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Approximating exponentials of commutators by optimized product formulas
F. Casas, A. Escorihuela-Tomàs, P. A. Moreno Casares
Trotter product formulas constitute a cornerstone quantum Hamiltonian simulation technique. However, the efficient implementation of Hamiltonian evolution of nested commutators rem…
Exponential perturbative expansions and coordinate transformations
Ana Arnal, Fernando Casas, Cristina Chiralt
We propose a unified approach for different exponential perturbation techniques used in the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion, th…
A unifying framework for perturbative exponential factorizations
Ana Arnal, Fernando Casas, Cristina Chiralt
We propose a framework where Fer and Wilcox expansions for the solution of differential equations are derived from two particular choices for the initial transformation that seeds…