Reply to Comment on "Wigner rotations and an apparent paradox in relativistic quantum information"

TL;DR

This paper clarifies misconceptions about applying Wigner rotations in relativistic quantum information, reaffirming the importance of proper physical interpretation and addressing a previously identified paradox.

Contribution

The authors defend their original conclusion by clarifying the correct application of Wigner rotations and resolving a paradox related to a single relativistic particle.

Findings

Linear application of Wigner rotations does not cause instantaneous information transfer.

A paradox involving a single relativistic particle was identified and resolved.

Proper physical interpretation is essential for applying Wigner rotations in relativistic quantum states.

Abstract

As Lanzagorta and Crowder have shown in their Comment [Phys. Rev. A 96, 026101 (2017)], the linear application of the Wigner rotations to the quantum state of two massive relativistic particles does not entail the instantaneous transmission of information as we concluded in our paper [Phys. Rev. A 87, 042102 (2013)]. But in the new version of our paper in arXiv [arXiv:1303.4367v2] we show (and solve) another paradox that is generated by the linear application of the Wigner rotations to a system with a single relativistic particle. So the conclusion of our paper that we cannot in general linearly apply the Wigner rotations to the quantum state of a relativistic particle without considering the appropriate physical interpretation is still valid, although the paradox presented in that paper is inappropriate.