Satellite-based continuous-variable quantum key distribution under the
Earth's gravitational field
- URL: http://arxiv.org/abs/2210.02776v1
- Date: Thu, 6 Oct 2022 09:28:38 GMT
- Title: Satellite-based continuous-variable quantum key distribution under the
Earth's gravitational field
- Authors: Tonghua Liu, Shuo Cao, Sixuan Zhang, Shuai Ma and Xiaobao Liu
- Abstract summary: We show a method to consider the effects of the Earth's gravitational field on quantum key distribution protocols.
Our results show that the Earth's gravitational field erodes the ability of the two parties to perform QKD in all the protocols.
- Score: 3.8187203282753646
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Long distance communication protocols cannot ignore the existence of the
Earth's gravitational field and its effects on quantum states. In this work, we
show a very general method to consider the effects of the Earth's gravitational
field on continuous-variable quantum key distribution protocols. Our results
show that the Earth's gravitational field erodes the ability of the two parties
to perform QKD in all the protocols. However, our findings also exhibit some
interesting features, i.e., the key rates initially increase for a specific
range of height parameter $h\simeq r_A/2$ and then gradually decrease with the
increasing of the orbits of satellite $h$. A possible explanation is also
provided in our analysis, considering the fact that gravitational frequency
shift and special relativistic effects play different roles in the key rates.
In addition, our findings show that the change in key rate effected by
gravitational frequency shift can be determined at a level of $<1.0\%$ within
the satellite height at geostationary Earth orbits. Our work could provide some
interesting possibilities to reduce the loss key rate through the control of
the orbital height of satellites.
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