Quantum Physics and Geometry

1. Auflage 2019
ISBN: 978-3-030-06121-0
Verlag: Springer International Publishing

Buch, Englisch, Band 25, 173 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 289 g

Reihe: Lecture Notes of the Unione Matematica Italiana

This book collects independent contributions on current developments in quantum information theory, a very interdisciplinary field at the intersection of physics, computer science and mathematics. Making intense use of the most advanced concepts from each discipline, the authors give in each contribution pedagogical introductions to the main concepts underlying their present research and present a personal perspective on some of the most exciting open problems.

Keeping this diverse audience in mind, special efforts have been made to ensure that the basic concepts underlying quantum information are covered in an understandable way for mathematical readers, who can find there new open challenges for their research. At the same time, the volume can also be of use to physicists wishing to learn advanced mathematical tools, especially of differential and algebraic geometric nature.

Zielgruppe

Research

Autoren/Hrsg.

Ballico, Edoardo

Bernardi, Alessandra

Moretti, Valter

Carusotto, Iacopo

Mazzucchi, Sonia

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik EDV | Informatik Technische Informatik Quantencomputer, DNA-Computing
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

- Introduction. - A Very Brief Introduction to Quantum Computing and Quantum Information Theory for Mathematicians. - Entanglement, CP-Maps and Quantum Communications. - Frontiers of Open Quantum System Dynamics. - Geometric Constructions over C and F2 for Quantum Information. - Hilbert Functions and Tensor Analysis. - Differential Geometry of Quantum States, Observables and Evolution.