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Quantum Physics
Title: Asymptotic state transformations of continuous variable resources
(Submitted on 30 Sep 2020 (this version), latest version 14 Dec 2022 (v3))
Abstract: We prove that strongly superadditive monotones can be used to bound asymptotic state transformation rates in continuous variable resource theories. This removes the need for asymptotic continuity, which is typically lost in infinite-dimensional settings. We consider three applications, to the resource theories of (I) optical nonclassicality, (II) entanglement, and (III) quantum thermodynamics. In cases (II) and (III), the employed monotones are the squashed entanglement and the free energy, respectively. For case (I), we consider the measured relative entropy of nonclassicality and prove it to be strongly superadditive. Our technique then yields computable upper bounds on asymptotic transformation rates including those achievable under linear optical elements. We conclude by applying our findings to the problem of cat state manipulation.
Submission history
From: Ludovico Lami [view email][v1] Wed, 30 Sep 2020 18:21:39 GMT (922kb,D)
[v2] Wed, 5 May 2021 11:27:06 GMT (925kb,D)
[v3] Wed, 14 Dec 2022 17:50:28 GMT (929kb,D)
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