Schrödinger Cat States with High-Spin Nuclei

The ability to prepare Schrödinger cat states will play a vital role in the realization of quantum technology and its advantage over classical technology. However, the practical realization of cat states is severely limited by decoherence and particle loss in current platforms. Here, we show how to realize Schrödinger cat states with high-spin nuclei which host a coherent high-dimensional system that is well protected from the environment. This is achieved by designing a quantum control scheme to generate a coherent spin state with nuclear spin, which evolves to a cat state under quadrupole interaction, and is detected using generalized Ramsey interferometry. We design pulse sequences for electromagnetic control of high-spin nuclei to implement our scheme and discuss its practical feasibility via high-spin donors in solid-state devices.