Self-testing is a method to certify quantum states and measurements in a device-independent way. The device-independent certification of quantum properties is purely based on input-output measurement statistics of the involved devices with minimal knowledge about their internal workings. Bipartite pure entangled states can be self-tested, but, in the case of multipartite pure entangled states, the answer is not so straightforward. Nevertheless, \v{S}upi\'{c} et al. recently introduced a novel self-testing method for any pure entangled quantum state, which leverages network assistance and relies on bipartite entangled measurements. Hence, their scheme loses the true device-independent flavor of self-testing. In this regard, we provide a self-testing scheme for genuine multipartite pure entangle states in the true sense by employing a generalized Hardy-type non-local argument. It is important to note that our approach involves only local operations and classical communications and it does not depend on bipartite entangled measurements and is free from any network assistance. In addition, we provide the device-independent bound of the maximum probability of success of the generalized Hardy-type nonlocality test.

翻译：自检验是一种在不依赖设备的方式下认证量子态和测量的方法。量子性质的设备无关认证纯粹基于所涉及设备的输入-输出测量统计，而对设备内部工作原理知之甚少。两体纯纠缠态可以被自检验，但对于多体纯纠缠态而言，答案并不那么直接。尽管如此，Šupić等人近期引入了一种针对任何纯纠缠量子态的新型自检验方法，该方法利用网络辅助并依赖于两体纠缠测量。因此，他们的方案失去了自检验的真正设备无关特性。针对这一点，我们通过采用广义哈代型非局域论证，提供了一种真正意义上针对真正多体纯纠缠态的自检验方案。值得注意的是，我们的方法仅涉及局域操作和经典通信，既不依赖于两体纠缠测量，也无需任何网络辅助。此外，我们给出了广义哈代型非局域性测试最大成功概率的设备无关界限。