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Polarization Modulated Vertical-Cavity Surface-Emitting Lasers in Quantum Key Distribution

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Optics, Photonics and Laser Technology 2018

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 223))

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Abstract

Vertical-cavity surface-emitting lasers (VCSELs) have multiple beneficial properties in quantum key distribution (QKD). However, polarization switching (PS), which happens between two orthogonally polarized eigenmodes, is characteristic of these lasers. PS is extremely problematic if it is unwanted in all polarization-sensitive applications. The origin and properties of PS is discussed, along with potential error scenarios introduced to QKD protocols BB84 and B92. We propose a new transmitter design for the BB84 protocol using only two VCSELs—both corresponding to one of the two bases in which polarized photons are sent—, which are modulated in polarization, purposely generating switches between two orthogonally polarized modes. The methods of polarization modulation are described, along with advantages and design difficulties of the new design. We also consider the possibility of a spectral attack performed by an eavesdropper, originating from the frequency splitting between the polarization eigenmodes of a single VCSEL, and offer a theoretical solution that can protect the key from eavesdroppers utilizing this kind of attack.

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References

  1. C.E. Shannon, Communication theory of secrecy systems. Bell Labs Tech. J. 28, 656–715 (1949)

    Article  MathSciNet  Google Scholar 

  2. W.K. Wootters, W.H. Zurek, A single quantum cannot be cloned. Nature 299, 802–803 (1982)

    Article  ADS  Google Scholar 

  3. C.H. Bennett, G. Brassard, Quantum cryptography: public key distribution and coin tossing, in Proceedings of IEEE International Conference on Computers, Systems and Signal Processing, vol. 175 (IEEE, 1984). p. 8

    Google Scholar 

  4. C.H. Bennett, Quantum cryptography using any two nonorthogonal states. Phys. Rev. Lett. 68, 3121 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  5. A.K. Ekert, Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67, 661 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  6. C.H. Bennett, F. Bessette, G. Brassard, L. Salvail, J. Smolin, Experimental quantum cryptography. J. Cryptol. 5, 3–28 (1992)

    Article  Google Scholar 

  7. R.J. Glauber, Coherent and incoherent states of the radiation field. Phys. Rev. 131, 2766 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  8. G. Brassard, N. Lütkenhaus, T. Mor, B.C. Sanders, Limitations on practical quantum cryptography. Phys. Rev. Lett. 85, 1330 (2000)

    Article  ADS  Google Scholar 

  9. R. Michalzik (ed.), VCSEL Fundamentals (Springer, Berlin, 2013) pp. 19–75

    Google Scholar 

  10. G. Vest, M. Rau, L. Fuchs, G. Corrielli, H. Weier, S. Nauerth, A. Crespi, R. Osellame, H. Weinfurter, Design and evaluation of a handheld quantum key distribution sender module. IEEE J. Sel. Top. Quantum Electron. 21, 131–137 (2015)

    Article  ADS  Google Scholar 

  11. S. Nazhan, Z. Ghassemlooy, Polarization switching dependence of vcsel on variable polarization optical feedback. IEEE J. Quantum Electron. 53, 1–7 (2017)

    Article  Google Scholar 

  12. J. Martín-Regalado, F. Prati, M. San Miguel, N. Abraham, Polarization properties of vertical-cavity surface-emitting lasers. IEEE J. Quantum Electron. 33, 765–783 (1997)

    Article  ADS  Google Scholar 

  13. K.D. Choquette, R.P. Schneider, K.L. Lear, R.E. Leibenguth, Gain-dependent polarization properties of vertical-cavity lasers. IEEE J. Sel. Top. Quantum Electron. 1, 661–666 (1995)

    Article  ADS  Google Scholar 

  14. M. San Miguel, Q. Feng, J.V. Moloney, Light-polarization dynamics in surface-emitting semiconductor lasers. Phys. Rev. A 52, 1728 (1995)

