Gaussian multipartite bound information

TL;DR

This paper proves the existence of Gaussian multipartite bound information, a classical analog of quantum bound entanglement, showing it cannot be distilled into secret keys but requires private communication for creation.

Contribution

It introduces Gaussian multipartite bound information, demonstrating its properties and relation to quantum phenomena through classical analogs and adversary information analysis.

Findings

Bound information cannot be distilled into secret keys.

Creation of bound information requires private communication.

Bound information is linked to classical analogs of quantum states.

Abstract

We demonstrate the existence of Gaussian multipartite bound information which is a classical analog of Gaussian multipartite bound entanglement. We construct a tripartite Gaussian distribution from which no secret key can be distilled, but which cannot be created by local operations and public communication. Further, we show that the presence of bound information is conditional on the presence of a part of the adversary's information creatable only by private communication. Existence of this part of the adversary's information is found to be a more generic feature of classical analogs of quantum phenomena obtained by mapping of non-classically correlated separable quantum states.