8 Conclusion and Outlook
151
Ardehali-Belinskii-Klyshko (MABK) inequality [16–18]. It is unclear, however, if
the task of DICKA necessarily needs to rely on GME states. Moreover, we raised
doubts about the employability of full-correlator Bell inequalities for DICKA protocols. Such open questions could trigger the search for definitive answers which
we believe would shed light on novel fundamental aspects of multipartite quantum
correlations. In doing so, one could obtain prescriptions that a Bell inequality should
fulfil in order to be used in a DICKA protocol, and suggest new DICKA protocols
based on Bell inequalities satisfying these conditions.
Experiments on DI cryptographic protocols started to appear only recently [19–
23]. Indeed, recent developments in photonic detector efficiencies [24, 25] and
parametric down-conversion sources [26, 27] have opened the possibility for an
all-photonic implementation of DI cryptographic schemes, paving the way for the
application of this technology to future quantum networks.
In conclusion, we hope that this book may support the on-going process transforming QKD and CKA protocols into concrete cryptographic solutions, and at the
same time has stimulated further fundamental research on the flourishing field of
quantum cryptography.
References
1. Diamanti, E., Lo, H.-K., Qi, B., & Yuan, Z. (2016). Practical challenges in quantum key
distribution. npj Quantum Information, 2(1), 16025.
2. Murta, G., Grasselli, F., Kampermann, H., & Bruß, D. (2020). Quantum conference key agreement: A review. arXiv:quant-ph/2003.10186.
3. Kimble, H. J. (2008). The quantum internet. Nature, 453(7198), 1023–1030.
4. Wehner, S., Elkouss, D., & Hanson, R. (2018). Quantum internet: A vision for the road ahead.
Science, 362(6412).
5. Broadbent, A., Fitzsimons, J., & Kashefi, E. (2009). Universal blind quantum computation. In
2009 50th Annual IEEE Symposium on Foundations of Computer Science, pp. 517–526.
6. Fitzsimons, J. F. (2017). Private quantum computation: an introduction to blind quantum computing and related protocols. npj Quantum Information, 3(1), 23.
7. Kómár, P., Kessler, E. M., Bishof, M., Jiang, L., Sørensen, A. S., Ye, J., et al. (2014). A quantum
network of clocks. Nature Physics, 10(8), 582–587.
8. Vaccaro, J. A., Spring, J., & Chefles, A. (2007). Quantum protocols for anonymous voting and
surveying. Physical Review A, 75, 012333.
9. Wang, Q., Yu, C., Gao, F., Qi, H., & Wen, Q. (2016). Self-tallying quantum anonymous voting.
Physical Review A, 94, 022333.
10. Grasselli, F., Kampermann, H., & Bruß, D. (2018). Finite-key effects in multipartite quantum
key distribution protocols. New Journal of Physics, 20(11), 113014.
11. Grasselli, F., Kampermann, H., & Bruß, D. (2019). Conference key agreement with singlephoton interference. New Journal of Physics, 21(12), 123002.
12. Proietti, M., Ho, J., Grasselli, F., Barrow, P., Malik, M., & Fedrizzi, A. (2020). Experimental
quantum conference key agreement. arXiv:quant-ph/2002.01491.
13. Grasselli, F., Murta, G., Kampermann, H., & Bruß, D. (2020). Analytical entropic bounds for
multiparty device-independent cryptography. arXiv:quant-ph/2004.14263.
14. Ribeiro, J., Murta, G., & Wehner, S. (2019). Reply to “comment on ‘fully device-independent
conference key agreement’ ”. Physical Review A, 100, 026302.
151
Ardehali-Belinskii-Klyshko (MABK) inequality [16–18]. It is unclear, however, if
the task of DICKA necessarily needs to rely on GME states. Moreover, we raised
doubts about the employability of full-correlator Bell inequalities for DICKA protocols. Such open questions could trigger the search for definitive answers which
we believe would shed light on novel fundamental aspects of multipartite quantum
correlations. In doing so, one could obtain prescriptions that a Bell inequality should
fulfil in order to be used in a DICKA protocol, and suggest new DICKA protocols
based on Bell inequalities satisfying these conditions.
Experiments on DI cryptographic protocols started to appear only recently [19–
23]. Indeed, recent developments in photonic detector efficiencies [24, 25] and
parametric down-conversion sources [26, 27] have opened the possibility for an
all-photonic implementation of DI cryptographic schemes, paving the way for the
application of this technology to future quantum networks.
In conclusion, we hope that this book may support the on-going process transforming QKD and CKA protocols into concrete cryptographic solutions, and at the
same time has stimulated further fundamental research on the flourishing field of
quantum cryptography.
References
1. Diamanti, E., Lo, H.-K., Qi, B., & Yuan, Z. (2016). Practical challenges in quantum key
distribution. npj Quantum Information, 2(1), 16025.
2. Murta, G., Grasselli, F., Kampermann, H., & Bruß, D. (2020). Quantum conference key agreement: A review. arXiv:quant-ph/2003.10186.
3. Kimble, H. J. (2008). The quantum internet. Nature, 453(7198), 1023–1030.
4. Wehner, S., Elkouss, D., & Hanson, R. (2018). Quantum internet: A vision for the road ahead.
Science, 362(6412).
5. Broadbent, A., Fitzsimons, J., & Kashefi, E. (2009). Universal blind quantum computation. In
2009 50th Annual IEEE Symposium on Foundations of Computer Science, pp. 517–526.
6. Fitzsimons, J. F. (2017). Private quantum computation: an introduction to blind quantum computing and related protocols. npj Quantum Information, 3(1), 23.
7. Kómár, P., Kessler, E. M., Bishof, M., Jiang, L., Sørensen, A. S., Ye, J., et al. (2014). A quantum
network of clocks. Nature Physics, 10(8), 582–587.
8. Vaccaro, J. A., Spring, J., & Chefles, A. (2007). Quantum protocols for anonymous voting and
surveying. Physical Review A, 75, 012333.
9. Wang, Q., Yu, C., Gao, F., Qi, H., & Wen, Q. (2016). Self-tallying quantum anonymous voting.
Physical Review A, 94, 022333.
10. Grasselli, F., Kampermann, H., & Bruß, D. (2018). Finite-key effects in multipartite quantum
key distribution protocols. New Journal of Physics, 20(11), 113014.
11. Grasselli, F., Kampermann, H., & Bruß, D. (2019). Conference key agreement with singlephoton interference. New Journal of Physics, 21(12), 123002.
12. Proietti, M., Ho, J., Grasselli, F., Barrow, P., Malik, M., & Fedrizzi, A. (2020). Experimental
quantum conference key agreement. arXiv:quant-ph/2002.01491.
13. Grasselli, F., Murta, G., Kampermann, H., & Bruß, D. (2020). Analytical entropic bounds for
multiparty device-independent cryptography. arXiv:quant-ph/2004.14263.
14. Ribeiro, J., Murta, G., & Wehner, S. (2019). Reply to “comment on ‘fully device-independent
conference key agreement’ ”. Physical Review A, 100, 026302.