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  • © 2019

Quantum Physics and Geometry

  • Offers a timely report on the interdisciplinary links between quantum physics and mathematics
  • Stresses the interplay between quantum information and geometry
  • Provides a reference for researchers applying mathematical concepts to physics and technology

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

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-vii
  2. Introduction

    • Edoardo Ballico, Alessandra Bernardi, Iacopo Carusotto, Sonia Mazzucchi, Valter Moretti
    Pages 1-4
  3. Entanglement, CP-Maps and Quantum Communications

    • Davide Pastorello
    Pages 43-70
  4. Frontiers of Open Quantum System Dynamics

    • Bassano Vacchini
    Pages 71-85
  5. Hilbert Functions and Tensor Analysis

    • Luca Chiantini
    Pages 125-151
  6. Differential Geometry of Quantum States, Observables and Evolution

    • 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. 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.


Editors and Affiliations

  • Dipartimento di Matematica, Università di Trento, Trento, Italy

    Edoardo Ballico, Alessandra Bernardi, Sonia Mazzucchi, Valter Moretti

  • BEC Center, INO-CNR, Trento, Italy

    Iacopo Carusotto

Bibliographic Information

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access