Entanglement monogamy relations of qubit systems

TL;DR

This paper explores the monogamy relations of entanglement in qubit systems, establishing new inequalities and relations for various entanglement measures in multi-qubit states.

Contribution

It introduces general monogamy inequalities for concurrence and entanglement of formation, and studies residual entanglement and its relations in multi-qubit systems.

Findings

Derived monogamy inequalities for N-qubit states

Established monogamy relation for entanglement of assistance

Analyzed relations among residual entanglement, assistance, and three tangle

Abstract

We investigate the monogamy relations related to the concurrence and the entanglement of formation. General monogamy inequalities given by the {\alpha}th power of concurrence and entanglement of formation are presented for N-qubit states. The monogamy relation for entanglement of assistance is also established. Based on these general monogamy relations, the residual entanglement of concurrence and entanglement of formation are studied. Some relations among the residual entanglement, entanglement of assistance, and three tangle are also presented.