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020 _a9783031504662
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024 7 _a10.1007/978-3-031-50466-2
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
072 7 _aPB
_2thema
245 1 0 _aOptimal Transport on Quantum Structures
_h[electronic resource] /
_cedited by Jan Maas, Simone Rademacher, Tamás Titkos, Dániel Virosztek.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aIX, 321 p. 8 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aBolyai Society Mathematical Studies,
_x2947-9460 ;
_v29
505 0 _aPreface -- Chapter 1. An Introduction to Optimal Transport and Wasserstein Gradient Flows by Alessio Figalli -- Chapter 2. Dynamics and Quantum Optimal Transport:Three Lectures on Quantum Entropy and Quantum Markov Semigroups by Eric A. Carlen -- Chapter 3. Quantum Couplings and Many-body Problems by Francois Golse -- Chapter 4. Quantum Channels and Qubits by Giacomo De Palma and Dario Trevisan -- Chapter 5. Entropic Regularised Optimal Transport in a Noncommutative Setting by Lorenzo Portinale -- Chapter 6. Logarithmic Sobolev Inequalities for Finite Dimensional Quantum Markov Chains by Cambyse Rouzé.
520 _aThe 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 classical optimal transport and Wasserstein gradient flows dynamics and quantum optimal transport quantum couplings and many-body problems quantum channels and qubits These 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.
650 0 _aMathematics.
_965523
650 0 _aMathematical analysis.
_964178
650 0 _aGlobal analysis (Mathematics).
_969682
650 0 _aManifolds (Mathematics).
_969683
650 0 _aMeasure theory.
_971216
650 1 4 _aMathematics.
_965523
650 2 4 _aAnalysis.
650 2 4 _aGlobal Analysis and Analysis on Manifolds.
_969685
650 2 4 _aMeasure and Integration.
_971219
700 1 _aMaas, Jan.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_984651
700 1 _aRademacher, Simone.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_984652
700 1 _aTitkos, Tamás.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_984653
700 1 _aVirosztek, Dániel.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_984654
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031504655
776 0 8 _iPrinted edition:
_z9783031504679
776 0 8 _iPrinted edition:
_z9783031504686
830 0 _aBolyai Society Mathematical Studies,
_x2947-9460 ;
_v29
_984655
856 4 0 _uhttps://doi.org/10.1007/978-3-031-50466-2
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c63542
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