Self-testing of genuine multipartite entangled states without network assistance

We study the self-testing problem of quantum correlations in the context of a multipartite scenario, a task that becomes increasingly complex compared to the bipartite systems. Recently, [Šupić et al., Nat. Phys. 19, 670 (2023)] introduced a novel self-testing method for pure multipartite entangled states, which leverages network assistance and relies on bipartite entangled measurements. Hence, their scheme loses the ideal device-independent nature of self-testing. To address this, we provide a self-testing scheme for genuine multipartite entanglement in the true sense. Our approach utilizes a generalized Hardy-type nonlocality argument and requires only local operations, eliminating the need for network assistance or bipartite entangled measurements. Furthermore, we establish a device-independent bound for the maximum probability of success for a generalized Hardy-type argument. This paves the way for reliable and efficient self-testing of quantum correlations without relying on additional resources.