Di Molfetta, Giuseppe 1985- creator author. Institute of Physics (Great Britain) publisher. text bibliography enk 2024 monographic eng access 1 online resource (various pagings) : illustrations (some color). This book provides an overview of quantum walks, limits, and transport equations. After an introduction to quantum computing, quantum simulation, and then symmetries, it then narrows down to describe quantum transport and quantum walks. It provides a review of the basics of quantum mechanics and the underlying mathematical framework. The fundamentals of quantum walks are described, followed by an overview of plastic quantum walks including limits, analysis, and interpretation of results. 1. Introduction -- 2. Elements of quantum theory -- 2.1. Reminders of linear algebra -- 2.2. Postulates of quantum theory 3. Fundamentals of quantum walks -- 3.1. Quantum walks -- 3.2. Higher-dimensional spaces 4. Continuous limits and plasticity in one dimension -- 4.1. Plastic quantum walk -- 4.2. Convergence -- 4.3. Discussion and open problems 5. Plasticity in 2D, transport equations and beyond -- 5.1. Higher spatial dimensions : the plane -- 5.2. Discussion and perspectives 6. Quantum walking over triangles -- 6.1. The model -- 6.2. Discussion and open problems 7. Simulating transport on curved surfaces -- 7.1. Mimicking curved transport on the grid -- 7.2. A quantum walk over a generic two-dimensional spatial triangulation -- 7.3. Discussion and perspectives -- 8. Conclusion. Researchers, post grad students, academia in studying quantum science. specialized Giuseppe Di Molfetta. "Version: 20240901"--Title page verso. Includes bibliographical references. Full-text restricted to subscribers or individual document purchasers. Also available in print. Mode of access: World Wide Web. System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. Giuseppe Di Molfetta is an assistant professor at Aix-Marseille University, in the Natural Computing group at the Computer Science Lab, LIS. His research focuses on Quantum Walks-based architectures and Quantum Cellular Automata, with a special emphasis on quantum simulation of physical theories, quantum algorithms and discrete geometry. He has national (Marseille, Paris, Grenoble) and international collaborations (Brazil, Japan, Germany, UK), resulting in already 34 publications in high-impact international journals (e.g., Physical Review Letters, Quantum, Quantum Information Processing, Scientific Reports, etc.). Quantum theory Mathematics Transport theory Mathematics Quantum physics (quantum mechanics & quantum field theory) SCIENCE / Physics / Quantum Theory QC174.17.M35 D567 2024eb Release 24 2024 collection 9780750357449 9780750357432 https://iopscience.iop.org/book/mono/978-0-7503-5744-9 https://iopscience.iop.org/book/mono/978-0-7503-5744-9 Full-text restricted to subscribers or individual document purchasers. CaBNVSL 241003 20251030124830.0 9780750357449 eng