---
_id: '18899'
abstract:
- lang: eng
  text: "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\r\n\r\nclassical
    optimal transport and Wasserstein gradient flows\r\ndynamics and quantum optimal
    transport\r\nquantum couplings and many-body problems\r\nquantum channels and
    qubits\r\n\r\nThese 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."
alternative_title:
- Bolyai Society Mathematical Studies
article_processing_charge: No
citation:
  ama: 'Maas J, Rademacher SAE, Titkos T, Virosztek D, eds. <i>Optimal Transport on
    Quantum Structures</i>. Vol 29. Cham: Springer Nature; 2024. doi:<a href="https://doi.org/10.1007/978-3-031-50466-2">10.1007/978-3-031-50466-2</a>'
  apa: 'Maas, J., Rademacher, S. A. E., Titkos, T., &#38; Virosztek, D. (Eds.). (2024).
    <i>Optimal Transport on Quantum Structures</i> (Vol. 29). Cham: Springer Nature.
    <a href="https://doi.org/10.1007/978-3-031-50466-2">https://doi.org/10.1007/978-3-031-50466-2</a>'
  chicago: 'Maas, Jan, Simone Anna Elvira Rademacher, Tamás Titkos, and Daniel Virosztek,
    eds. <i>Optimal Transport on Quantum Structures</i>. Vol. 29. BSMS. Cham: Springer
    Nature, 2024. <a href="https://doi.org/10.1007/978-3-031-50466-2">https://doi.org/10.1007/978-3-031-50466-2</a>.'
  ieee: 'J. Maas, S. A. E. Rademacher, T. Titkos, and D. Virosztek, Eds., <i>Optimal
    Transport on Quantum Structures</i>, vol. 29. Cham: Springer Nature, 2024.'
  ista: 'Maas J, Rademacher SAE, Titkos T, Virosztek D eds. 2024. Optimal Transport
    on Quantum Structures, Cham: Springer Nature,p.'
  mla: Maas, Jan, et al., editors. <i>Optimal Transport on Quantum Structures</i>.
    Vol. 29, Springer Nature, 2024, doi:<a href="https://doi.org/10.1007/978-3-031-50466-2">10.1007/978-3-031-50466-2</a>.
  short: J. Maas, S.A.E. Rademacher, T. Titkos, D. Virosztek, eds., Optimal Transport
    on Quantum Structures, Springer Nature, Cham, 2024.
date_created: 2025-01-27T12:26:03Z
date_published: 2024-09-19T00:00:00Z
date_updated: 2025-02-17T12:22:18Z
day: '19'
department:
- _id: JaMa
doi: 10.1007/978-3-031-50466-2
editor:
- first_name: Jan
  full_name: Maas, Jan
  id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
  last_name: Maas
  orcid: 0000-0002-0845-1338
- first_name: Simone Anna Elvira
  full_name: Rademacher, Simone Anna Elvira
  id: 856966FE-A408-11E9-977E-802DE6697425
  last_name: Rademacher
  orcid: 0000-0001-5059-4466
- first_name: Tamás
  full_name: Titkos, Tamás
  last_name: Titkos
- first_name: Daniel
  full_name: Virosztek, Daniel
  id: 48DB45DA-F248-11E8-B48F-1D18A9856A87
  last_name: Virosztek
  orcid: 0000-0003-1109-5511
intvolume: '        29'
language:
- iso: eng
month: '09'
oa_version: None
place: Cham
publication_identifier:
  eisbn:
  - '9783031504662'
  eissn:
  - 2947-9460
  isbn:
  - '9783031504655'
  issn:
  - 1217-4696
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
series_title: BSMS
status: public
title: Optimal Transport on Quantum Structures
type: book_editor
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 29
year: '2024'
...