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20092026
most citedSimulating Hamiltonian dynamics with a truncated Taylor series

779 citations · 2.6k across the 35 of their papers we have counts for

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33 papers · 1 filter

quant-ph2026

An Optimal Quantum Linear Systems Algorithm

Carlos Bravo-Prieto, Aram W. Harrow, Robin Kothari

In the quantum linear systems problem (QLSP), we are given query access to a -sparse matrix with condition number , and the ability to prepare a quantum state…

quant-ph2023★ 55 cited

Exponential quantum speedup in simulating coupled classical oscillators

Ryan Babbush, Dominic W. Berry, Robin Kothari +2

We present a quantum algorithm for simulating the classical dynamics of coupled oscillators (e.g., masses coupled by springs). Our approach leverages a mapping between…

quant-ph2023★ 25 cited

Query-optimal estimation of unitary channels in diamond distance

Jeongwan Haah, Robin Kothari, Ryan O'Donnell +1

We consider process tomography for unitary quantum channels. Given access to an unknown unitary channel acting on a -dimensional qudit, we aim to output a classical des…

quant-ph2022★ 3 cited

Quantum divide and conquer

Andrew M. Childs, Robin Kothari, Matt Kovacs-Deak +2

The divide-and-conquer framework, used extensively in classical algorithm design, recursively breaks a problem of size into smaller subproblems (say, copies of size e…

quant-ph2022★ 3 cited

Mean estimation when you have the source code; or, quantum Monte Carlo methods

Robin Kothari, Ryan O'Donnell

Suppose is a real random variable, and one is given access to ``the code'' that generates it (for example, a randomized or quantum circuit whose output is $\boldsy…

quant-ph2021★ 13 cited

Quantum Algorithms for Reinforcement Learning with a Generative Model

Daochen Wang, Aarthi Sundaram, Robin Kothari +2

Reinforcement learning studies how an agent should interact with an environment to maximize its cumulative reward. A standard way to study this question abstractly is to ask how ma…