A simple class of bound entangled states based on the properties of the antisymmetric subspace

TL;DR

This paper introduces a straightforward method to construct bipartite bound entangled states using properties of symmetric and antisymmetric subspaces, extending the class of Werner states.

Contribution

It presents a novel, simple construction of bound entangled states based on antisymmetric subspace properties, expanding understanding of entanglement structures.

Findings

Constructed bipartite bound entangled states using antisymmetric subspace properties

States are positive under partial transposition, indicating undistillability

Generalizes the class of Werner states

Abstract

We provide a simple construction of bipartite entangled states that are positive under partial transposition, and hence undistillable. The construction makes use of the properties of the projectors onto the symmetric and antisymmetric subspaces of the Hilbert space of two identical systems. The resulting states can be considered as generalizations of the celebrated Werner states.