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20212024
most citedChallenges for quantum computation of nonlinear dynamical systems using linear representations

16 citations · 26 across the 5 of their papers we have counts for

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5 papers

quant-ph2024

Quantum Approximate Counting with Additive Error: Hardness and Optimality

Mason L. Rhodes, Sam Slezak, Anirban Chowdhury +1

Quantum counting is the task of determining the dimension of the subspace of states that are accepted by a quantum verifier circuit. It is the quantum analog of counting the number…

quant-ph2023

Randomized adiabatic quantum linear solver algorithm with optimal complexity scaling and detailed running costs

David Jennings, Matteo Lostaglio, Sam Pallister +2

Solving linear systems of equations is a fundamental problem with a wide variety of applications across many fields of science, and there is increasing effort to develop quantum li…

quant-ph2022★ 16 cited

Challenges for quantum computation of nonlinear dynamical systems using linear representations

Yen Ting Lin, Robert B. Lowrie, Denis Aslangil +2

A number of recent studies have proposed that linear representations are appropriate for solving nonlinear dynamical systems with quantum computers, which fundamentally act linearl…

quant-ph2021★ 1 cited

On nonlinear transformations in quantum computation

Zoë Holmes, Nolan Coble, Andrew T. Sornborger +1

While quantum computers are naturally well-suited to implementing linear operations, it is less clear how to implement nonlinear operations on quantum computers. However, nonlinear…

quant-ph2021★ 9 cited

Dissipative dynamics of a particle coupled to field via internal degrees of freedom

Kanupriya Sinha, Adrián Ezequiel Rubio López, Yiğit Subaşı

We study the non-equilibrium dissipative dynamics of the center of mass of a particle coupled to a field via its internal degrees of freedom. We model the internal and external deg…