TY  - BOOK
AU  - Di Molfetta,Giuseppe
ED  - Institute of Physics (Great Britain),
TI  - Quantum walks, limits, and transport equations
T2  - [IOP release $release]
SN  - 9780750357449
AV  - QC174.17.M35 D567 2024eb
PY  - 2024///]
CY  - Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK)
PB  - IOP Publishing
KW  - Quantum theory
KW  - Mathematics
KW  - Transport theory
KW  - Quantum physics (quantum mechanics & quantum field theory)
KW  - bicssc
KW  - SCIENCE / Physics / Quantum Theory
KW  - bisacsh
N1  - "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; Researchers, post grad students, academia in studying quantum science; Also available in print
N2  - 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
UR  - https://iopscience.iop.org/book/mono/978-0-7503-5744-9
ER  -