Entanglement transference and non-inertial quantum reference frames

TL;DR

This paper explores how entanglement and coherence transfer between global and perspectival quantum reference frames, especially in non-inertial contexts, revealing conditions for entanglement preservation and implications for curved spacetime.

Contribution

It establishes conditions for entanglement transference between global and perspectival frames and applies these to non-inertial QRFs, offering new insights into entanglement degradation.

Findings

Entanglement can be decomposed into perspectival entanglement and coherence.

Entanglement degradation in non-inertial frames can be offset by increased coherence.

Insights into quantum reference frames in curved spacetime are suggested.

Abstract

Given the recent interest in perspectival quantum reference frames (QRFs), we ask how quantum properties in the perspectival picture relate to their global, non-perspectival counterparts. It is instructive to establish this link, as most known results in quantum information theory are derived in the latter context. Specifically, we find sufficient conditions under which global entanglement decomposes into a combination of perspectival entanglement and coherence -- a phenomenon that we call entanglement transference. We apply this result to non-inertial QRFs, in particular, revisiting the problem of entanglement degradation. We find that entanglement degradation in the perspectival picture can be offset by an increase in coherence resources. The non-inertial problem may also provide clues to understanding perspectival QRFs in curved spacetime.