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In this paper, we propose a protocol for angular displacement estimationbased upon orbital angular momentum coherent state and a SU(1,1)-SU(2) hybridinterferometer. This interferometer consists of an optical parametricamplifier, a beam splitter and reflection mirrors, hereon we use a quantumdetection strategy $\---$ balanced homodyne detection. The results indicatethat super-resolution and super-sensitivity can be realized with idealcondition. Additionally, we study the impact of photon loss on the resolutionand the sensitivity, and the robustness of our protocol is also discussed.Finally, we demonstrate the advantage of our protocol over SU(1,1) andsummarize the merits of orbital angular momentum-enhanced protocol.

optics express

Toward demonstrating super-sensitive angular displacement estimation by  using orbital angular momentum coherent state and SU(1,1)-SU(2) hybrid  interferometer