Universal blind quantum computation for hybrid system

  • He-Liang Huang
  • Wan-Su Bao
  • Tan Li
  • Feng-Guang Li
  • Xiang-Qun Fu
  • Shuo Zhang
  • Hai-Long Zhang
  • Xiang Wang
Article

Abstract

As progress on the development of building quantum computer continues to advance, first-generation practical quantum computers will be available for ordinary users in the cloud style similar to IBM’s Quantum Experience nowadays. Clients can remotely access the quantum servers using some simple devices. In such a situation, it is of prime importance to keep the security of the client’s information. Blind quantum computation protocols enable a client with limited quantum technology to delegate her quantum computation to a quantum server without leaking any privacy. To date, blind quantum computation has been considered only for an individual quantum system. However, practical universal quantum computer is likely to be a hybrid system. Here, we take the first step to construct a framework of blind quantum computation for the hybrid system, which provides a more feasible way for scalable blind quantum computation.

Keywords

Quantum computing Cloud quantum computing Blind quantum computation Hybrid system 

Notes

Acknowledgements

This work was supported by the National Basic Research Program of China (Grant No. 2013CB338002), National Natural Science Foundation of China (Grant Nos. 11504430 and 61502526).

References

  1. 1.
    Monz, T., Schindler, P., Barreiro, J.T., Chwalla, M., Nigg, D., Coish, W.A., Harlander, M., Hänsel, W., Hennrich, M., Blatt, R.: 14-qubit entanglement: creation and coherence. Phys. Rev. Lett. 106(13), 130506 (2011)ADSCrossRefGoogle Scholar
  2. 2.
    Nigg, D., Mueller, M., Martinez, E.A., Schindler, P., Hennrich, M., Monz, T., Martin-Delgado, M.A., Blatt, R.: Quantum computations on a topologically encoded qubit. Science 345(6194), 302–305 (2014)ADSMathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    Wang, X.L., Cai, X.D., Su, Z.E., Chen, M.C., Wu, D., Li, L., Liu, N.L., Lu, C.Y., Pan, J.W.: Quantum teleportation of multiple degrees of freedom of a single photon. Nature 518(7540), 516–519 (2015)ADSCrossRefGoogle Scholar
  4. 4.
    Wang, X.L., Chen, L.K., Li, W., Huang, H.L., Liu, C., Chen, C., Luo, Y.H., Su, Z.E., Wu, D., Li, Z.D., et al.: Experimental ten-photon entanglement. Phys. Rev. Lett. 117(21), 210502 (2016)ADSCrossRefGoogle Scholar
  5. 5.
    Lu, D., Li, K., Li, J., Katiyar, H., Park, A.J., Feng, G., Xin, T., Li, H., Long, G., Brodutch, A., et al.: Towards quantum supremacy: enhancing quantum control by bootstrapping a quantum processor. arXiv:1701.01198
  6. 6.
    Dai, H.N., Yang, B., Reingruber, A., Xu, X.F., Jiang, X., Chen, Y.A., Yuan, Z.S., Pan, J.W.: Generation and detection of atomic spin entanglement in optical lattices. Nat. Phys. 12, 783–787 (2016)CrossRefGoogle Scholar
  7. 7.
    Wu, Z., Zhang, L., Sun, W., Xu, X.T., Wang, B.Z., Ji, S.C., Deng, Y., Chen, S., Liu, X.J., Pan, J.W.: Realization of two-dimensional spin-orbit coupling for bose-einstein condensates. Science 354(6308), 83–88 (2016)ADSCrossRefGoogle Scholar
  8. 8.
    Barends, R., Shabani, A., Lamata, L., Kelly, J., Mezzacapo, A., Las Heras, U., Babbush, R., Fowler, A., Campbell, B., Chen, Y., et al.: Digitized adiabatic quantum computing with a superconducting circuit. Nature 534(7606), 222–226 (2016)ADSCrossRefGoogle Scholar
  9. 9.
