Quantum Wasserstein distance of order 1 between channels

Duvenhage, Rocco de Villiers; Mapaya, Mathumo

dc.contributor.author	Duvenhage, Rocco de Villiers
dc.contributor.author	Mapaya, Mathumo
dc.date.accessioned	2023-11-29T10:51:09Z
dc.date.issued	2023-06
dc.description.abstract	We set up a general theory leading to a quantum Wasserstein distance of order 1 between channels in an operator algebraic framework. This gives a metric on the set of channels from one composite system to another, which is deeply connected to reductions of the channels. The additivity and stability properties of this metric are studied.	en_US
dc.description.department	Physics	en_US
dc.description.embargo	2024-06-30
dc.description.librarian	hj2023	en_US
dc.description.sdg	None	en_US
dc.description.sponsorship	Tthe National Research Foundation of South Africa.	en_US
dc.description.uri	https://www.worldscientific.com/worldscinet/idaqp	en_US
dc.identifier.citation	Duvenhage, R. & Mapaya, M. 2023, 'Quantum Wasserstein distance of order 1 between channels', Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 26, no. 3, art. 2350006, doi : 10.1142/S0219025723500066.	en_US
dc.identifier.issn	0219-0257 (print)
dc.identifier.issn	1793-6306 (online)
dc.identifier.uri	http://hdl.handle.net/2263/93539
dc.language.iso	en	en_US
dc.publisher	World Scientific Publishing	en_US
dc.rights	© World Scientific Publishing. Electronic version of an article published in Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 26, no. 3, art. 2350006, 2023, doi : 10.1142/S0219025723500066. The original publication is available at : https://www.worldscientific.com/worldscinet/idaqp.	en_US
dc.subject	Composite systems	en_US
dc.subject	Quantum channels	en_US
dc.subject	Quantum Wasserstein distance of order 1	en_US
dc.subject	Quantum optimal transport	en_US
dc.title	Quantum Wasserstein distance of order 1 between channels	en_US
dc.type	Postprint Article	en_US