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quant-ph2026
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…
quant-ph2026
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…