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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-ph2024★ 1 cited
Multi-Product Hamiltonian Simulation with Explicit Commutator Scaling
Junaid Aftab, Dong An, Konstantina Trivisa
The well-conditioned multi-product formula (MPF), proposed by Low-Kliuchnikov-Wiebe (2019), is a high-order, time-independent Hamiltonian simulation algorithm that implements a lin…
quant-ph2023
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…