Universal blind quantum computation for hybrid system
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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 systemNotes
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.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.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.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.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.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.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.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.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.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.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.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.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.Aharonov, D., Ben-Or, M., Eban, E.: In: Proceedings of Innovations in Computer Science, p. 453. Tsinghua University Press (2010)Google Scholar
- 14.Fitzsimons, J.F., Kashefi, E.: Unconditionally verifiable blind computation. arXiv:1203.5217
- 15.Morimae, T., Fujii, K.: Blind topological measurement-based quantum computation. arXiv:1110.5460
- 16.Morimae, T., Fujii, K.: Blind topological measurement-based quantum computation. Nat. Commun. 3, 1036 (2012)ADSCrossRefGoogle Scholar
- 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.Morimae, T.: Verification for measurement-only blind quantum computing. Phys. Rev. A 89(6), 060302 (2014)ADSCrossRefGoogle Scholar
- 19.Hayashi, M., Morimae, T.: Verifiable measurement-only blind quantum computing with stabilizer testing. Phys. Rev. Lett. 115(22), 220502 (2015)ADSCrossRefGoogle Scholar
- 20.Dunjko, V., Kashefi, E., Leverrier, A.: Blind quantum computing with weak coherent pulses. Phys. Rev. Lett. 108(20), 200502 (2012)ADSCrossRefGoogle Scholar
- 21.Dunjko, V., Kashefi, E.: Blind quantum computing with two almost identical states. arXiv:1604.01586
- 22.Hajdušek, M., Pérez-Delgado, C.A., Fitzsimons, J.F.: Device-independent verifiable blind quantum computation. arXiv:1502.02563
- 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.Gheorghiu, A., Wallden, P., Kashefi, E.: Rigidity of quantum steering and one-sided device-independent verifiable quantum computation. arXiv:1512.07401
- 25.Mantri, A., Pérez-Delgado, C.A., Fitzsimons, J.F.: Optimal blind quantum computation. Phys. Rev. Lett. 111(23), 230502 (2013)ADSCrossRefGoogle Scholar
- 26.Reichardt, B.W., Unger, F., Vazirani, U.: Classical command of quantum systems. Nature 496(7446), 456–460 (2013)ADSCrossRefGoogle Scholar
- 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.Kashefi, E., Pappa, A.: Blind multiparty quantum computing. arXiv:1606.09200
- 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.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.Barz, S., Fitzsimons, J.F., Kashefi, E., Walther, P.: Experimental verification of quantum computation. Nat. Phys. 9(11), 727–731 (2013)CrossRefGoogle Scholar
- 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.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.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.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.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.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.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.Raussendorf, R., Briegel, H.J.: A one-way quantum computer. Phys. Rev. Lett. 86(22), 5188 (2001)ADSCrossRefGoogle Scholar
- 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.Raussendorf, R., Harrington, J., Goyal, K.: Topological fault-tolerance in cluster state quantum computation. New J. Phys. 9(6), 199 (2007)ADSMathSciNetCrossRefGoogle Scholar
- 42.Raussendorf, R., Harrington, J.: Fault-tolerant quantum computation with high threshold in two dimensions. Phys. Rev. Lett. 98(19), 190504 (2007)ADSCrossRefGoogle Scholar