Entangled multipartite systems

Ingemar Bengtsson, Karol Życzkowski

Zhao, J., Zhao, H., Naihuan Jing +1 more

We investigate genuine multipartite entanglement in general multipartite systems. Based on the norms of the correlation tensors of a multipartite state under various partitions, we present an analytical sufficient criterion for detecting the genuine four-partite entanglement. The results are generalized to arbitrary multipartite systems.

John Watrous

Hoshang Heydari

We construct quantum gate entangler for general multipartite states based on the construction of complex projective varieties. We also discuss in detail the construction of quantum gate entangler for higher dimensional bipartite and multipartite quantum systems. Moreover, we construct and discuss entangling capacity of general multipartite quantum systems.

Awais Khan, Ahmad Farooq, Youngmin Jeong +1 more

A. I. Solomon, C.-L. Ho, Gérard Duchamp

We propose a unified mathematical scheme, based on a classical tensor isomorphism, for characterizing entanglement that works for pure states of multipartite systems of any number of particles. The degree of entanglement is indicated by a set of absolute values of the determinants for each subspace of the multipartite systems. Our scheme provides a characterization of the degrees of entanglement when the qubits are measured or lost successively, and leads naturally to necessary and sufficient conditions for multipartite pure states to be separable. For systems with a large number of particles, a rougher indication of the degree of entanglement is provided by the set of mean values of the determinantal values for each subspace of the multipartite systems.