    Barends, R., Kelly, J., Megrant, A., Veitia, A., Sank, D., Jeffrey, E., White, T.C., Mutus, J., Fowler, A.G., Campbell, B., et al.: Superconducting quantum circuits at the surface code threshold for fault tolerance. Nature 508(7497), 500–503 (2014)ADSCrossRefGoogle Scholar
  10. 10.
    Xiang, Z.L., Ashhab, S., You, J., Nori, F.: Hybrid quantum circuits: superconducting circuits interacting with other quantum systems. Rev. Mod. Phys. 85(2), 623 (2013)ADSCrossRefGoogle Scholar
  11. 11.
    Kurizki, G., Bertet, P., Kubo, Y., Mølmer, K., Petrosyan, D., Rabl, P., Schmiedmayer, J.: Quantum technologies with hybrid systems. In: Proceedings of National Academic Science USA 112, 13, pp. 3866–3873. National Acad Sciences (2015)Google Scholar
  12. 12.
    Broadbent, A., Fitzsimons, J., Kashefi, E.: Universal blind quantum computation. In: Proceedings of the 50th Annual IEEE Symposium on Foundations of Computer Science, pp. 517–526. IEEE (2009)Google Scholar
  13. 13.
    Aharonov, D., Ben-Or, M., Eban, E.: In: Proceedings of Innovations in Computer Science, p. 453. Tsinghua University Press (2010)Google Scholar
  14. 14.
    Fitzsimons, J.F., Kashefi, E.: Unconditionally verifiable blind computation. arXiv:1203.5217
  15. 15.
    Morimae, T., Fujii, K.: Blind topological measurement-based quantum computation. arXiv:1110.5460
  16. 16.
    Morimae, T., Fujii, K.: Blind topological measurement-based quantum computation. Nat. Commun. 3, 1036 (2012)ADSCrossRefGoogle Scholar
  17. 17.
    Morimae, T., Fujii, K.: Blind quantum computation protocol in which Alice only makes measurements. Phys. Rev. A 87(5), 050301 (2013)ADSCrossRefGoogle Scholar
  18. 18.
    Morimae, T.: Verification for measurement-only blind quantum computing. Phys. Rev. A 89(6), 060302 (2014)ADSCrossRefGoogle Scholar
  19. 19.
    Hayashi, M., Morimae, T.: Verifiable measurement-only blind quantum computing with stabilizer testing. Phys. Rev. Lett. 115(22), 220502 (2015)ADSCrossRefGoogle Scholar
  20. 20.
    Dunjko, V., Kashefi, E., Leverrier, A.: Blind quantum computing with weak coherent pulses. Phys. Rev. Lett. 108(20), 200502 (2012)ADSCrossRefGoogle Scholar
  21. 21.
    Dunjko, V., Kashefi, E.: Blind quantum computing with two almost identical states. arXiv:1604.01586
  22. 22.
    Hajdušek, M., Pérez-Delgado, C.A., Fitzsimons, J.F.: Device-independent verifiable blind quantum computation. arXiv:1502.02563
  23. 23.
    Gheorghiu, A., Kashefi, E., Wallden, P.: Robustness and device independence of verifiable blind quantum computing. New J. Phys. 17(8), 083040 (2015)ADSCrossRefGoogle Scholar
  24. 24.
    Gheorghiu, A., Wallden, P., Kashefi, E.: Rigidity of quantum steering and one-sided device-independent verifiable quantum computation. arXiv:1512.07401
  25. 25.
    Mantri, A., Pérez-Delgado, C.A., Fitzsimons, J.F.: Optimal blind quantum computation. Phys. Rev. Lett. 111(23), 230502 (2013)ADSCrossRefGoogle Scholar
  26. 26.
    Reichardt, B.W., Unger, F., Vazirani, U.: Classical command of quantum systems. Nature 496(7446), 456–460 (2013)ADSCrossRefGoogle Scholar
  27. 27.
    Pérez-Delgado, C.A., Fitzsimons, J.F.: Iterated gate teleportation and blind quantum computation. Phys. Rev. Lett. 114(22), 220502 (2015)CrossRefGoogle Scholar
  28. 28.
    Kashefi, E., Pappa, A.: Blind multiparty quantum computing. arXiv:1606.09200
  29. 29.
