Detection and typicality of bound entangled states

TL;DR

This paper introduces an analytic estimate for quantifying entanglement in bipartite quantum states, particularly identifying bound entangled states, and numerically explores their volume in a specific quantum system.

Contribution

It provides an explicit analytic lower bound for concurrence applicable to bound entangled states and numerically characterizes their volume in 3x3 systems.

Findings

Derived an analytic concurrence lower bound for bound entangled states

Numerically constructed the volume of 3x3 bound entangled states

Extended entanglement estimates into bound entanglement regions

Abstract

We derive an explicit analytic estimate for the entanglement of a large class of bipartite quantum states which extends into bound entanglement regions. This is done by using an efficiently computable concurrence lower bound, which is further employed to numerically construct a volume of $3 \times 3$ bound entangled states.