We present an implementation of a semi-device-independent protocol of the generation of quantum random numbers in a fully integrated silicon chip. The system is based on a prepare-and-measure scheme, where we integrate a partially trusted source of photons and an untrusted single photon detector. The source is a silicon photomultiplier, which emits photons during the avalanche impact ionization process, while the detector is a single photon avalanche diode. The proposed protocol requires only a few and reasonable assumptions on the generated states. It is sufficient to measure the statistics of generation and detection in order to evaluate the min-entropy of the output sequence, conditioned on all possible classical side information. We demonstrate that this protocol, previously realized with a bulky laboratory setup, is totally applicable to a compact and fully integrated chip with an estimated throughput of 6 kHz of the certified quantum random bit rate.

中文翻译：

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用于自测试量子随机数生成的光学芯片

我们提出了在完全集成的硅芯片中生成量子随机数的半独立于设备的协议的实现。该系统基于准备和测量方案，其中我们集成了部分受信任的光子源和不受信任的单光子检测器。源是硅光电倍增管，它在雪崩碰撞电离过程中发射光子，而检测器是单光子雪崩二极管。所提出的协议仅需要对生成状态进行一些合理的假设。测量生成和检测的统计信息足以评估输出序列的最小熵，并以所有可能的经典辅助信息为条件。我们证明了该协议，以前是通过庞大的实验室设置实现的，