Reply to "Comment on 'Witnessed entanglement and the geometric measure of quantum discord' "

TL;DR

This paper clarifies and corrects specific errors in a previous work on quantum discord and entanglement, reaffirming the main conclusions despite identified mistakes.

Contribution

It provides a correction to prior results, demonstrating that the main conclusions remain valid after addressing the errors.

Findings

Errors affected only a specific application, not the main results

Corrections do not invalidate the original conclusions

Clarifies the validity of previous work in quantum information

Abstract

We show that the mistakes pointed out by Rana and Parashar [Phys. Rev. A 87, 016301 (2013)] do not invalidate the main conclusion of our work [Phys. Rev. A 86, 024302 (2012)]. We show that the errors affected only a particular application of our general results, and present the correction.