Visualisation of an entangled channel spin-1 system

TL;DR

This paper extends the covariance matrix formalism to visualize entangled mixed spin-1 systems, providing a new method to analyze entanglement in nuclear reaction contexts using Majorana constellation representations.

Contribution

It introduces a novel visualization approach for entangled mixed spin-1 systems based on covariance matrices and Majorana construction.

Findings

Extended formalism for visualizing entangled spin-1 systems.

Application to nuclear reaction related mixed states.

Enhanced understanding of entanglement structure in spin systems.

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.