Degrees of entanglement for multipartite systems

Autor:	Solomon, A. I., Ho, C. -L., Duchamp, G. H. E.
Rok vydání:	2012
Předmět:	Quantum Physics Mathematical Physics Mathematics - Rings and Algebras
Zdroj:	J. Phys. A: Math. Theor. 46 (2013) 075302
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8113/46/7/075302
Popis:	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. Unlike other schemes, our scheme provides indication of the degrees of entanglement when the qubits are measured or lost successively, and leads naturally to the 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. Comment: 12 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1205.4958 Zobrazit plný text záznamu View this record from Arxiv