Search Results for author: Robin Kothari

Found 5 papers, 0 papers with code

Optimal learning of quantum Hamiltonians from high-temperature Gibbs states

no code implementations10 Aug 2021 Jeongwan Haah, Robin Kothari, Ewin Tang

In the appendix, we show that virtually the same algorithm can be used to learn $H$ from a real-time evolution unitary $e^{-it H}$ in a small $t$ regime with similar sample and time complexity.

Unambiguous DNFs and Alon-Saks-Seymour

no code implementations16 Feb 2021 Shalev Ben-David, Mika Göös, Siddhartha Jain, Robin Kothari

We exhibit an unambiguous k-DNF formula that requires CNF width $\tilde{\Omega}(k^2)$, which is optimal up to logarithmic factors.

Computational Complexity

Simulating Hamiltonian dynamics with a truncated Taylor series

no code implementations15 Dec 2014 Dominic W. Berry, Andrew M. Childs, Richard Cleve, Robin Kothari, Rolando D. Somma

We describe a simple, efficient method for simulating Hamiltonian dynamics on a quantum computer by approximating the truncated Taylor series of the evolution operator.

Quantum Physics

Easy and hard functions for the Boolean hidden shift problem

no code implementations16 Apr 2013 Andrew M. Childs, Robin Kothari, Maris Ozols, Martin Roetteler

We study the quantum query complexity of the Boolean hidden shift problem.

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