Indecomposable optimal entanglement witnesses in C4 {\otimes} C4

TL;DR

This paper introduces two parameterized families of indecomposable entanglement witnesses in a 4x4 quantum system, demonstrating their optimality and effectiveness in detecting entanglement, including within certain generalized states.

Contribution

The paper presents new indecomposable optimal entanglement witnesses in C4 ⊗ C4, expanding tools for entanglement detection in quantum information theory.

Findings

The EWs are proven to be optimal.

They detect entanglement in generalized Horodecki states.

The families are parameterized, offering flexible detection methods.

Abstract

We provide two 1-parameter families of indecomposable entanglement witnesses in C4 {\otimes} C4. Following recent paper by Ha and Kye [Phys. Rev. A 84, 024302 (2011)] we show that these EWs are optimal and hence provide the strongest tool in entanglement theory to discriminate between separable and entangled states. As a byproduct we show that these EWs detect quantum entanglement within a family of generalized Horodecki states.