Maximally dense coding capable quantum states

TL;DR

This paper establishes a complementarity relation between dense coding capacity and multiparty quantum correlations in three-qubit pure states, identifying a family of states that optimize dense coding for given quantum correlations.

Contribution

It introduces the maximally dense coding capable family of states, revealing states that maximize dense coding capacity for fixed quantum correlations.

Findings

Identified a one-parameter family of states with maximal dense coding capacity.

Established a complementarity relation between dense coding capacity and quantum correlations.

Demonstrated the states' optimality among three-qubit pure states.

Abstract

A complementarity relation is established between the capacity of multiport classical information transmission via quantum states and multiparty quantum correlation measures for three-qubit pure states. The multiparty quantum correlation measures considered are the generalized geometric measure, the tangle, and the discord monogamy score. The complementarity relation is revealed by the identification of a one-parameter family of pure three-qubit states, which we call the maximally dense coding capable family of states. These states have the maximal multiport dense coding capacity among all three-qubit pure states with an arbitrary fixed amount of the multiparty quantum correlations.