论文标题
在准备和测量方案中的量子位认证，并具有大型输入字母，并与Grothendieck常数进行连接
Certification of qubits in the prepare-and-measure scenario with large input alphabet and connections with the Grothendieck constant
论文作者
论文摘要
我们使用大量的准备工作和大量的测量设置，以及二进制结果测量值来解决在准备和测量方案中测试二维系统量子性的问题。在这种情况下，我们引入常数，该常数与订单3的Grothendieck常数有关。我们将它们与制备量子器的白噪声阻力以及所执行的测量值的临界检测效率相关联。大规模数值工具用于绑定常数。这使我们能够在最低检测效率上获得新的界限，该效率具有70份制剂和70个测量设置可以容忍的设置。
We address the problem of testing the quantumness of two-dimensional systems in the prepare-and-measure (PM) scenario, using a large number of preparations and a large number of measurement settings, with binary outcome measurements. In this scenario, we introduce constants, which we relate to the Grothendieck constant of order 3. We associate them with the white noise resistance of the prepared qubits and to the critical detection efficiency of the measurements performed. Large-scale numerical tools are used to bound the constants. This allows us to obtain new bounds on the minimum detection efficiency that a setup with 70 preparations and 70 measurement settings can tolerate.
