Strong monogamy of multi-party quantum entanglement for partially coherently superposed states

TL;DR

This paper demonstrates that the strong monogamy inequality of multi-party quantum entanglement, measured by SCREN, holds for a broad class of partially coherent superposed states, highlighting SCREN's effectiveness.

Contribution

It establishes the validity of strong monogamy inequalities using SCREN for a new class of multi-qudit states involving partial coherence.

Findings

SCREN satisfies monogamy inequality for these states

SCREN satisfies strong monogamy inequality for these states

SCREN is effective for characterizing multi-qudit entanglement monogamy

Abstract

We provide an evidence for the validity of strong monogamy inequality of multi-party quantum entanglement using square of convex-roof extended negativity(SCREN). We first consider a large class of multi-qudit mixed state that are in a partially coherent superposition of a generalized W-class state and the vacuum, and provide some useful properties about this class of states. We show that monogamy inequality of multi-qudit entanglement in terms of SCREN holds for this class of states. We further show that SCREN strong monogamy inequality of multi-qudit entanglement also holds for this class of states. Thus SCREN is a good alternative to characterize the monogamous and strongly monogamous properties of multi-qudit entanglement.