Abstract

Randomness expansion where one generates a longer sequence of random numbers from a short one is viable in quantum mechanics but not allowed classically. Device-independent quantum randomness expansion provides a randomness resource of the highest security level. Here, we report the first experimental realization of device-independent quantum randomness expansion secure against quantum side information established through quantum probability estimation. We generate 5.47×1085.47\times10^8 quantum-proof random bits while consuming 4.39×1084.39\times10^8 bits of entropy, expanding our store of randomness by 1.08×1081.08\times10^8 bits at a latency of about 13.113.1 h, with a total soundness error 4.6×10−104.6\times10^{-10}. Device-independent quantum randomness expansion not only enriches our understanding of randomness but also sets a solid base to bring quantum-certifiable random bits into realistic applications.

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