Entanglement monogamy and entanglement evolution in multipartite systems

TL;DR

This paper investigates how entanglement is distributed and evolves in multipartite quantum systems, revealing monogamy constraints and the transfer of entanglement among cavities and reservoirs over time.

Contribution

It introduces a derived entanglement monogamy relation and analyzes the complete transfer of initial cavity entanglement to multipartite entanglement.

Findings

Entanglement evolution is restricted by a monogamy relation.

Initial cavity-cavity entanglement transfers to four-partite entanglement.

Relationship between block-block and qubit-block entanglement forms.

Abstract

We analyze the entanglement distribution and the two-qubit residual entanglement in multipartite systems. For a composite system consisting of two cavities interacting with independent reservoirs, it is revealed that the entanglement evolution is restricted by an entanglement monogamy relation derived here. Moreover, it is found that the initial cavity-cavity entanglement evolves completely to the genuine four-partite cavities-reservoirs entanglement in the time interval between the sudden death of cavity-cavity entanglement and the birth of reservoir-reservoir entanglement. In addition, we also address the relationship between the genuine block-block entanglement form and qubit-block form in the interval.