Adaptive Strategy for Optimal Average Photon Number in Quantum Positioning System under Rainfall Background

Min Nie; Ting Gao; Guang Yang; Meiling Zhang; Aijing Sun; Changxing Pei

doi:10.3788/AOS202242.0327019

Acta Optica Sinica, Volume. 42, Issue 3, 0327019(2022)

Adaptive Strategy for Optimal Average Photon Number in Quantum Positioning System under Rainfall Background

Min Nie¹, Ting Gao^1,2、*, Guang Yang¹, Meiling Zhang¹, Aijing Sun¹, and Changxing Pei³

¹School of Communications and Information Engineering, Xi′an University of Posts and Telecommunications, Xi′an, Shaanxi 710121, China

²School of Electronic Engineering, Xian University of Posts and Telecommunications, Xi′an, Shaanxi 710121, China

³State Key Laboratory of Integrated Services Networks, Xidian University, Xi′an, Shaanxi 710071, China

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Figures & Tables(9)

Fig. 1. Relationship among photon energy, rainfall intensity and transmission distance

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Fig. 2. Schematic diagram of QPS baseline

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Fig. 3. Relationship between rainfall intensity and positioning error under different photon energies

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Fig. 4. Flowchart of adaptive adjustment of photon number in QPS decoy state

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Fig. 5. Relationship among optimal average photon number, rainfall intensity and transmission distance

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Fig. 6. Relationship between QPS positioning error and rainfall intensity before and after adopting PNA algorithm

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Fig. 7. Relationship between security key generation rate of system and transmission distance under light rain and heavy rain. (a) Light rain; (b) heavy rain

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Table 1. Dividing criteria for rainfall intensity
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Table 1. Dividing criteria for rainfall intensity
Rainfall level Rainfall intensity /(mm·h^-1)
Light rain <0.41
Moderate rain 0.41--1.04
Heavy rain 1.04--2.08
Rainstorm 2.08--4.16
Heavy rainstorm 4.16--8.32
Extraordinary rainstorm >8.32

Table 2. Values of parameters of positioning error

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Table 2. Values of parameters of positioning error

Parameter	Definition	Value
ε	Time window of quantum detector	1
τ	Number of detectors	6
θ /(°)	Zenith Angle	0
L/km	Transmission distance	10
η₁	Capture rate for single photon	0.5
η₂	Efficiency of single photon detector	0.65
ζ	Transmission rate of system installation	1
F	Measuring factor	1

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Min Nie, Ting Gao, Guang Yang, Meiling Zhang, Aijing Sun, Changxing Pei. Adaptive Strategy for Optimal Average Photon Number in Quantum Positioning System under Rainfall Background[J]. Acta Optica Sinica, 2022, 42(3): 0327019

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