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Preprint Oct 2026

Optimal kernel functions for linear combination of Hamiltonian simulation

Linear combination of Hamiltonian simulation (LCHS) provides an asymptotically optimal framework for the quantum simulation of linear non-unitary dynamics. The LCHS approach approximately implements the Peano--Baker propagator through an integral representation determined by a kernel function. We establish an LCHS appr...

H. Apel, B. Berntson · 0 citations
Preprint Oct 2026

Floquet-Universal Hamiltonian Simulation

Analogue and digital Hamiltonian simulation represent two distinct approaches to making one quantum system replicate the physical properties of another, with consequences ranging from practical applications to complexity theory and quantum gravity. They are rooted in two distinct regimes of quantum dynamics: time-indep...

Emilio Onorati, H. Apel, Michael M. Wolf et al. · 0 citations

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