Related papers: No-broadcasting theorem for non-signalling boxes and assemblages

No-broadcasting theorem for non-signalling boxes and assemblages

URL: http://arxiv.org/abs/2211.14351v1
Date: Fri, 25 Nov 2022 19:08:28 GMT
Title: No-broadcasting theorem for non-signalling boxes and assemblages
Authors: Carlos Vieira, Adrian Solymos, Cristhiano Duarte and Zolt\'an Zimbor\'as
Abstract summary: The no-broadcasting theorem is one of the most fundamental results in quantum information theory. We prove Joshi, Grudka and Horodecki$otimes 4$ conjectured that one cannot locally broadcast nonlocal boxes.
Score: 0.0
License: http://creativecommons.org/publicdomain/zero/1.0/
Abstract: The no-broadcasting theorem is one of the most fundamental results in quantum information theory; it guarantees that the simplest attacks on any quantum protocol, based on eavesdropping and copying of quantum information, are impossible. Due to its fundamental importance, it is natural to ask whether it is an inherent quantum property or holds also for a broader class of non-classical theories. A relevant generalization is to consider non-signalling boxes. Subsequently Joshi, Grudka and Horodecki$^{\otimes 4}$ conjectured that one cannot locally broadcast nonlocal boxes. In this paper, we prove their conjecture based on fundamental properties of the relative entropy of boxes. Following a similar reasoning, we also obtain an analogous theorem for steerable assemblages.

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