Local Broadcasting of Quantum Correlations

TL;DR

This paper explores the fundamental limitations of locally redistributing quantum correlations, especially in the context of local broadcasting, highlighting no-go theorems and quantifying non-classicality.

Contribution

It provides a detailed analysis of the constraints on local broadcasting of quantum correlations and introduces measures of non-classicality based on approximate broadcasting capabilities.

Findings

No-go theorems restrict local broadcasting of quantum correlations.

Quantitative measures of non-classicality relate to broadcasting feasibility.

Limitations differ between classical and quantum correlation redistribution.

Abstract

Operations that are trivial in the classical world, like accessing information without introducing any change or disturbance, or like copying information, become non-trivial in the quantum world. In this note we discuss several limitations in the local redistributing correlations, when it comes to dealing with bipartite quantum states. In particular, we focus on the task of local broadcasting, by discussing relevant no-go theorems, and by quantifying the non-classicality of correlations in terms of the degree to which local broadcasting is possible in an approximate fashion.