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Chinese Journal of Quantum Electronics

Study on quantum key bit rate in free-space quantum cryptography

Liying Tan

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

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.

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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.
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.
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.
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.
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.
Two theoretical models of single-photon acquisition probability based on the fundamental-mode Gaussian beam are established for free-space quantum key distribution and are compared in theory and simulation. The parameters that influence the single-photon acquisition probability are the transmitter's tracking-pointing error, the far-field divergence angle, the link distance between the transmitter and receiver and the receiver's antenna aperture. The single-photon acquisition probability is analyzed in the numerical simulation and its orders of magnitude are given for the ground-to-ground, satellite-to-ground and satellite-to-satellite links. The results of the theoretical analysis and the numerical simulation show that it is feasible to acquire single-photon for the satellite-to-ground and satellite-to-satellite quantum key distribution.
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.