04417nam a2200685 i 4500 9780750357449 IOP 20251030124830.0 m eo d cr cn |||m|||a 241003s2024 enka fob 000 0 eng d 9780750357449 ebook 9780750357432 mobi 9780750357425 print 9780750357456 myPrint 10.1088/978-0-7503-5744-9 doi (CaBNVSL)thg00083987 (OCoLC)1456077004 CaBNVSL eng rda CaBNVSL CaBNVSL QC174.17.M35 D567 2024eb PHQ bicssc SCI057000 bisacsh Di Molfetta, Giuseppe, 1985- author. 97057 Quantum walks, limits, and transport equations / Giuseppe Di Molfetta. Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2024] 1 online resource (various pagings) : illustrations (some color). text rdacontent electronic isbdmedia online resource rdacarrier [IOP release $release] IOP ebooks. [2024 collection] "Version: 20240901"--Title page verso. Includes bibliographical references. 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. Full-text restricted to subscribers or individual document purchasers. 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. Researchers, post grad students, academia in studying quantum science. 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.). Title from PDF title page (viewed on October 3, 2024). Quantum theory Mathematics. 95689 Transport theory Mathematics. 97058 Quantum physics (quantum mechanics & quantum field theory) bicssc SCIENCE / Physics / Quantum Theory. bisacsh Institute of Physics (Great Britain), publisher. 17702 Print version: 9780750357425 9780750357456 IOP (Series). Release 24. IOP ebooks. 2024 collection. https://iopscience.iop.org/book/mono/978-0-7503-5744-9 E-Books 68501 68501