Enhanced super-Heisenberg scaling precision by nonlinear coupling and postselection

2023/08/16 by Lupei Qin, Jialin Li, Qin, Lupei +5
Computer Science · Engineering · Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Photonic and Optical Devices #Quantum Information and Cryptography #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2308.08113

openalex publication_date 2023/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In quantum precision metrology, the famous result of Heisenberg limit scaling as 1/N (with N the number of probes) can be surpassed by considering nonlinear coupling measurement. In this work, we consider the most practice-relevant quadratic nonlinear coupling and show that the metrological precision can be enhanced from the 1/N^(3)/(2) super-Heisenberg scaling to 1/N², by simply employing a pre- and post-selection (PPS) technique, but not using any expensive quantum resources such as quantum entangled state of probes.

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