Unified monogamy relation of entanglement measures

TL;DR

This paper introduces a unified monogamy inequality applicable to all entanglement measures in qubit systems, providing a comprehensive framework that enhances understanding of entanglement distribution in quantum information processing.

Contribution

It proposes a general monogamy inequality covering various entanglement measures and extends to high-dimensional states, unifying and tightening existing bounds.

Findings

Unified monogamy inequality for multiple entanglement measures

Tightened inequalities for multipartite systems

Generic results for high-dimensional entangled states

Abstract

The monogamy of quantum entanglement captures the property of limitation in the distribution of entanglement. Various monogamy relations exist for different entanglement measures that are important in quantum information processing. Our goal in this work is to propose a general monogamy inequality for all entanglement measures on entangled qubit systems. The present result provide a unified model for various entanglement measures including the concurrence, the negativity, the entanglement of formation, Tsallis-q entropy, Renyi-q entropy, and Unified-(q,s) entropy. We then proposed tightened monogamy inequalities for multipartite systems. We finally prove a generic result for the tangle of high-dimensional entangled states to show the distinct feature going beyond qubit systems. These results are useful for exploring the entanglement theory, quantum information processing and secure quantum communication.