Strong monogamy conjecture for multiqubit entanglement: The four-qubit case

TL;DR

This paper introduces stronger monogamy inequalities for multiqubit entanglement, providing analytical proofs for certain states and extensive numerical validation for four-qubit pure states, advancing understanding of entanglement distribution.

Contribution

It proposes and validates a set of sharpened monogamy inequalities for multiqubit entanglement, extending the conventional constraints.

Findings

Analytical proofs for specific classes of states.

Numerical evidence supporting the inequalities for four-qubit pure states.

Enhanced understanding of entanglement sharing constraints.

Abstract

We investigate the distribution of bipartite and multipartite entanglement in multiqubit states. In particular we define a set of monogamy inequalities sharpening the conventional Coffman-Kundu-Wootters constraints, and we provide analytical proofs of their validity for relevant classes of states. We present extensive numerical evidence validating the conjectured strong monogamy inequalities for arbitrary pure states of four qubits.