The Semiring of Dichotomies and Asymptotic Relative Submajorization
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
We study quantum dichotomies and the resource theory of asymmetric distinguishability using a generalization of Strassen's theorem on preordered semirings. We find that an asymptotic variant of relative submajorization, defined on unnormalized dichotomies, is characterized by real-valued monotones that are multiplicative under the tensor product and additive under the direct sum. These strong constraints allow us to classify and explicitly describe all such monotones, leading to a rate formula expressed as an optimization involving sandwiched Renyi divergences. As an application we give a new derivation of the strong converse error exponent in quantum hypothesis testing.
Originalsprog | Engelsk |
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Tidsskrift | IEEE Transactions on Information Theory |
Vol/bind | 68 |
Udgave nummer | 1 |
Sider (fra-til) | 311-321 |
Antal sider | 11 |
ISSN | 0018-9448 |
DOI | |
Status | Udgivet - 1 jan. 2022 |
Links
- https://arxiv.org/pdf/2004.10587.pdf
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ID: 316060146