Testing nonlocality over 12.4 km of underground fiber with universal time-bin qubit analyzers

We experimentally demonstrate that the nonlocal nature of time-bin entangled photonic qubits persists when one or two qubits of the pair are converted to polarization qubits. This is possible by implementing a universal time-bin qubit analyzer (UTBA), which allows the analysis of time-bin qubits in any basis. We reveal the nonlocal nature of the emitted light by violating the Clauser-Horne-Shimony-Holt inequality with measurement bases exploring all the dimensions of the Bloch sphere. Moreover, we conduct experiments where one qubit is transmitted over a 12.4 km underground fiber link and demonstrate the suitability of our scheme for use in a real-world setting. The resulting entanglement can also be interpreted as hybrid entanglement between different types of degrees of freedom of two physical systems, which could prove useful in large-scale, heterogeneous quantum networks. This work opens possibilities for testing nonlocality and for implementing new quantum communication protocols with time-bin entanglement.