Distributed quantum phase estimation with entangled photons
Li-Zheng Liu, Yu-Zhe Zhang, Zheng-Da Li, Rui Zhang, Xu-Fei Yin,, Yue-Yang Fei, Li Li, Nai-Le Liu, Feihu Xu, Yu-Ao Chen, Jian-Wei Pan

TL;DR
This paper demonstrates distributed quantum phase estimation using entangled photons, achieving Heisenberg limit sensitivity and surpassing shot-noise limits through innovative entanglement and multiple passes.
Contribution
It introduces a novel distributed quantum sensing protocol with entangled photons and multiple passes, achieving significant error reduction below classical limits.
Findings
Error reduction up to 4.7 dB below shot-noise limit
Distributed sensing with entangled photons enhances sensitivity
Multiple passes of phase shifters improve measurement precision
Abstract
Distributed quantum metrology can enhance the sensitivity for sensing spatially distributed parameters beyond the classical limits. Here we demonstrate distributed quantum phase estimation with discrete variables to achieve Heisenberg limit phase measurements. Based on parallel entanglement in modes and particles, we demonstrate distributed quantum sensing for both individual phase shifts and an averaged phase shift, with an error reduction up to 1.4 dB and 2.7 dB below the shot-noise limit. Furthermore, we demonstrate a combined strategy with parallel mode entanglement and multiple passes of the phase shifter in each mode. In particular, our experiment uses six entangled photons with each photon passing the phase shifter up to six times, and achieves a total number of photon passes N=21 at an error reduction up to 4.7 dB below the shot-noise limit. Our research provides a faithful…
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