A note on "A Matrix Realignment Method for Recognizing Entanglement," quant-ph/0205017 v1

TL;DR

This paper clarifies that a recently proposed matrix realignment criterion for entanglement detection is equivalent to a previously established cross norm criterion, highlighting redundancy in the methods used for recognizing quantum entanglement.

Contribution

It demonstrates the equivalence between the matrix realignment criterion and the cross norm criterion, unifying two approaches in quantum entanglement recognition.

Findings

The realignment criterion is identical to the cross norm criterion.

This equivalence simplifies understanding of entanglement criteria.

Clarifies the relationship between two previously distinct methods.

Abstract

In quant-ph/0205017 v1 Chen, Wu and Yang formulated a necessary separability criterion based on a realignment method for matrices. This note is to point out that this criterion is identical to the necessary cross norm criterion previously put forward by this author.