Analytical construction of non local operator for n-qubit Dicke state

TL;DR

This paper proposes a simple method to detect n-qubit Dicke states using permutation symmetric Bell operators, leveraging their maximal expectation values to identify these entangled states.

Contribution

It introduces a novel, elegant approach for detecting Dicke states with permutation symmetric Bell operators, enhancing entanglement detection methods.

Findings

Maximal expectation value indicates presence of Dicke states

Method is simple and permutation symmetric

Potential for improved entanglement detection

Abstract

Entanglement in multipartite quantum systems is much more elusive than its bipartite counterpart. In recent past the usefulness of multipartite entangled states in several information theoretic tasks have been demonstrated. Being a resource, the detection of multipartite entanglement is an imperative necessity. Among the different classes of multipartite entangled states the Dicke state has found importance in several tasks due to its permutation symmetric nature. In this work we propose a simple and elegant way of detecting n qubit Dicke states using permutation symmetric Bell operators. We conjecture that maximal expectation value of the operator corresponds to the detection of Dicke states.