    Article  ADS  Google Scholar 

  15. A.B. Kaplan, Investigating the polarization properties of vertical-cavity surface-emitting lasers. B.A. honors thesis, Amherst College (2007)

    Google Scholar 

  16. R. Michalzik, J.M. Ostermann, Polarization control of VCSELs, in R. Michalzik (ed.) VCSELs. (Springer, Berlin, 2013) pp. 147–179

    Google Scholar 

  17. Á. Schranz, E. Udvary, Transmitter design proposal for the BB84 quantum key distribution protocol using polarization modulated vertical cavity surface-emitting lasers, in Proceedings of the 6th International Conference on Photonics, Optics and Laser Technology (2018), pp. 252–258

    Google Scholar 

  18. T. Katayama, D. Hayashi, H. Kawaguchi, All-optical shift register using polarization bistable VCSEL array. IEEE Photonics Technol. Lett. 28, 2062–2065 (2016)

    Article  ADS  Google Scholar 

  19. A. Ruiz-Alba, D. Calvo, V. Garcia-Muñoz, A. Martinez, W. Amaya, J. Rozo, J. Mora, J. Capmany, Practical quantum key distribution based on the BB84 protocol. Waves 3, 4–14 (2011)

    Google Scholar 

  20. S. Bandyopadhyay, Y. Hong, P. Spencer, K. Shore, Vcsel polarization control by optical injection. J. Light. Technol. 21, 2395–2404 (2003)

    Article  ADS  Google Scholar 

  21. J. Martín-Regalado, J. Chilla, J. Rocca, P. Brusenbach, Polarization switching in vertical-cavity surface emitting lasers observed at constant active region temperature. Appl. Phys. Lett. 70, 3350–3352 (1997)

    Article  ADS  Google Scholar 

  22. K.D. Choquette, K. Lear, R. Leibenguth, M. Asom, Polarization modulation of cruciform vertical-cavity laser diodes. Appl. Phys. Lett. 64, 2767–2769 (1994)

    Article  ADS  Google Scholar 

  23. G. Verschaffelt, J. Albert, I. Veretennicoff, J. Danckaert, S. Barbay, G. Giacomelli, F. Marin, Frequency response of current-driven polarization modulation in vertical-cavity surface-emitting lasers. Appl. Phys. Lett. 80, 2248–2250 (2002)

    Article  ADS  Google Scholar 

  24. G. Verschaffelt, J. Albert, B. Nagler, M. Peeters, J. Danckaert, S. Barbay, G. Giacomelli, F. Marin, Frequency response of polarization switching in vertical-cavity surface-emitting lasers. IEEE J. Quantum Electron. 39, 1177–1186 (2003)

    Article  ADS  Google Scholar 

  25. K. Panajotov, B. Ryvkin, J. Danckaert, M. Peeters, H. Thienpont, I. Veretennicoff, Polarization switching in vcsel’s due to thermal lensing. IEEE Photonics Technol. Lett. 10, 6–8 (1998)

    Article  ADS  Google Scholar 

  26. A.V. Barve, A. Mehta, A. Husain, L. Coldren, Ultrafast electrical polarization modulation in VCSEL with asymmetric current injection, in Optical Interconnects Conference, 2014 IEEE (IEEE, 2014), pp. 91–92

    Google Scholar 

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Acknowledgements

The authors would like to thank Dr. Zsolt Kis (Wigner Research Centre for Physics, Budapest, Hungary) for the helpful suggestions regarding the physics and background of photon frequency measurements.

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Correspondence to Ágoston Schranz .

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Schranz, Á., Udvary, E. (2019). Polarization Modulated Vertical-Cavity Surface-Emitting Lasers in Quantum Key Distribution. In: Ribeiro, P., Raposo, M. (eds) Optics, Photonics and Laser Technology 2018. Springer Series in Optical Sciences, vol 223. Springer, Cham. https://doi.org/10.1007/978-3-030-30113-2_4

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