自检验环面码对抗经典通信

中文摘要 AI 辅助

设备无关的自检验仅根据多体量子态产生的关联来认证该量子态，无需对设备内部工作原理作任何假设。然而，大多数现有的自检验方案在各方能够交换消息时即失效。我们考虑量子网络中的一种放宽设置：在协议诚实版本中，各方从不通信，但即使在不信任情况下——即不信任设备在网络上有限距离内秘密交换经典消息——认证仍然可靠。我们证明，环面码的码空间分布在一个具有环面几何结构的网络上，可以在该设置下以噪声鲁棒的方式进行自检验，对抗距离与网络直径成比例的通信。我们还开发了一种构建此类协议的算法方法，并将我们的结果扩展到表面码和簇态，这些结果对一轮最近邻经典通信具有鲁棒性。

英文摘要

Device-independent self-testing certifies a multipartite quantum state from the correlations it produces alone, without assumptions on the inner workings of the devices. Most existing self-tests, however, break down as soon as the parties can exchange messages. We consider a relaxed setting in a quantum network, where in the honest version of the protocol, the parties never communicate, yet certification remains sound even in an untrusted case where the untrusted devices secretly exchange classical messages within a bounded distance in the network. We show that the code space of the toric code, distributed over a network with the geometry of a torus, can be self-tested in this setting in a noise-robust way, against communication up to distances proportional to the network diameter. We also develop an algorithmic method for constructing such protocols and extend our results to the surface code and cluster states, robust to one round of nearest-neighbor classical communication

发表机构

• École polytechnique, Institut Polytechnique de Paris（巴黎综合理工学院，巴黎理工学院）
• Télécom Paris, Institut Polytechnique de Paris（巴黎电信学院，巴黎理工学院）
• Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas（格列布·瓦塔金物理研究所，坎皮纳斯州立大学）
• Nokia Bell Labs（诺基亚贝尔实验室）

机构由 AI 辅助整理，请以论文原文为准。