Perry, Christopher and Vrana, Péter and Werner, Albert H. (2021) The semiring of dichotomies and asymptotic relative submajorization. IEEE TRANSACTIONS ON INFORMATION THEORY. ISSN 0018-9448 (In Press)
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Abstract
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 Rényi divergences. As an application we give a new derivation of the strong converse error exponent in quantum hypothesis testing.
Item Type: | Article |
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Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
Depositing User: | Péter Vrana |
Date Deposited: | 27 Sep 2021 14:05 |
Last Modified: | 27 Sep 2021 14:05 |
URI: | http://real.mtak.hu/id/eprint/130813 |
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