One-way Einstein-Podolsky-Rosen steering beyond qubits

TL;DR

This paper introduces a family of higher-dimensional quantum states exhibiting one-way steering, providing methods to characterize and experimentally validate this phenomenon in systems beyond qubits.

Contribution

It extends the concept of one-way quantum steering to higher-dimensional systems and offers a numerical and experimental framework for its analysis.

Findings

Validated one-way steerability in two-qutrit systems.

Developed a numerical approach for higher-dimensional steering characterization.

Analyzed the impact of experimental losses on steering detection.

Abstract

Quantum steering has been exploited as an important resource in modern quantum information processing. Owing to its directional nature, some quantum states that are asymmetric under the exchange of parties have been found to manifest steering only in specific direction, thus called one-way steering. Existing works focused on one-way steering in systems of qubits. Here we propose a family of two-party states that are one-way steerable in systems of $d$-dimension. In particular, we validate the one-way steerability of the states for $d=3$, and demonstrate how one-way steering parameter space manifests in two-qutrit system. A general numerical approach for characterizing higher-dimensional one-way steering is provided. Moreover, we develop a method to characterize one-way steering with the experimental loss taken into account, with which the tradeoff relation between losses and measurement settings in steering test in higher-dimensional system is investigated. Our loss-counted model works for finite-dimensional system with finite measurement settings.