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quant-ph2024
The cost of solving linear differential equations on a quantum computer: fast-forwarding to explicit resource counts
David Jennings, Matteo Lostaglio, Robert B. Lowrie +2
How well can quantum computers simulate classical dynamical systems? There is increasing effort in developing quantum algorithms to efficiently simulate dynamics beyond Hamiltonian…
quant-ph2024
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-ph2024
A near-term quantum algorithm for solving linear systems of equations based on the Woodbury identity
Daniel O'Malley, Jessie M. Henderson, Elijah Pelofske +5
Quantum algorithms for solving linear systems of equations have generated excitement because of the potential speed-ups involved and the importance of solving linear equations in m…