Quantum simulation of the single-particle Schrodinger equation

Original authors of paper : Giuliano Benenti, Giuliano Strini

arXiv pre-print: https://arxiv.org/abs/0709.1704v2

Journal paper (not open access): https://aapt.scitation.org/doi/10.1119/1.2894532

Notebook by: Óscar Amaro

In this paper by Giuliano Benenti and Giuliano Strini the authors describe how to build quantum circuits to implement the unitary operator $U=e^{-i \Delta t H}$ for different external potentials and initial conditions.

The pdf is a print of the Mathematica notebook implementing some of these setups.

See also notebook by Lucas Ivan Inigo Gamiz: https://github.com/linigoga/QuantumSchrodingerEquation/tree/main