Full-Period Quantum Phase Estimation,Physical Review Letters

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Full-Period Quantum Phase Estimation
Physical Review Letters ( IF 8.1 ) Pub Date : 2023-03-22 , DOI: 10.1103/physrevlett.130.120802
Li-Zheng Liu _{1,

2} , Yue-Yang Fei _{1,

2} , Yingqiu Mao _{1,

2} , Yi Hu _{1,

2} , Rui Zhang _{1,

2} , Xu-Fei Yin _{1,

2} , Xiao Jiang _{1,

2,

3} , Li Li _{1,

2,

3} , Nai-Le Liu _{1,

2,

3} , Feihu Xu _{1,

2,

3} , Yu-Ao Chen _{1,

2,

3} , Jian-Wei Pan _{1,

2,

3}

Affiliation

Quantum sensing can provide the superior sensitivity for sensing a physical quantity beyond the shot-noise limit. In practice, however, this technique has been limited to the issues of phase ambiguity and low sensitivity for small-scale probe states. Here, we propose and demonstrate a full-period quantum phase estimation approach by adopting the Kitaev’s phase estimation algorithm to eliminate the phase ambiguity and using the GHZ states to obtain phase value, simultaneously. For an

N

-party entangled state, our approach can achieve an upper bound of sensitivity of

δ θ = \sqrt{3 / (N^{2} + 2 N)}

, which beats the limit of adaptive Bayesian estimation. By performing an eight-photon experiment, we demonstrate the estimation of unknown phases in a full period, and observe the phase superresolution and sensitivity beyond the shot-noise limit. Our Letter provides a new way for quantum sensing and represents a solid step towards its general applications.

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