Witness for edge states and its characteristics

TL;DR

This paper introduces a new witness operator for detecting edge states in PPT entangled states, compares its efficiency with previous methods, and discusses its potential experimental implementation.

Contribution

A novel witness operator for edge states detection is proposed, with demonstrated advantages over existing operators and a discussion on its experimental realization.

Findings

The new witness operator is more effective in certain cases than previous operators.

The proposed method can be realized experimentally using Gell-Mann matrices.

The witness operator is shown to be finer than the Lewenstein et al. operator under specific conditions.

Abstract

Edge states lying at the edge of PPT entangled states have a very intriguing existence and their detection is equally interesting. We present here a new witness for detection of edge states. We then compare between our proposed witness operator and the witness operator proposed in [Physical Review A, 62, 052310 (2000)] in terms of the efficiency in the detection of PPT entangled states. In this regard we show that this operator is finer than the Lewenstein et.al. operator in some restriction. We also discuss about its experimental realization via Gell-Mann matrices.