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quant-ph2026★ 241 cited
Efficient quantum algorithm for dissipative nonlinear differential equations
Jin-Peng Liu, Herman Ãie Kolden, Hari K. Krovi +3
Nonlinear differential equations model diverse phenomena but are notoriously difficult to solve. While there has been extensive previous work on efficient quantum algorithms for li…
quant-ph2026
Linear Combination of Hamiltonian Simulation with Commutator Scaling
Junaid Aftab, Dong An, Konstantina Trivisa
The Linear Combination of Hamiltonian Simulation (LCHS) framework simulates dissipative linear dynamics by representing time evolution as an integral over unitary operators, which…
quant-ph2025
Quantum algorithms for linear and non-linear fractional reaction-diffusion equations
Dong An, Konstantina Trivisa
High-dimensional fractional reaction-diffusion equations have numerous applications in the fields of biology, chemistry, and physics, and exhibit a range of rich phenomena. While c…