Analytic Tools for Harvesting Magic Resource in Curved Spacetime

TL;DR

This paper provides exact analytic results for quantum resource harvesting by a detector in curved spacetime, revealing how spacetime curvature and dimensionality influence the extractable quantum resources.

Contribution

It introduces the first exact analytic solutions for a qutrit Unruh-DeWitt detector in anti-de Sitter spacetime, advancing understanding in relativistic quantum information.

Findings

Stronger spacetime curvature reduces resource harvesting.

Higher dimensionality suppresses the amount of extractable magic.

Analytic framework applicable to various scenarios in RQI.

Abstract

The quantum vacuum is not really empty; it is a reservoir of operationally accessible non-classical resources. Understanding how to extract these resources to fuel information processing is a core objective in quantum technologies and lies at the heart of relativistic quantum information (RQI). While earlier studies of quantum resource harvesting protocols relied primarily on numerical methods, we present, for the first time, exact analytic results for the transition probability and coherence of a qutrit Unruh-DeWitt detector interacting with a scalar field in anti-de Sitter spacetime of arbitrary dimension. Leveraging these results, we analytically investigate the harvesting of non-stabilizerness and demonstrate that stronger spacetime curvature and higher dimensionality significantly suppress the amount of extractable magic resource from the vacuum. Our analytic framework is readily applicable to other scenarios, laying the groundwork for further analytic studies in RQI.