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. Our scheme involves only local operations and classical communications and 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 for generalized Hardy-type nonlocality argument.

翻译：自检验是一种以设备无关方式验证量子态和测量的方法。量子特性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，且对其内部工作机制知之甚少。两体纯纠缠态可被自检验，但多体纯纠缠态的情况则不那么直接。尽管如此，Šupić等人最近提出了一种适用于任意纯纠缠量子态的新型自检验方法，该方法借助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真正的设备无关特性。针对这一点，我们通过采用广义Hardy型非局域性论证，提供了一种真正意义上的真多体纯纠缠态自检验方案。我们的方案仅涉及局域操作和经典通信，不依赖两体纠缠测量，且无需任何网络辅助。此外，我们还给出了广义Hardy型非局域性论证最大成功概率的设备无关界值。