The flourishing theory of classical optimal transport concerns mass transportation at minimal cost. This book introduces the reader to optimal transport on quantum structures, i.e., optimal transportation between quantum states and related non-commutative concepts of mass transportation. It contains lecture notes on classical optimal transport and Wasserstein gradient flowsdynamics and quantum optimal transportquantum couplings and many-body problemsquantum channels and qubits These notes are based on lectures given by the authors at the "Optimal Transport on Quantum Structures" School held at the Erdös Center in Budapest in the fall of 2022. The lecture notes are complemented by two survey chapters presenting the state of the art in different research areas of non-commutative optimal transport.
Format:
CONTRIBUTORS: Jan Maas
EAN: 9783031504655
COUNTRY: Switzerland
PAGES:
WEIGHT: 0 g
HEIGHT: 235 cm
PUBLISHED BY: Springer International Publishing AG
DATE PUBLISHED: 2024-01-24
CITY:
GENRE: MATHEMATICS / General, MATHEMATICS / Mathematical Analysis
WIDTH: 155 cm
SPINE:
Book Themes:
Mathematics, Calculus and mathematical analysis, Integral calculus and equations
Jan Maas is Professor at the Institute of Science and Technology Austria (ISTA). He holds a PhD degree from TU Delft and he was a post-doctoral researcher at the University of Warwick and the University of Bonn. He received an ERC Starting Grant in 2016. His research interests are in analysis and probability theory.Simone Rademacher is a researcher in mathematical physics. She received her doctoral degree from the University of Zurich and was a post-doctoral researcher at the Institute of Science and Technology Austria (ISTA). Currently, she is an interim professor at the Ludwig-Maximilians University Munich (LMU).Tamás Titkos is a researcher at the HUN-REN Alfréd Rényi Institute of Mathematics. He holds a PhD degree from Eötvös Loránd University. He is the recipient of the Youth Award and the Alexits Prize of the Hungarian Academy of Sciences. His research interest is in functional analysis.Dániel Virosztek is a research fellow leading the Optimal Transport Research Group of the Rényi Institute. He got his Ph.D. degree in 2016 at TU Budapest and spent four years at the IST Austria as a postdoctoral researcher. He returned to Hungary with a HAS-Momentum grant in 2021. He is working on the geometry of classical and quantum optimal transport.
