Multipartite distribution property of one way discord beyond measurement

TL;DR

This paper explores how one way discord, a measure of quantum correlations, distributes in multipartite systems by introducing polygamy deficits, revealing conditions for its shareability beyond measurement.

Contribution

It introduces the concept of polygamy deficit for one way discord and analyzes its distribution properties in multipartite quantum systems, extending understanding beyond measurement.

Findings

Polygamy deficits for one way discord are defined and interpreted.

Conditions for one way discord polygamy in four-partite states are provided.

Results enhance understanding of quantum correlation shareability in multipartite systems.

Abstract

We investigate the distribution property of one way discord in multipartite system by introducing the concept of polygamy deficit for one way discord. The difference between one way discord and quantum discord is analogue to the difference between entanglement of assistance and entanglement of formation. For tripartite pure states, two kinds of polygamy deficits are presented with the equivalent expressions and physical interpretations regardless of measurement. For four-partite pure states, we provide a condition which makes one way discord polygamy being satisfied. Those results can be applicable to multipartite quantum systems and are complementary to our understanding of the shareability of quantum correlations.