<p>Satellite-based quantum communication faces challenges due to link intensity loss over long distances caused by various factors such as geometric loss and atmospheric attenuation. These effects can lead to lower entanglement distribution rates, secret key rates, and increased quantum bit error rates, especially in direct satellite-to-ground communication. This paper proposes a practical solution: the design of an airborne gold-coated parabolic reflector to be placed in the stratosphere directly above the ground station. This reflector effectively acts as a second virtual transmitter, a novel concept introduced in this work. The proposed method brings about a substantial increase in the distributed entanglement rate, boosting it by up to 25 times at zenith compared to direct satellite-to-ground communication. It also reduces the minimum elevation angle for secure communication, approximately from <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_20273_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(28^{\circ }\)</EquationSource> </InlineEquation> to <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_20273_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(18^{\circ }\)</EquationSource> </InlineEquation> for BB84 and from <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_20273_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(36^{\circ }\)</EquationSource> </InlineEquation> to <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_20273_Article_IEq4.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(22^{\circ }\)</EquationSource> </InlineEquation> for E91 when using the proposed reflector method compared to direct satellite-to-ground communication. Furthermore, the proposed reflector method extends the communication time window by <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_20273_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\(16.1\%\)</EquationSource> </InlineEquation> for the BB84 protocol and <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_20273_Article_IEq6.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\(25.9\%\)</EquationSource> </InlineEquation> for the E91 protocol. These enhancements underscore the potential of our approach to significantly extend the duration of secure communication and improve performance, particularly at lower elevation angles where direct satellite-to-ground communication is not feasible.</p>

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Airborne reflectors for satellite-based quantum entanglement and key distribution

  • Kavindu Sellahewa,
  • Nitish K. Panigrahy,
  • Albert Williams,
  • Don Towsley,
  • Deirdre Kilbane

摘要

Satellite-based quantum communication faces challenges due to link intensity loss over long distances caused by various factors such as geometric loss and atmospheric attenuation. These effects can lead to lower entanglement distribution rates, secret key rates, and increased quantum bit error rates, especially in direct satellite-to-ground communication. This paper proposes a practical solution: the design of an airborne gold-coated parabolic reflector to be placed in the stratosphere directly above the ground station. This reflector effectively acts as a second virtual transmitter, a novel concept introduced in this work. The proposed method brings about a substantial increase in the distributed entanglement rate, boosting it by up to 25 times at zenith compared to direct satellite-to-ground communication. It also reduces the minimum elevation angle for secure communication, approximately from \(28^{\circ }\) to \(18^{\circ }\) for BB84 and from \(36^{\circ }\) to \(22^{\circ }\) for E91 when using the proposed reflector method compared to direct satellite-to-ground communication. Furthermore, the proposed reflector method extends the communication time window by \(16.1\%\) for the BB84 protocol and \(25.9\%\) for the E91 protocol. These enhancements underscore the potential of our approach to significantly extend the duration of secure communication and improve performance, particularly at lower elevation angles where direct satellite-to-ground communication is not feasible.