Entanglement of Microwave-Optical Modes in a Strongly Coupled Electro-Optomechanical System

Quantum transduction between microwave and optics can be realized by quantum teleportation if given reliable entanglement between microwave and optical modes, namely entanglement-based quantum transduction. To realize this protocol, an entangled source with high-fidelity is necessary. Based on a generic strongly coupled cavity electro-optomechanical system, we study the microwave-optical entanglement generation and quantify the frequency entanglement between the two modes. The entanglement can be straightforwardly encoded in frequency-bin degree of freedom with a feasible experiment to verify entangled photon pairs. The experimental implementation is systematically analyzed and the preferable parameter regime for entanglement verification is identified. An inequality is given as a criterion for good entanglement verification including practical imperfections.

In Part A: We introduce frequency entanglement in the strongly coupled electro-optomechanical system and discuss the experimental detection scheme.