Eur. Phys. J. D 61, 513-521 (2011)
https://doi.org/10.1140/epjd/e2010-10479-1

Maximal entanglement of bipartite spin states in the context of quantum algebra

¹ Institut für Angewandte Physik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
² Laboratoire de Physique Théorique, Faculté des Sciences, Université Mohammed V-Agdal, Av. Ibn Battouta, B.P. 1014, Agdal Rabat, Morocco

Corresponding author: ^a berradakamal2006@gmail.com

Received: 31 August 2010
Revised: 27 October 2010
Published online: 3 December 2010

Abstract

In the framework of the U_q (su(2)) quantum algebra, we investigate the entanglement properties of two-spin systems, of arbitrary spins j₁ and j₂, defined in an entanglement of deformed spin coherent states of each of the spins. We derive the amount of entanglement and we give conditions under which bipartite entangled states become maximally entangled. Using these conditions, we construct a large class of Bell states for any choices of the parameters that specify the spin coherent states.