Harvesting stabilizer entropy and non-locality from a quantum field

TL;DR

This paper demonstrates how to extract non-stabilizer quantum resources, specifically non-local stabilizer entropy, from the vacuum of a quantum field using accelerated detectors, highlighting the interplay between entanglement and non-stabilizer resources.

Contribution

It introduces a method to harvest non-local stabilizer entropy from a quantum field, expanding the understanding of quantum resource extraction beyond entanglement.

Findings

Non-local SRE can be harvested from the vacuum state.

Local stabilizer measurements do not violate CHSH inequalities.

Harvested non-local SRE is unaffected by local unitaries.

Abstract

The harvesting of quantum resources from the vacuum state of a quantum field is a central topic in relativistic quantum information. While several proposals for the harvesting of entanglement from the quantum vacuum exist, less attention has been paid to other quantum resources, such as non-stabilizerness, commonly dubbed {\em magic} and quantified by the Stabilizer R\'enyi Entropy (SRE). In this work, we show how to harvest SRE from the vacuum state of a massless field using accelerated Unruh-DeWitt detectors in Minkowski spacetime. In particular, one can harvest a particular non-local form of SRE that cannot be erased by local unitary operations. This non-local SRE is a fundamental quantity to study the interplay between entanglement and non-stabilizer resources. We conclude our work with an analysis of the CHSH inequalities: when restricting to stabilizer measurements, i.e. Pauli measurements, one cannot extract a violation from the quantum field.