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Siddhartha Jain

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Preprint Sep 2026

Certified Randomness with Optimal Rate

The generation of certified random bits is an emerging near-term application of quantum computers. Potential applications, such as randomness beacons and CRS generation, require nearly uniform randomness, whose rate (the ratio of min-entropy to bitlength) is ~ 1. However, existing protocols for certified randomness eit...

Siddhartha Jain, Saachi Mutreja, Bhaskar Roberts · 0 citations

Preprint Sep 2026

Ramanujan quantum expanders from the Weil representation

For every odd prime power $q$ and $D=q+1$, we construct an infinite family of Ramanujan quantum expanders of degree $D$. The construction transfers Morgenstern's Ramanujan Cayley graphs on $\operatorname{PSL}_2(\mathbb{F}_{p})$ for $p$ which is an even power of $q$, through the odd irreducible subrepresentation of the...

Siddhartha Jain · 0 citations