14 citations · 29 across the 3 of their papers we have counts for
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Root-sparsity scaling for Hamiltonian simulation, differential equations and linear-system solvers
Dominic W. Berry, Abhishek Rawat, Sophia Simon +1
We give quantum algorithms for Hamiltonian simulation, linear differential equations, and linear systems with square-root dependence on sparsity. For an -sparse Hermitian matrix…
Quantum Simulation of Dissipative Non-Markovian Coupled Classical Oscillators
Malte Schade, Sophia Simon, Nathan Wiebe +3
We present a quantum algorithm for simulating classical oscillator networks characterized by non-Markovian dissipation and time-varying material properties, extending recent speedu…
Improved precision scaling for simulating coupled quantum-classical dynamics
Sophia Simon, Raffaele Santagati, Matthias Degroote +3
We present a super-polynomial improvement in the precision scaling of quantum simulations for coupled classical-quantum systems in this paper. Such systems are found, for example,…