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quant-ph2025
Selection and improvement of product formulae for best performance of quantum simulation
Mauro E. S. Morales, Pedro C. S. Costa, Giacomo Pantaleoni +3
Quantum algorithms for simulation of Hamiltonian evolution are often based on product formulae. The fractal methods give a systematic way to find arbitrarily high-order product for…
quant-ph2024
Quantum algorithm for time-dependent differential equations using Dyson series
Dominic W. Berry, Pedro C. S. Costa
Time-dependent linear differential equations are a common type of problem that needs to be solved in classical physics. Here we provide a quantum algorithm for solving time-depende…