Entanglement verification using local unitary stabilizers

TL;DR

This paper introduces a protocol for verifying multipartite entanglement in quantum networks using local unitary stabilizers, focusing on Werner states, with minimal resource requirements.

Contribution

It develops a novel entanglement verification method based on stabilizers, specifically tailored for Werner states, enhancing efficiency in distributed quantum systems.

Findings

Protocol effectively verifies Werner state membership

Uses minimal resources for entanglement verification

Demonstrates robustness in distributed quantum networks

Abstract

Local unitary stabilizer subgroups constitute powerful invariants for distinguishing various types of multipartite entanglement. In this paper, we show how stabilizers can be used as a basis for entanglement verification protocols on distributed quantum networks using minimal resources. As an example, we develop and analyze the performance of a protocol to verify membership in the space of Werner states, that is, multi-qubit states that are invariant under the action of any 1-qubit unitary applied to all the qubits.