Quantum Physics and Geometry

  • Edoardo Ballico
  • Alessandra Bernardi
  • Iacopo Carusotto
  • Sonia Mazzucchi
  • Valter Moretti

Part of the Lecture Notes of the Unione Matematica Italiana book series (UMILN, volume 25)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Edoardo Ballico, Alessandra Bernardi, Iacopo Carusotto, Sonia Mazzucchi, Valter Moretti
    Pages 1-4
  3. Davide Pastorello
    Pages 43-70
  4. Bassano Vacchini
    Pages 71-85
  5. Luca Chiantini
    Pages 125-151
  6. F. M. Ciaglia, A. Ibort, G. Marmo
    Pages 153-172
  7. Back Matter
    Pages 173-173

About this book


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, which makes intense use of the most advanced concepts from each discipline. In each contribution, the authors give 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 new open challenges for their research. At the same time, the volume will also be of use to physicists wishing to learn advanced mathematical tools, especially those of a differential and algebraic geometric nature.


Entanglement Hilbert Function Quantum Information Secant Varieties Tensors

Editors and affiliations

  • Edoardo Ballico
    • 1
  • Alessandra Bernardi
    • 2
  • Iacopo Carusotto
    • 3
  • Sonia Mazzucchi
    • 4
  • Valter Moretti
    • 5
  1. 1.Dipartimento di MatematicaUniversità di TrentoTrentoItaly
  2. 2.Dipartimento di MatematicaUniversità di TrentoTrentoItaly
  3. 3.BEC CenterINO-CNRTrentoItaly
  4. 4.Dipartimento di MatematicaUniversità di TrentoTrentoItaly
  5. 5.Dipartimento di MatematicaUniversità di TrentoTrentoItaly

Bibliographic information