models made from 3D printers, models made…

Physics Education · Physics 2023-12-12 Franziska Greinert , Malte S. Ubben

Quantum simulation using synthetic quantum systems offers unique opportunities to explore open questions in many-body physics and a path for the generation of useful entangled states. Nevertheless, so far many quantum simulators have been…

Quantum Physics · Physics 2024-07-04 Chengyi Luo , Haoqing Zhang , Anjun Chu , Chitose Maruko , Ana Maria Rey , James K. Thompson

Engineering the optical properties using artificial nanostructured media known as metamaterials has led to breakthrough devices with capabilities from super-resolution imaging to invisibility. In this article, we review metamaterials for…

Optics · Physics 2013-09-24 C. L. Cortes , W. Newman , S. Molesky , Z. Jacob

The ability to control multidimensional quantum systems is key for the investigation of fundamental science and for the development of advanced quantum technologies. Here we demonstrate a multidimensional integrated quantum photonic…

Dimension-varying linear systems are investigated. First, a dimension-free state space is proposed. A cross dimensional distance is constructed to glue vectors of different dimensions together to form a cross-dimensional topological space.…

Dynamical Systems · Mathematics 2019-04-17 Daizhan Cheng , Zhenhui Xu , Tielong Shen

Recently, the theory of symmetric spaces has come to play an increased role in the physics of integrable systems and in quantum transport problems. In addition, it provides a classification of random matrix theories. In this paper we give a…

Condensed Matter · Physics 2007-05-23 Ulrika Magnea

The increasing applications of autonomous driving systems necessitates large-scale, high-quality datasets to ensure robust performance across diverse scenarios. Synthetic data has emerged as a viable solution to augment real-world datasets…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Enes Özeren , Arka Bhowmick

High-dimensional (HD) entanglement promises both enhanced key rates and overcoming obstacles faced by modern-day quantum communication. However, modern convex optimization-based security arguments are limited by computational constraints;…

Quantum Physics · Physics 2025-07-04 Florian Kanitschar , Marcus Huber

Synthetic gauge fields have recently emerged, arising in the context of quantum simulations, topological matter, and the protected transportation of excitations against defects. For example, an ultracold atom experiences a light-induced…

The recent research of topological photonics has not only proposed and realized novel topological phenomena such as one-way broadband propagation and robust transport of light, but also designed and fabricated photonic devices with…

The advancement of visual intelligence is intrinsically tethered to the availability of large-scale data. In parallel, generative Artificial Intelligence (AI) has unlocked the potential to create synthetic images that closely resemble…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Zuhao Yang , Fangneng Zhan , Kunhao Liu , Muyu Xu , Shijian Lu

In the present contribution the construction of particle physics models in theories with fuzzy extra dimensions is discussed. We focus on a bottom-up approach where the structure of a higher-dimensional theory arises within ordinary…

High Energy Physics - Theory · Physics 2011-05-18 Athanasios Chatzistavrakidis , Harold Steinacker , George Zoupanos

Synthetic data generation is a powerful tool for privacy protection when considering public release of record-level data files. Initially proposed about three decades ago, it has generated significant research and application interest. To…

Methodology · Statistics 2023-08-03 Jingchen Hu , Claire McKay Bowen

Nanophotonics has been an active research field over the past two decades, triggered by the rising interests in exploring new physics and technologies with light at the nanoscale. As the demands of performance and integration level keep…

Optics · Physics 2019-01-28 Kan Yao , Rohit Unni , Yuebing Zheng

For over twenty years, ultra-cold atomic systems have formed an almost perfect arena for simulating different quantum many-body phenomena and exposing their non-obvious and very often counterintuitive features. Thanks to extremely precise…

Quantum Gases · Physics 2020-06-12 Jacek Dobrzyniecki , Tomasz Sowiński

We strengthen the case that the new logical perspective afforded by topos theory is suitable to the task of describing the physical world around us. In exploring some of the aspects of construction of a simple quantum-mechanical system in a…

Quantum Physics · Physics 2007-05-23 John D. Fearns

Conventional optical synthesis, the manipulation of the phase and amplitude of spectral components to produce an optical pulse in different temporal modes, is revolutionizing ultrafast optical science and metrology. These technologies rely…

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