One parameter family of indecomposable optimal entanglement witnesses arising from generalized Choi maps

TL;DR

This paper proves that a certain family of entanglement witnesses derived from generalized Choi maps are both optimal and indecomposable, confirming a recent conjecture and expanding understanding of entanglement detection.

Contribution

It establishes that the entanglement witnesses from generalized Choi maps form a one-parameter family of indecomposable optimal witnesses, confirming a prior conjecture.

Findings

Confirmed the optimality of entanglement witnesses from generalized Choi maps.

Established that these witnesses form a one-parameter family.

Proved their indecomposability and optimality.

Abstract

In the recent paper [Chru\'{s}ci\'{n}ski and Wudarski, arXiv:1105.4821], it was conjectured that the entanglement witnesses arising from some generalized Choi maps are optimal. We show that this conjecture is true. Furthermore, we show that they provide a one parameter family of indecomposable optimal entanglement witnesses.