Visualization of an entangled channel spin-1 system

Abstract

Co-variance matrix formalism gives powerful entanglement criteria for continuous as well as finite dimensional systems. We use this formalism to study a mixed channel spin-1 system which is well known in nuclear reactions. A spin-j state can be visualized as being made up of 2j spinors which are represented by a constellation of 2j points on a Bloch sphere using Majorana construction. We extend this formalism to visualize an entangled mixed spin-1 system.

SU(2) invariants of symmetric qubit states

“…For p < 1, the state is seperable for a range of values of θ. It is observed that as p decreases, the region of θ for which entanglement appears also decreases [16].…”