Direct measurement of the concurrence of hybrid entangled state based on parity check measurements*

Project supported by the National Natural Science Foundation of China (Grant Nos. 11474168 and 11747161) and a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions, China.

Zhang Man1, Zhou Lan2, Zhong Wei1, 3, Sheng Yu-Bo1, 3, †
       

Schematic diagram of the PCM. The function of the PCM is to distinguish the states |HV⟩ and |VH⟩ from |HH⟩ and |VV⟩. The PBS can transmit the horizontally polarized photon (|H⟩) and reflect the vertically polarized photon (|V⟩). HWP45° is a half-wave plate placed in 45°, whose function is |V⟩ → |H⟩ and |H⟩ → |V⟩. A photon in ac mode introduces +θ on the coherent probe beam |αp, while a photon in bc introduces −θ on |αp. |X⟩⟨X| represents an X quadrature homodyne measurement.