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Rodriguez-Ramos, C. 
ORCID: 0009-0009-0112-4391 and Wilmott, C.M.,
2023.
On the convex characterisation of the set of unital quantum channels.
Journal of Physics A: Mathematical and Theoretical.
ISSN 1751-8113
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Abstract
In this paper, we consider the convex structure of the set of unital quantum channels. To do this, we introduce a novel framework to construct and characterise different families of low-rank unital quantum maps. In this framework, unital quantum maps are represented as a set of complex parameters on which we impose a set of constraints. The different families of unital maps are obtained by mapping those parameters into the operator representation of a quantum map. For these families, we also introduce a scalar measuring their distance to the set of mixed-unitary maps. We consider the particular case of qutrit channels which is the smallest set of maps for which the existence of non-unitary extremal maps is known. In this setting, we show how our framework generalises the description of well-known maps such as the antisymmetric Werner-Holevo map but also novel families of qutrit maps.
| Item Type: | Journal article | ||||||
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| Publication Title: | Journal of Physics A: Mathematical and Theoretical | ||||||
| Creators: | Rodriguez-Ramos, C. and Wilmott, C.M. | ||||||
| Publisher: | IOP Publishing | ||||||
| Date: | 27 September 2023 | ||||||
| ISSN: | 1751-8113 | ||||||
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| Rights: | © 2023 The Author(s). Published by IOP Publishing Ltd. As the Version of Record of this article is going to be / has been published on a gold open access basis under a CC BY 4.0 licence, this Accepted Manuscript is available for reuse under a CC BY 4.0 licence immediately. Everyone is permitted to use all or part of the original content in this article, provided that they adhere to all the terms of the licence https://creativecommons.org/licences/by/4.0 | ||||||
| Divisions: | Schools > School of Science and Technology | ||||||
| Record created by: | Laura Ward | ||||||
| Date Added: | 18 Oct 2023 07:48 | ||||||
| Last Modified: | 18 Oct 2023 07:48 | ||||||
| URI: | https://irep.ntu.ac.uk/id/eprint/49998 |
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