Genuine Multiparty Quantum Entanglement Suppresses Multiport Classical Information Transmission

TL;DR

This paper reveals a fundamental trade-off between the amount of classical information that can be transmitted through a multiparty quantum channel and the genuine multipartite entanglement of the shared quantum state, applicable to all pure and mixed states.

Contribution

It establishes a universal complementarity relation linking classical information capacity and multipartite entanglement for arbitrary quantum states in multiport dense coding.

Findings

The relation applies to any pure or mixed quantum state.

It holds for any number of parties and dimensions.

It provides a fundamental limit on information transfer based on entanglement.

Abstract

We establish a universal complementarity relation between the capacity of classical information transmission by employing a multiparty quantum state as a multiport quantum channel, and the genuine multipartite entanglement of the quantum state. The classical information transfer is from a sender to several receivers by using the quantum dense coding protocol with the multiparty quantum state shared between the sender and the receivers. The relation holds for arbitrary pure or mixed quantum states of an arbitrary number of parties in arbitrary dimensions.