Certifying single-system steering for quantum information processing

TL;DR

This paper develops efficient criteria to certify quantum steering in single qudits and EPR scenarios, with applications in quantum communication, computation, and security, advancing the verification of quantum resources.

Contribution

It introduces novel steering conditions for single-system and EPR steering, enabling unambiguous detection and broad applications in quantum information processing.

Findings

Conditions certify steerability in single qudits.

Criteria distinguish quantum from classical mimicry.

Applications include secure quantum communication and quantum gate evaluation.

Abstract

Einstein-Podolsky-Rosen (EPR) steering describes how different ensembles of quantum states can be remotely prepared by measuring one particle of an entangled pair. Here, we investigate quantum steering for single quantum d-dimensional systems (qudits) and devise efficient conditions to certify the steerability therein, which are applicable both to single-system steering and EPR steering. In the single-system case our steering conditions enable the unambiguous ruling-out of generic classical means of mimicking steering. Ruling out false-steering scenarios has implications for securing channels against both cloning-based individual attack and coherent attacks when implementing quantum key distribution using qudits. We also show that these steering conditions also have applications in quantum computation, in that they can serve as an efficient criterion for the evaluation of quantum logic gates of arbitrary size. Finally, we describe how the non-local EPR variant of these conditions also function as tools for identifying faithful one-way quantum computation, secure entanglement-based quantum communication, and genuine multipartite EPR steering.