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

Abstract

In this paper, we propose a protocol for angular displacement estimation based upon orbital angular momentum coherent state and a SU(1,1)-SU(2) hybrid interferometer. This interferometer consists of an optical parametric amplifier, a beam splitter and reflection mirrors, hereon we use a quantum detection strategy $\---$ balanced homodyne detection. The results indicate that super-resolution and super-sensitivity can be realized with ideal condition. Additionally, we study the impact of photon loss on the resolution and the sensitivity, and the robustness of our protocol is also discussed. Finally, we demonstrate the advantage of our protocol over SU(1,1) and summarize the merits of orbital angular momentum-enhanced protocol.

arXiv comment7 pages, 8 figures

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• Enhanced phase sensitivity in a Mach-Zehnder interferometer via photon recycling
• Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states
• Gaussian phase sensitivity of boson-sampling-inspired strategies
• Angular displacements estimation enhanced by squeezing and parametric amplification