We introduce a simple algebraic approach to the study of multipartite entanglement for pure states together with a class of suitable functionals able to detect the entanglement. On this basis, we reproduce some known results. Indeed, by investigating the properties of the introduced functionals, we show that a subset of such class is strictly connected to the purity. Moreover, we provide a direct and basic solution to the problem of simultaneous maximization of three appropriate functionals for three-qubit states, confirming that the simultaneous maximization of the entanglement for all possible bipartitions is compatible only with the structure of the GHZ states.

Di Martino, S., Militello, B., & Messina, A. (2013). An Algebraic Approach To The Study of Multipartite Entanglement. JOURNAL OF RUSSIAN LASER RESEARCH, 34(1), 22-32 [10.1007/s10946-013-9320-4].

An Algebraic Approach To The Study of Multipartite Entanglement

MILITELLO, Benedetto;MESSINA, Antonino
2013

Abstract

We introduce a simple algebraic approach to the study of multipartite entanglement for pure states together with a class of suitable functionals able to detect the entanglement. On this basis, we reproduce some known results. Indeed, by investigating the properties of the introduced functionals, we show that a subset of such class is strictly connected to the purity. Moreover, we provide a direct and basic solution to the problem of simultaneous maximization of three appropriate functionals for three-qubit states, confirming that the simultaneous maximization of the entanglement for all possible bipartitions is compatible only with the structure of the GHZ states.
Settore FIS/02 - Fisica Teorica, Modelli E Metodi Matematici
Settore FIS/03 - Fisica Della Materia
http://link.springer.com/article/10.1007/s10946-013-9320-4
Di Martino, S., Militello, B., & Messina, A. (2013). An Algebraic Approach To The Study of Multipartite Entanglement. JOURNAL OF RUSSIAN LASER RESEARCH, 34(1), 22-32 [10.1007/s10946-013-9320-4].
File in questo prodotto:
File Dimensione Formato  
DiMartino_lanl.pdf

non disponibili

Tipologia: Pre-print
Dimensione 285.42 kB
Formato Adobe PDF
285.42 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/75139
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact