Trapped ions is one of the most important technologies explored for building a quantum computer. Their technical specificities give them particular error and noise sources, which must be taken into account when emulating their operation on classical hardware. In this internship, we aim at emulating a trapped ions experiment in collaboration with an experimental team based in Innsbruck (Austria). A precise noise model will be built. The emulation will use tensor network techniques that may have to be adapted to trapped ions, implying code development of cutting edge tensor network algorithms, such as the Time-Dependent Variational Principle (TDVP) method, potentially as a part of Qaptiva.