Ballico E., Bernardi A., Carusotto I., Mazzucchi S., Moretti V. (Eds.) Quantum Physics and Geometry

Springer, 2019. — 177 p. — (Lecture Notes of the Unione Matematica Italiana 25). — ISBN: 978-3-030-06121-0.The development of quantum mechanics has been one of the greatest scientific achievements of the early twentieth century. In spite of its remarkable success in explaining and predicting an amazing number of properties of our physical world, its interpretation has raised strong controversies among a wide community of scientists and philosophers. One of the hottest points of discussion is the meaning of the socalled quantum entanglement that, for systems of two or many particles, allows in particular the possibility for each particle of the system to be simultaneously located
at different spatial positions.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