Steering maps and their application to dimension-bounded steering

TL;DR

This paper introduces steering maps, a novel method that enhances the detection of quantum steerability, especially in dimension-bounded scenarios, by leveraging entanglement detection techniques without requiring measurement descriptions.

Contribution

The paper presents steering maps as a new tool to certify steerability and extends the concept to dimension-bounded steering, broadening the scope of quantum correlation detection.

Findings

Steering maps enable certification of steerability without measurement details.

Dimension-bounded steering can be achieved with strong detection even in symmetric scenarios.

The method surpasses traditional approaches in certain experimental setups.

Abstract

The existence of quantum correlations that allow one party to steer the quantum state of another party is a counterintuitive quantum effect that has been described already at the beginning of the past century. Steering occurs if entanglement can be proven although the description of the measurements on one party is not known, while the other side is characterized. We introduce the concept of steering maps that allow to unlock the sophisticated techniques developed in regular entanglement detection to be used for certifying steerability. As an application we show that this allows to go even beyond the canonical steering scenario, enabling a generalized dimension-bounded steering where one only assumes the Hilbert space dimension on the characterized side, but no description of the measurements. Surprisingly this does not weaken the detection strength of very symmetric scenarios that have recently been carried out in experiments.