Relative entropy of entanglement of rotationally invariant states

TL;DR

This paper computes the relative entropy of entanglement for rotationally invariant states involving spin-1/2, spin-1, and arbitrary spin-$j$ particles, providing bounds on entanglement measures.

Contribution

It introduces exact calculations of the relative entropy of entanglement for specific rotationally invariant states and establishes bounds for related entanglement measures.

Findings

Exact relative entropy of entanglement for certain spin states

Lower bounds on distillable entanglement for mixed spin states

Analytical results for rotationally invariant quantum states

Abstract

We calculate the relative entropy of entanglement for rotationally invariant states of spin-1/2 and arbitrary spin-$j$ particles or of spin-1 particle and spin-$j$ particle with integer $j$. A lower bound of relative entropy of entanglement and an upper bound of distillable entanglement are presented for rotationally invariant states of spin-1 particle and spin-$j$ particle with half-integer $j$.