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Efficient Certifiable Randomness from a Single Quantum Device
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Brakerski et. al [BCM+18] introduced the model of cryptographic testing of a single untrusted quantum device and gave a protocol for certifiable randomness generation. We use the leakage resilience properties of the Learning With Errors problem to address a key issue left open in previous work - the rate of generation of randomness. Our new protocol can certify $\Omega(n)$ fresh bits of randomness in constant rounds, where $n$ is a parameter of the protocol and the total communication is $O(n)$, thus achieving a nearly optimal rate. The proof that the output is statistically random is conceptually simple and technically elementary.
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Cited by 1 Pith paper
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Genuine certifiable randomness from a black-box
The work demonstrates black-box certifiable randomness from single-particle quantum measurements without requiring a random seed.
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