# Communication scenario enables robust self-testing of n-party Greenberger-Horne-Zeilinger basis measurements

## TL;DR

This paper introduces a semi-device-independent method for self-testing n-qubit GHZ basis measurements using input-output statistics in a communication scenario, enabling robust verification without shared entanglement.

## Contribution

It presents a novel self-testing protocol for GHZ basis measurements that does not require shared entanglement and analyzes its robustness, including a practical protocol for partial Bell basis measurement.

## Key findings

- Protocol enables self-testing without shared entanglement
- Robustness analysis confirms reliability of the method
- Practical implementation for optical setups

## Abstract

Entangled basis measurements play a crucial role in distributing quantum entanglement between parties across a quantum network. In this work, we adopt a semi-device-independent approach that enables the self-testing of n-qubit Greenberger-Horne-Zeilinger (GHZ) basis measurements without requiring shared entanglement between distant parties. Our method relies solely on input-output statistics from a communication scenario involving n spatially separated senders, each receiving two bits of input, and a single receiver with no input. We analyze the robustness of the proposed self-testing protocol. Additionally, we introduce a protocol for robust self-testing of the three-outcome partial Bell basis measurement that is easily implementable in an optical setup.