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We present experimental evidence of the generation of distinct types ofgenuine multipartite entanglement between three degrees of freedom, twointernal and one external degree of freedom, within single-neutron quantumsystems. This is achieved via the development of new spin manipulationapparatuses for neutron interferometry and the genuine multipartiteentanglement is detected via appropriately designed and optimized non-linearwitnesses. Via the applied criteria we reveal even finer properties of the typeof the genuine multipartite entanglement that is produced in the experiment. Ina subsequent analysis we show the extraordinarily high fidelity of genuinetripartite entangled states, proving the outstanding level of controllabilityof these systems.

Proving the Generation of Genuine Multipartite Entanglement in a Single-Neutron Interferometer Experiment