A dual formula for the noncommutative transport distance
Wirth M. 2022. A dual formula for the noncommutative transport distance. Journal of Statistical Physics. 187(2), 19.
Download
Journal Article
| Published
| English
Scopus indexed
Author
Corresponding author has ISTA affiliation
Department
Abstract
In this article we study the noncommutative transport distance introduced by Carlen and Maas and its entropic regularization defined by Becker and Li. We prove a duality formula that can be understood as a quantum version of the dual Benamou–Brenier formulation of the Wasserstein distance in terms of subsolutions of a Hamilton–Jacobi–Bellmann equation.
Publishing Year
Date Published
2022-04-08
Journal Title
Journal of Statistical Physics
Publisher
Springer Nature
Acknowledgement
The author wants to thank Jan Maas for helpful comments. He also acknowledges financial support from the Austrian Science Fund (FWF) through Grant Number F65 and from the European Research Council (ERC) under the European Union’s Horizon 2020 Research and Innovation Programme (Grant Agreement No. 716117).
Open access funding provided by Institute of Science and Technology (IST Austria).
Volume
187
Issue
2
Article Number
19
ISSN
eISSN
IST-REx-ID
Cite this
Wirth M. A dual formula for the noncommutative transport distance. Journal of Statistical Physics. 2022;187(2). doi:10.1007/s10955-022-02911-9
Wirth, M. (2022). A dual formula for the noncommutative transport distance. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02911-9
Wirth, Melchior. “A Dual Formula for the Noncommutative Transport Distance.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02911-9.
M. Wirth, “A dual formula for the noncommutative transport distance,” Journal of Statistical Physics, vol. 187, no. 2. Springer Nature, 2022.
Wirth M. 2022. A dual formula for the noncommutative transport distance. Journal of Statistical Physics. 187(2), 19.
Wirth, Melchior. “A Dual Formula for the Noncommutative Transport Distance.” Journal of Statistical Physics, vol. 187, no. 2, 19, Springer Nature, 2022, doi:10.1007/s10955-022-02911-9.
All files available under the following license(s):
Creative Commons Attribution 4.0 International Public License (CC-BY 4.0):
Main File(s)
File Name
2022_JourStatisticalPhysics_Wirth.pdf
362.12 KB
Access Level
Open Access
Date Uploaded
2022-04-29
MD5 Checksum
f3e0b00884b7dde31347a3756788b473
Export
Marked PublicationsOpen Data ISTA Research Explorer
Google Scholar