from quantumcoherence to randomness

Random numbers play an indispensable rolein modern society in various arenas of finance, cryptography, and computation. Inthe meantime, coherent superposition of quantum states is a peculiar feature ofquantum theory. In a quantum random number generator, genuine randomness can begenerated by consuming the coherence of the source. Considering individual andcoherent measurement of the correlated party, we show that the coherence offormation and the relative entropy of coherence quantify the quantum randomnessfor these two situations, respectively. Furthermore, we calculate the gapbetween the two quantum randomness, which turns out to related another quantumcorrelation --- discord.In practice, the source of randomness insuch numbers is typically a problem in a physical random number generator; the“random” seeds are not truly random and can accordingly limit cryptographicsecurity. In this talk, we shall investigate two practical semi self-testingquantum random number generation schemes: source-independent andmeasurement-device-independent. Both of them are loss-tolerant and practicalfor current technologies.