• Photonics Research
  • Vol. 9, Issue 12, 2351 (2021)
Olena Kovalenko1、*, Young-Sik Ra2、3, Yin Cai2、4、5, Vladyslav C. Usenko1, Claude Fabre2, Nicolas Treps2, and Radim Filip1
Author Affiliations
  • 1Department of Optics, Palacky University, 77146 Olomouc, Czech Republic
  • 2Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-Université PSL, Collège de France, 75252 Paris, France
  • 3Department of Physics, Korea Advanced Institute of Science and Technology (KAIST), Daejeon 34141, Republic of Korea
  • 4Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Laboratory of Information Photonic Technique, Xi’an Jiaotong University, Xi’an 710049, China
  • 5e-mail: caiyin@xjtu.edu.cn
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    DOI: 10.1364/PRJ.434979 Cite this Article Set citation alerts
    Olena Kovalenko, Young-Sik Ra, Yin Cai, Vladyslav C. Usenko, Claude Fabre, Nicolas Treps, Radim Filip. Frequency-multiplexed entanglement for continuous-variable quantum key distribution[J]. Photonics Research, 2021, 9(12): 2351 Copy Citation Text show less

    Abstract

    Quantum key distribution with continuous variables already uses advantageous high-speed single-mode homodyne detection with low electronic noise at room temperature. Together with continuous-variable information encoding to nonclassical states, the distance for secure key transmission through lossy channels can approach 300 km in current optical fibers. Such protocols tolerate higher channel noise and also limited data processing efficiency compared to coherent-state protocols. The secret key rate can be further increased by increasing the system clock rates, and, further, by a suitable frequency-mode-multiplexing of optical transmission channels. However, the multiplexed modes couple together in the source or any other part of the protocol. Therefore, multiplexed communication will experience cross talk and the gain can be minuscule. Advantageously, homodyne detectors allow solving this cross-talk problem by proper data processing. It is a potential advantage over protocols with single-photon detectors, which do not enable similar data processing techniques. We demonstrate the positive outcome of this methodology on the experimentally characterized frequency-multiplexed entangled source of femtosecond optical pulses with natural cross talk between eight entangled pairs of modes. As the main result, we predict the almost 15-fold higher secret key rate. This experimental test and analysis of frequency-multiplexed entanglement source open the way for the field implementation of high-capacity quantum key distribution with continuous variables.
    K=max{0,βIABχBE},

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    γij=(ViCijCijVj).(A1)

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    σγi,j=1N+1(2ViViVj+Cij2ViVj+Cij22Vj).(A2)

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    γ=(V1C1,16C16,1V16),(A3)

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    Tij=(¯0000tij¯1tij¯001tij¯tij¯0000¯),(A4)

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    UA=T7,8T6,8T1,3T1,2=i=1,j=i+18Ti,j,(A5)

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    UB=T15,16T14,16T8,10T8,9=i=9,j=i+116Ti,j(A6)

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    Olena Kovalenko, Young-Sik Ra, Yin Cai, Vladyslav C. Usenko, Claude Fabre, Nicolas Treps, Radim Filip. Frequency-multiplexed entanglement for continuous-variable quantum key distribution[J]. Photonics Research, 2021, 9(12): 2351
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