Nonlocal correlations for manifold quantum systems: Entanglement of two-spin states

TL;DR

This paper investigates bipartite entanglement in spin coherent states, providing generalized methods to detect maximal entanglement in mixed states, with implications for quantum information processing.

Contribution

It introduces a generalized approach to quantify entanglement in bipartite spin systems, including mixed states, using a simplified concurrence expression.

Findings

Maximal entanglement can be detected in certain mixed states within $su(2)$ algebra.

The approach applies to large classes of quantum systems with spin coherent states.

Results have potential applications in quantum information theory.

Abstract

In this paper, we study the bipartite entanglement of spin coherent states in the case of pure and mixed states. By a proper choice of the subsystem spins, the entanglement for large class of quantum systems is investigated. We generalize the result to the case of bipartite mixed states using a simplified expression of concurrence in Wootters' measure of the bipartite entanglement. It is found that in some cases, the maximal entanglement of mixed states in the context of $su(2)$ algebra can be detected. Our observations may have important implications in exploiting these states in quantum information theory.