发表机构
Ruhr University Bochum; LMU Munich; MCQST; Bocconi University（鲁尔大学波鸿分校; 慕尼黑大学; 量子科学与技术中心; 博科尼大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过Grothendieck博弈首次实现了Majorana算子生成连续测量族的鲁棒自我测试，并扩展到Majorana观测量乘积，认证了连续pin群的自旋表示。
AI 中文摘要
自我测试仅凭观测到的关联即可认证量子态和测量，无需描述产生它们的设备。在本工作中，我们建立了（据我们所知）首个对由Majorana算子生成的完整连续测量族的鲁棒自我测试。我们通过证明Grothendieck博弈——一个双人非局域博弈，其中玩家在球面上接收方向并返回二进制答案——是Majorana观测量的自我测试来实现这一点。也就是说，任何接近最优的表现都能认证整个连续参数化的量子测量族。我们进一步将此认证扩展到Majorana观测量的乘积，从而获得连续pin群的自旋表示的鲁棒自我测试。
英文摘要
Self-testing certifies quantum states and measurements from observed correlations alone, without requiring a description of the devices that produce them. In this work we establish, to the best of our knowledge, the first robust self-test of the full continuous family of measurements generated by Majorana operators. We achieve this by showing that the Grothendieck game, a two-player nonlocal game in which the players receive directions on a sphere and return binary answers, is a self-test of Majorana observables. That is, any near-optimal performance certifies an entire continuously parameterized family of quantum measurements. We further extend this certification to products of Majorana observables, obtaining a robust self-test of the spin representation of the continuous pin group.
