Decomposing all multipartite non-signalling channels via quasiprobabilistic mixtures of local channels in generalised probabilistic theories

Simple item page
dc.contributor.authorCavalcanti, Paulo J.en
dc.contributor.authorSelby, John H.en
dc.contributor.authorSikora, Jamieen
dc.contributor.authorSainz, Ana Belenen
dc.date.accessioned2022-10-04T16:46:23Zen
dc.date.available2022-10-04T16:46:23Zen
dc.date.issued2022-10-07en
dc.description.abstractNon-signalling quantum channels-relevant in, e.g., the study of Bell and Einstein-Podolsky-Rosen scenarios-may be decomposed as an affine combinations of local operations in bipartite scenarios. Moreover, when these channels correspond to stochastic maps between classical variables, such a decomposition is possible even in multipartite scenarios. These two results have proven useful when studying the properties of these channels, such as their communication and information processing power, and even when defining measures of the non-classicality of physical phenomena (such as Bell non-classicality and steering). In this paper we show that such useful quasi-stochastic characterizations of channels may be unified and applied to the broader class of multipartite non-signalling channels. Moreover, we show that this holds for non-signalling channels in quantum theory, as well as in a larger family of generalised probabilistic theories. More precisely, we prove that channels are non-signalling if and only if they can be decomposed as an affine combinations of corresponding local operations, provided that the underlying physical theory is locally tomographic-a property that quantum theory satisfies. Our results then can be viewed as a generalisation of references (Phys. Rev. Lett. 111 170403) and (2013 Phys. Rev. A 88 022318) to the multipartite scenario for arbitrary tomographically local generalised probabilistic theories (including quantum theory). Our proof technique leverages Hardy's duotensor formalism, highlighting its utility in this line of research.en
dc.description.notesPJC, JHS, and ABS acknowledge support by the Foundation for Polish Science (IRAP project, ICTQT, Contract No. 2018/MAB/5, co-financed by EU within Smart Growth Operational Programme). All of the diagrams within this manuscript were prepared using TikZit.en
dc.description.sponsorshipFoundation for Polish Science (IRAP project, ICTQT - EU within Smart Growth Operational Programme) [2018/MAB/5]en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1088/1751-8121/ac8ea4en
dc.identifier.eissn1751-8121en
dc.identifier.issn1751-8113en
dc.identifier.issue40en
dc.identifier.other404001en
dc.identifier.urihttp://hdl.handle.net/10919/112068en
dc.identifier.volume55en
dc.language.isoenen
dc.publisherIOP Publishingen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectgeneralised probabilistic theoriesen
dc.subjectduotensorsen
dc.subjectnon-signalling channelsen
dc.subjectquasiprobabilitiesen
dc.titleDecomposing all multipartite non-signalling channels via quasiprobabilistic mixtures of local channels in generalised probabilistic theoriesen
dc.title.serialJournal of Physics A-Mathematical and Theoreticalen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
CavalcantiDecomposing.pdf
Size:
2.85 MB
Format:
Adobe Portable Document Format
Description:
Published version
Download

Collections

Scholarly Works, Computer Science