The one-way unlocalizable quantum discord

TL;DR

This paper introduces the concept of one-way unlocalizable quantum discord, explores its properties, and establishes inequalities and relations with other quantum correlations in multipartite systems.

Contribution

It defines and analyzes the one-way unlocalizable quantum discord, providing new inequalities, tradeoff relations, and expressions in terms of entanglement and disturbance.

Findings

Polygamy inequality for one-way unlocalizable quantum discord in tripartite systems.

Tradeoff relations between quantum discord and other correlations.

Lower bound for bipartite shareability of quantum correlations.

Abstract

In this paper, we present the concept of the one-way unlocalizable quantum discord and investigate its properties. We provide a polygamy inequality for it in tripartite pure quantum system of arbitrary dimension. Several tradeoff relations between the one-way unlocalizable quantum discord and other correlations are given. If the von Neumann measurement is on a part of the system, we give two expressions of the one-way unlocalizable quantum discord in terms of partial distillable entanglement and quantum disturbance. Finally, we also provide a lower bound for bipartite shareability of quantum correlation beyond entanglement in a tripartite system.