Optically Distributing Remote Two-Node Microwave Entanglement Using Doubly Parametric Quantum Transducers

Doubly parametric quantum transducers (DPTs), such as electro-optomechanical devices, show promise interconnects between the optical and microwave domains, thereby enabling long-distance networks superconducting qubit systems. However, any transducer will inevitably introduce loss noise that degrade performance of a network. We explore how DPTs can be used to construct network capable distributing remote two-mode entanglement over an link by comparing 14 different topologies. The topologies we analyze consist combinations operations, entangled resources, entanglement-swapping measurements. For each topology, derive necessary sufficient analytic threshold on DPT parameters must exceeded in order distribute microwave-microwave entanglement. find thresholds are dependent given along with available resources measurement capabilities. In high-optical-loss limit, which is relevant realistic networks, down-conversion half squeezed vacuum state most robust topology. Finally, using currently achievable experimental capabilities, encouraging result several these could produce cannot work current performance, demonstrates importance thoroughly analyzing all possible networks.