A review on the questions of spin and spin quantum correlations in the relativistic regime

TL;DR

This review explores the complex issues of defining and understanding spin and spin quantum correlations in relativistic quantum information, highlighting recent developments, paradoxes, and the extension of non-relativistic concepts to relativistic frameworks.

Contribution

It provides a comprehensive overview of recent studies on relativistic spin and quantum correlations, addressing unresolved issues and extending quantum information concepts to relativistic regimes.

Findings

Analysis of spin characterization in inertial frames

Discussion of apparent paradoxes in relativistic spin correlations

Extension of quantum information tools like secret sharing to relativistic contexts

Abstract

The majority of current understanding of the quantum correlations is in the field of non-relativistic quantum mechanics. To develop quantum information and computation tasks fully, one must inevitably take into account the relativistic effects. In this regard, the spin is one of the central tools. For this purpose, it is of paramount importance to understand and characterize fully the theory of spin in relativistic quantum information theory where the spin states act as qubit. This area is still far from being resolved. As a result, this article will explore the recent studies of the concepts of the spin and spin quantum correlations in inertial frames and some apparent paradoxes regarding this concept. We will mainly focus on the problem of characterizing the spin, reduced spin density matrices and spin quantum correlations in inertial reference frames and the apparent paradoxes involved therein. Another important aspect is the use of tools of quantum field theory to extend several concepts in non-relativistic domain to relativistic one. In this regard, we analyze the development of the theory of relativistic secret sharing and a correlation measure namely the entanglement of purification.