Polynomial Monogamy Relations for Entanglement Negativity

Monogamy of Correlations vs. Monogamy of Entanglement

A fruitful way of studying physical theories is via the question whether the possible physical states and different kinds of correlations in each theory can be shared to different parties. Over the past few years it has become clear that both quantum entanglement and non-locality (i.e., correlations that violate Bell-type inequalities) have limited shareability properties and can sometimes even...

On a Block Matrix Inequality quantifying the Monogamy of the Negativity of Entanglement

We convert a conjectured inequality from quantum information theory, due to He and Vidal, into a block matrix inequality and prove a very special case. Given n matrices Ai, i = 1, . . . , n, of the same size, let Z1 and Z2 be the block matrices Z1 := (AjA ∗ i ) n i,j=1 and Z2 := (A ∗ jAi) n i,j=1. Then the conjectured inequality is (||Z1||1 − TrZ1) + (||Z2||1 − TrZ2) ≤ ∑ i̸=j ||Ai||2||Aj ||2 ...

General monogamy inequality for bipartite qubit entanglement.

We consider multipartite states of qubits and prove that their bipartite quantum entanglement, as quantified by the concurrence, satisfies a monogamy inequality conjectured by Coffman, Kundu, and Wootters. We relate this monogamy inequality to the concept of frustration of correlations in quantum spin systems.

General monogamy relations of quantum entanglement for multiqubit W-class states

Multipartite entanglement indicators based on monogamy relations of n-qubit symmetric states

Constructed from Bai-Xu-Wang-class monogamy relations, multipartite entanglement indicators can detect the entanglement not stored in pairs of the focus particle and the other subset of particles. We investigate the k-partite entanglement indicators related to the αth power of entanglement of formation (αEoF) for k ≤ n, αϵ and n-qubit symmetric states. We then show that (1) The indicator based ...