标题： 通过常数数量的二元测量对多量子比特超 singlet Slater 状态进行鲁棒自测试 显示英文标题

标题： Robust Self-Testing of Multiqudit Supersinglet Slater States via Constant Number of Binary Measurements

摘要： 自测试是一种强大的无设备技术，它能够仅基于观察到的相关性推导出物理实验中涉及的量子态和测量形式。 尽管已经提出了许多自测试多体纠缠态的方案，但它们通常在实验上难以实现，因为随着子系统数量或局部维度的增加，其复杂性会显著提高。 在本工作中，我们引入了第一个相关类的多量子比特真实纠缠态的自测试方案，该方案每个观察者仅使用固定数量的二元测量，这显著减少了实现该方案的实验工作量。 具体而言，它使得每个观察者仅使用四个二结果测量即可实现由$d$个\textit{d}量子比特组成的多体斯莱特（或超单态）状态的自测试，这些量子比特具有奇数$d$。 此外，我们证明了我们的方案对噪声和实验不完善具有鲁棒性。 对于局部维度为偶数的系统$d$，我们还提供了该方案的一个适应版本，每个观察者仅需要$d$个二元测量。 显示英文摘要

摘要： Self-testing is a powerful device-independent technique that enables one to deduce the forms of both the quantum state and the measurements involved in a physical experiment based solely on observed correlations. Although numerous schemes for self-testing multipartite entangled states have been proposed, they are typically difficult to implement experimentally, as their complexity increases significantly with the number of subsystems or the local dimension. In this work, we introduce the first self-testing scheme of a relevant class of multiqudit genuinely entangled states that exploits only a constant number of binary measurements per observer, which significantly reduces the experimental effort to implement the scheme. Specifically, it enables the self-testing of multipartite Slater (or supersinglet) states composed of $d$ qu\textit{d}its with odd $d$ using only four two-outcome measurements per observer. Moreover, we prove that our scheme is robust to noise and experimental imperfections. For systems of even local dimension $d$, we also provide an adapted version of the scheme that requires only $d$ binary measurements per observer.