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Author

Robin Kothari

2 papers indexed here

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Preprint Sep 2026

Randomized query complexity can beat certificate complexity

A long-standing open question in query complexity asks whether there is a total Boolean function f with R(f)<<C(f), where R(f) and C(f) denote its bounded-error randomized query complexity and certificate complexity, respectively. We construct a function with R(f) = O~(sqrt{C(f)}), which is optimal up to log factors. T...

S. Ben-David, Robin Kothari · 1 citation · ⚡1
Preprint Sep 2026

An Optimal Quantum Linear Systems Algorithm

In the quantum linear systems problem (QLSP), we are given query access to a $d$-sparse $N\times N$ matrix $A$ with condition number $\kappa$, and the ability to prepare a quantum state proportional to a vector $\vec b$. The goal is to output an $\epsilon$-approximation to the quantum state proportional to the solution...

Carlos Bravo-Prieto, A. Harrow, Robin Kothari · 2 citations · ⚡1

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