English

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

Quantum Physics 2024-09-18 v1

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.

Keywords

Cite

@article{arxiv.2409.10546,
  title  = {How to improve the semicontinuity bounds in [Lett. Math. Phys., 113, 121 (2023)]},
  author = {M. E. Shirokov},
  journal= {arXiv preprint arXiv:2409.10546},
  year   = {2024}
}

Comments

10 pages, any comments are welcome