Separability and entanglement of spin $1$ particle

Abstract

We define the separability and entanglement notion for particle with spin $s=1$. We consider two cases. In the first the particle is composed of two fermions with $s_1=1/2$ and $s_2=1/2$. In the second case the state is the qutrit state which is not composed system. The notion of negativity and concurrence is defined for the qutrit state. The concurrence and negativity of entangled and separable qutrit states determined by the parameters of the density matrix are explicitly calculated. The maximum entanglement of the qutrit state is observed for maximum values of non diagonal matrix elements of the density matrix. New entropic inequalities for the density matrix of the qutrit state are obtained.

10 pages, 3 figures, submitted to Journal of Quantum Information & Computation

References in corpus (4)

• A simple test for hidden variables in spin-1 system
• Subadditivity condition for spin-tomograms and density matrices of arbitrary composite and noncomposite qudit systems
• Separability and entanglement of the qudit X-state with j = 3/2
• New inequalities for quantum von Neumann and tomographic mutual information

Cited by in corpus (2)

• New Minkowski type inequalities and entropic inequalities for quantum states of qudits
• Discretization of the density matrix as a nonlinear positive map and entanglement