Detecting Tripartite Steering via Quantum Entanglement

TL;DR

This paper introduces new criteria for detecting tripartite and genuine tripartite steerability in three-qubit quantum states by linking it to entanglement properties, enabling detection without steering inequalities.

Contribution

The authors establish a novel connection between tripartite steerability and entanglement, providing criteria that simplify detection without inequalities.

Findings

Criteria effectively detect tripartite steerability

Detection reduces experimental complexity

Examples demonstrate power of the criteria

Abstract

Einstein-Podolsky-Rosen steering is a kind of powerful nonlocal quantum resource in quantum information processing such as quantum cryptography and quantum communication. Many criteria have been proposed in the past few years to detect steerability, both analytically and numerically, for bipartite quantum systems. We propose effective criteria for tripartite steerability and genuine tripartite steerability of three-qubit quantum states by establishing connections between the tripartite steerability (resp. genuine tripartite steerability) and the tripartite entanglement (resp. genuine tripartite entanglement) of certain corresponding quantum states. From these connections, tripartite steerability and genuine tripartite steerability can be detected without using any steering inequalities. The ``complex cost'' of determining tripartite steering and genuine tripartite steering can be reduced by detecting the entanglement of the newly constructed states in the experiment. Detailed examples are given to illustrate the power of our criteria in detecting the (genuine) tripartite steerability of tripartite states.