We review the criteria for separability and quantum entanglement, both in a bipartite as well as a multipartite setting. We discuss Bell inequalities, entanglement witnesses, entropic inequalities, bound entanglement and several features of multipartite entanglement. We indicate how these criteria bear on the experimental detection of quantum entanglement.

For itinerant fermionic and bosonic systems, we study ‘particle entanglement’, defined as the entanglement between two subsets of particles making up the system. We formulate the general structure of particle entanglement in many-fermion ground states, analogous to the ‘area law’ for the more usually studied entanglement between spatial regions. Basic properties of particle entanglement are unc...

We prove that any multiple-copy entanglement transformation fS. Bandyopadhyay, V. Roychowdhury, and U. Sen, Phys. Rev. A 65, 052315 s2002dg can be implemented by a suitable entanglement-assisted local transformation fD. Jonathan and M. B. Plenio, Phys. Rev. Lett. 83, 3566 s1999dg. Furthermore, we show that the combination of multiple-copy entanglement transformation and the entanglement-assiste...

In present study, the dynamics of stretching-stretching and stretching-bending entanglement in H2O are studied with considering the inherent decoherence process. It is shown that the excitation in the bending vibration can lead to the decrease of the generation rate of stretching-stretching entanglement for the non-superposed state and the degeneration of entanglement for the initial entangled ...

A system of two two-level atoms interacting with a squeezed vacuum field can exhibit stationary entanglement associated with nonclassical two-photon correlations characteristic of the squeezed vacuum field. The amount of entanglement present in the system is quantified by the well known measure of entanglement called concurrence. We find analytical formulas describing the concurrence for two id...

This paper gives a criterion for detecting the entanglement of a quantum state, and uses it to study the relationship between topological and quantum entanglement. It is fundamental to view topological entanglements such as braids as entanglement operators and to associate to them unitary operators that are capable of creating quantum entanglement. The entanglement criterion is used to explore ...

In this paper, we find the invariant for n-qubits and propose the residual entanglement for n-qubits by means of the invariant. Thus, we establish a relation between SLOCC entanglement and the residual entanglement. The invariant and the residual entanglement can be used for SLOCC entanglement classification for n-qubits. PACS numbers: 03.67.-a, 03.65.Ta, 89.70.+c

In this paper, we find the invariant for n-qubits and propose the residual entanglement for n-qubits by means of the invariant. Thus, we establish a relation between SLOCC entanglement and the residual entanglement. The invariant and the residual entanglement can be used for SLOCC entanglement classification for n-qubits. PACS numbers: 03.67.-a, 03.65.Ta, 89.70.+c

This paper gives a criterion for detecting the entanglement of a quantum state, and uses it to study the relationship between topological and quantum entanglement. It is fundamental to view topological entanglements such as braids as entanglement operators and to associate to them unitary operators that are capable of creating quantum entanglement. The entanglement criterion is used to explore ...

The quantification of multipartite entanglement is an open and very challenging problem. An exhaustive definition of bipartite entanglement exists and hinges upon the von Neumann entropy and the entanglement of formation, but the problem of defining multipartite entanglement is more difficult and no unique definition exists: different definitions tend indeed to focus on different aspects of the...