    Huang, H.L., Zhao, Y.W., Li, T., Li, F.G., Du, Y.T., Fu, X.Q., Zhang, S., Wang, X., Bao, W.S.: Homomorphic encryption experiments on ibms cloud quantum computing platform. Front. Phys. 12(1), 120305 (2017)CrossRefGoogle Scholar
  30. 30.
    Barz, S., Kashefi, E., Broadbent, A., Fitzsimons, J.F., Zeilinger, A., Walther, P.: Demonstration of blind quantum computing. Science 335(6066), 303–308 (2012)ADSMathSciNetCrossRefMATHGoogle Scholar
  31. 31.
    Barz, S., Fitzsimons, J.F., Kashefi, E., Walther, P.: Experimental verification of quantum computation. Nat. Phys. 9(11), 727–731 (2013)CrossRefGoogle Scholar
  32. 32.
    Fisher, K., Broadbent, A., Shalm, L., Yan, Z., Lavoie, J., Prevedel, R., Jennewein, T., Resch, K.: Quantum computing on encrypted data. Nat. Commun. 5, 3074 (2014)ADSCrossRefGoogle Scholar
  33. 33.
    Greganti, C., Roehsner, M.C., Barz, S., Morimae, T., Walther, P.: Demonstration of measurement-only blind quantum computing. New J. Phys. 18(1), 013020 (2016)ADSCrossRefGoogle Scholar
  34. 34.
    Marshall, K., Jacobsen, C.S., Schäfermeier, C., Gehring, T., Weedbrook, C., Andersen, U.L.: Continuous-variable quantum computing on encrypted data. Nat. Commun. 7, 13795 (2016)ADSCrossRefGoogle Scholar
  35. 35.
    Hensen, B., Bernien, H., Dréau, A., Reiserer, A., Kalb, N., Blok, M., Ruitenberg, J., Vermeulen, R., Schouten, R., Abellán, C., et al.: Experimental loophole-free violation of a bell inequality using entangled electron spins separated by 1.3 km. arXiv:1508.05949
  36. 36.
    Blinov, B., Moehring, D., Duan, L.M., Monroe, C.: Observation of entanglement between a single trapped atom and a single photon. Nature 428(6979), 153–157 (2004)ADSCrossRefGoogle Scholar
  37. 37.
    Togan, E., Chu, Y., Trifonov, A., Jiang, L., Maze, J., Childress, L., Dutt, M.G., Sørensen, A.S., Hemmer, P., Zibrov, A., et al.: Quantum entanglement between an optical photon and a solid-state spin qubit. Nature 466(7307), 730–734 (2010)ADSCrossRefGoogle Scholar
  38. 38.
    Briegel, H.J., Browne, D.E., Dür, W., Raussendorf, R., Van den Nest, M.: Measurement-based quantum computation. Nat. Phys. 5(1), 19–26 (2009)CrossRefGoogle Scholar
  39. 39.
    Raussendorf, R., Briegel, H.J.: A one-way quantum computer. Phys. Rev. Lett. 86(22), 5188 (2001)ADSCrossRefGoogle Scholar
  40. 40.
    Raussendorf, R., Browne, D.E., Briegel, H.J.: Measurement-based quantum computation on cluster states. Phys. Rev. A 68(2), 022312 (2003)ADSCrossRefGoogle Scholar
  41. 41.
    Raussendorf, R., Harrington, J., Goyal, K.: Topological fault-tolerance in cluster state quantum computation. New J. Phys. 9(6), 199 (2007)ADSMathSciNetCrossRefGoogle Scholar
  42. 42.
    Raussendorf, R., Harrington, J.: Fault-tolerant quantum computation with high threshold in two dimensions. Phys. Rev. Lett. 98(19), 190504 (2007)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  • He-Liang Huang
    • 1
    • 2
  • Wan-Su Bao
    • 1
    • 2
  • Tan Li
    • 1
    • 2
  • Feng-Guang Li
    • 1
    • 2
  • Xiang-Qun Fu
    • 1
    • 2
  • Shuo Zhang
    • 1
    • 2
  • Hai-Long Zhang
    • 1
    • 2
  • Xiang Wang
    • 1
    • 2
  1. 1.Henan Key Laboratory of Quantum Information and CryptographyZhengzhou Information Science and Technology InstituteZhengzhouChina
  2. 2.CAS Centre for Excellence and Synergetic Innovation Centre in Quantum Information and Quantum PhysicsUniversity of Science and Technology of ChinaHefeiChina

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