Modular Entanglement

TL;DR

This paper introduces the concept of modular entanglement, analyzing how entanglement between system endpoints scales and saturates, with implications for quantum communication and entanglement sharing.

Contribution

It defines modular entanglement and explores its scaling behavior, providing insights for optimizing quantum repeaters and entanglement distribution.

Findings

End-to-end modular entanglement scales in the thermodynamic limit.

Entanglement rapidly saturates with the number of moduli.

Mechanisms for entanglement onset and optimization are clarified.

Abstract

We introduce and discuss the concept of modular entanglement. This is the entanglement that is established between the end points of modular systems composed by sets of interacting moduli of arbitrarily fixed size. We show that end-to-end modular entanglement scales in the thermodynamic limit and rapidly saturates with the number of constituent moduli. We clarify the mechanisms underlying the onset of entanglement between distant and non-interacting quantum systems and its optimization for applications to quantum repeaters and entanglement distribution and sharing.