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Influence of background light on quantum bit error rate in satellite-to-ground quantum key distribution

Liying Tan

Published Jan 1, 2007• 1 citation
OpenAlex

Abstract

Quantum bit error rate is an important operating parameter in quantum key distribution.As to the satellite-to-ground quantum key distribution,the highly attenuated laser pulses with Poisson distribution are used as single-photon sources.The theoretical model of the quantum bit error rate caused by the background light is established and the expressions of the quantum bit error rate are given.The quantum bit error rate is analyzed in the numerical simulation for the laser links between a ground station and a 300km altitude satellite in a low earth orbit.The study shows that the background light is one of the main factors that limit the link distance for free-space quantum key distribution,and that it is feasible to implement quantum key distribution between a ground station and a satellite in a low earth orbit.In daylight,the quantum bit error rate is on the order of 10-3~10-2,at night,10-4 during a full moon and 10-6~10-5 during a new moon.

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Quantum bit error rate is an important operating parameter in quantum key distribution.As to the satellite-to-ground quantum key distribution,the highly attenuated laser pulses with Poisson distribution are used as single-photon sources.The theoretical model of the quantum bit error rate caused by the background light is established and the expressions of the quantum bit error rate are given.The quantum bit error rate is analyzed in the numerical simulation for the laser links between a ground station and a 300km altitude satellite in a low earth orbit.The study shows that the background light is one of the main factors that limit the link distance for free-space quantum key distribution,and that it is feasible to implement quantum key distribution between a ground station and a satellite in a low earth orbit.In daylight,the quantum bit error rate is on the order of 10-3~10-2,at night,10-4 during a full moon and 10-6~10-5 during a new moon.
Highly attenuated laser pulses with Poisson distribution are used as single-photon sources and the BB84 and B92 protocols are used for free-space quantum key distribution.By introducing the quantum channel transmission,the single-photon acquisition probability,the measuring factor and the sifting factor,the theoretical model of the quantum bit error rate was established and the expressions of the quantum bit error rate were given.The main factors that cause the quantum bit error rate are the optical elements,the detector dark noise and the space optical environment and these factors were analyzed.The quantum bit error rate was analyzed in the numerical simulation for the laser links between a ground station and a satellite in a low earth orbit.The results show that it is feasible to implement quantum key distribution between a ground station and a satellite in a low earth orbit and that it is the detector dark noise and the space optical environment that limit the link distance for free-space quantum key distribution.
The quantum bit rate is an important operating parameter in free-space quantum key distribution. We introduce the measuring factor and the sifting factor, and present the expressions of the quantum bit rate based on the ideal single-photon sources and the single-photon sources with Poisson distribution. The quantum bit rate is studied in the numerical simulation for the laser links between a ground station and a satellite in a low earth orbit. The results show that it is feasible to implement quantum key distribution between a ground station and a satellite in a low earth orbit.
Quantum bit error rate is an important operating parameter in quantum key distribution system.Aiming at satellite to earth quantum key distribution system,an quantum bit error rate model was established with several factors,such as background light,quantum polarization degradation,polarization misalignments and photodetector dark current.Calculation formula of quantum bit error rate and sifted key bits was given,as well as the numerical simulation results for laser links between ground and a 300km altitude satellite.This study shows that,when the pulse frequency is set at 30kHz and with good weather conditions,the quantum polarization degradation is the main factor that contributes to error bit,which provides the significant instruction for the design of satellite-earth quantum key distribution system.
The expressions of the quantum key bit rate are given for free-space quantum key distribution by introducing the quantum channel transmission, the single-photon acquisition probability, the detection factor and the sifting factor. The quantum key bit rate is studied in the numerical simulation for the laser links between a ground station and a satellite in a low earth orbit. The results show that it is feasible to implement quantum key distribution between a ground station and a satellite in a low earth orbit.
In order to avoid beam splitter( BS) eavesdropping problem during quantum key distribution between a ground station and a satellite in a low earth orbit,the single-photon sources with Poisson distribution are analyzed,the theoretical model of quantum bit rate is established and the expression of eavesdropping ratio in BS eavesdropping is given. The BS eavesdropping is analyzed for quantum key distribution between a ground station and a satellite in a low earth orbit. The results show that mean photon number per pulse can be optimized and that eavesdropping ratio is on the order of 10- 4,and by error detection and privacy amplification,the information gained by an eavesdropper can be reduced to less than 1 bit. This means that it is feasible to implement quantum key distribution between a ground station and a satellite in a low earth orbit. Security can be guaranteed in a high quantum bit exchanging rate system.
Quantum bit rate is an important parameter in quantum key distribution system.Quantum link during time in a satellite-to-ground quantum key distribution system was studied,and the variation of pitch angle at facility was analyzed.Then the link model between low earth orbit and earth station was built.By numerical analyzing,it is shown that,quantum bit rate varies with the satellite's movement and in the centre of link,the quantum bit rate reaches the maximal value.The results show that quantum bit rate in an earth-based station and low earth orbit satellite QKD system can reach the practical demand and is feasible.