Averaged fidelity-based steering criteria

TL;DR

This paper introduces averaged fidelity as a new steering parameter and develops a general scheme for designing linear steering criteria in high-dimensional quantum systems, including continuous measurement settings.

Contribution

It presents a novel approach using averaged fidelity for steering detection and constructs linear steering inequalities for continuous measurement scenarios.

Findings

Exceeded nonsteering thresholds indicating steerability

Verified measurement incompatibility through fidelity criteria

Applied scheme to high-dimensional and continuous measurement systems

Abstract

In the present work, the averaged fidelity is introduced as the steering parameter. According to the definitions of steering from Alice to Bob, a general scheme for designing linear steering criteria is developed for a high-dimensional system. For a given set of measurements on Bob's side, two quantities, the so-called nonsteering thresholds, can be defined. If the measured averaged fidelity exceeds these thresholds, the state shared by Alice and Bob is steerable from Alice to Bob, and the measurements performed by Alice are also verified to be incompatible. Within the general scheme, we also construct a linear steering inequality when the set of measurements performed by Bob has a continuous setting. Some applications are also provided.