• Photonics Research
  • Vol. 10, Issue 12, 2886 (2022)
Xiaocong Sun1、†, Wei Li1、2、†, Yuhang Tian1, Fan Li1, Long Tian1、2, Yajun Wang1、2, and Yaohui Zheng1、2、*
Author Affiliations
  • 1State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China
  • 2Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China
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    DOI: 10.1364/PRJ.469166 Cite this Article Set citation alerts
    Xiaocong Sun, Wei Li, Yuhang Tian, Fan Li, Long Tian, Yajun Wang, Yaohui Zheng. Quantum positioning and ranging via a distributed sensor network[J]. Photonics Research, 2022, 10(12): 2886 Copy Citation Text show less

    Abstract

    A quantum sensor network with multipartite entanglement offers a sensitivity advantage in optical phase estimation over the classical scheme. To tackle richer sensing problems, we construct a distributed sensor network with four nodes via four partite entanglements, unveil the estimation of the higher order derivative of radio-frequency signal phase, and unlock the potential of quantum target ranging and space positioning. Taking phased-array radar as an example, we demonstrate the optimal quantum advantages for space positioning and target ranging missions. Without doubt, the demonstration that endows innovative physical conception opens up widespread application of quantum sensor networks.
    r=(φ1)2φ1λ36πΔx(sinζxcosζy+iz),

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    cosθ1=(φ2φ1)λ2πΔx=Δx2+d22d122d2,(A1)

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    cosθ2=(φ3φ1)λ2πΔx=Δx2+d32d122d3,(A2)

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    cosθ3=(φ4φ1)λ2πΔx=Δx2+d42d122d4,(A3)

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    φiφ1=πΔxλΔx2+di2d12di,i=2,3,4(A4)

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    tanθ=zx2+y2,cosθ=x2+y2x2+y2+z2,(B1)

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    sinθ=zx2+y2+z2,tanζ=xy,(B2)

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    cosζ=yx2+y2,sinζ=xx2+y2.(B3)

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    θ=arctanzx2+y2,(B4)

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    θ=1x2+y2+z2(sinθsinζxsinθcosζy+cosθz),(B5)

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    r=x2+y2+z2=1θ(sinθsinζxsinθcosζy+cosθz).(B6)

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    θ=arccos(φiφ1)λ2πΔx,i=2,3,,(B7)

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    θ=arccosλ36πΔxφ1.(B8)

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    θ=11(λ36πΔxφ1(1))2λ36πΔxφ1.(B9)

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    r=(φ1)2φ1λ36πΔx(sinζxcosζy+iz).(B10)

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    φ=β1φ1+β2φ2+β3φ3+β4φ4,(C1)

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    φ2=φ1+φ1Δx+12φ1Δx2+16φ1Δx3,(C2)

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    φ3=φ1+φ12Δx+12φ1(2Δx)2+16φ1(2Δx)3,(C3)

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    φ4=φ1+φ13Δx+12φ1(3Δx)2+16φ1(3Δx)3,(C4)

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    Xiaocong Sun, Wei Li, Yuhang Tian, Fan Li, Long Tian, Yajun Wang, Yaohui Zheng. Quantum positioning and ranging via a distributed sensor network[J]. Photonics Research, 2022, 10(12): 2886
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