How to improve the semicontinuity bounds in [Lett. Math. Phys., 113, 121 (2023)]

2024/09/01 by Shirokov, M. E.
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2409.10546

Abstract

We show how to improve the semicontinuity bounds in [1] by optimizing the proof of the basic technical lemma. In this optimization we apply the modified version of the trick used in the resent article [2]. The most important applications are the semicontinuity bound for the von Neumann entropy with the energy constraint and the semicontinuity bounds for the entanglement of formation with the rank/energy constraint.

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