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Springer eBooks

Quantum Computing and Communications: A View from the USA

Colin P. Williams

Published Jan 1, 1999• 6 citations
Publisher
DOI
10.1007/978-1-4471-0839-9_16

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Lecture notes in computer science•Jan 1, 1999•184 citations
P. J. J. O’Malley,1, ∗ J. Kelly,1, ∗ R. Barends,1, ∗ B. Campbell,1 Y. Chen,1 Z. Chen,1 B. Chiaro,1 A. Dunsworth,1 A. G. Fowler,1, 2 I.-C. Hoi,1 E. Jeffrey,1 A. Megrant,1, 3 J. Mutus,1 C. Neill,1 C. Quintana,1 P. Roushan,1 D. Sank,1 A. Vainsencher,1 J. Wenner,1 T. C. White,1 A. N. Korotkov,4 A. N. Cleland,1 and John M. Martinis1 Department of Physics, University of California, Santa Barbara, CA 93106, USA Centre for Quantum Computation and Communication Technology, School of Physics, The University of Melbourne, Victoria 3010, Australia Department of Materials, University of California, Santa Barbara, CA 93106, USA Department of Electrical and Computer Engineering, University of California, Riverside, CA 92521, USA
The universal blind quantum computation (UBQC) protocol [A. Broadbent, J. Fitzsimons, and E. Kashefi, in Proceedings of the 50th Annual IEEE Symposiumon Foundations of Computer Science (IEEE Computer Society, Los Alamitos, CA, USA, 2009), pp. 517-526.] allows a client to perform quantum computation on a remote server. In an ideal setting, perfect privacy is guaranteed if the client is capable of producing specific, randomly chosen single qubit states. While from a theoretical point of view, this may constitute the lowest possible quantum requirement, from a pragmatic point of view, generation of such states to be sent along long distances can never be achieved perfectly. We introduce the concept of ϵ blindness for UBQC, in analogy to the concept of ϵ security developed for other cryptographic protocols, allowing us to characterize the robustness and security properties of the protocol under possible imperfections. We also present a remote blind single qubit preparation protocol with weak coherent pulses for the client to prepare, in a delegated fashion, quantum states arbitrarily close to perfect random single qubit states. This allows us to efficiently achieve ϵ-blind UBQC for any ϵ>0, even if the channel between the client and the server is arbitrarily lossy.