Blind quantum computation over a collective-noise channel

Yuki Takeuchi, Keisuke Fujii, Rikizo Ikuta, Takashi Yamamoto, and Nobuyuki Imoto
Phys. Rev. A 93, 052307 – Published 4 May 2016

Abstract

Blind quantum computation (BQC) allows a client (Alice), who only possesses relatively poor quantum devices, to delegate universal quantum computation to a server (Bob) in such a way that Bob cannot know Alice's inputs, algorithm, and outputs. The quantum channel between Alice and Bob is noisy, and the loss over the long-distance quantum communication should also be taken into account. Here we propose to use decoherence-free subspace (DFS) to overcome the collective noise in the quantum channel for BQC, which we call DFS-BQC. We propose three variations of DFS-BQC protocols. One of them, a coherent-light-assisted DFS-BQC protocol, allows Alice to faithfully send the signal photons with a probability proportional to a transmission rate of the quantum channel. In all cases, we combine the ideas based on DFS and the Broadbent-Fitzsimons-Kashefi protocol, which is one of the BQC protocols, without degrading unconditional security. The proposed DFS-based schemes are generic and hence can be applied to other BQC protocols where Alice sends quantum states to Bob.

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  • Received 13 February 2016

DOI:https://doi.org/10.1103/PhysRevA.93.052307

©2016 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Yuki Takeuchi1, Keisuke Fujii2,3, Rikizo Ikuta1, Takashi Yamamoto1, and Nobuyuki Imoto1

  • 1Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan
  • 2The Hakubi Center for Advanced Research, Kyoto University, Yoshida-Ushinomiya-cho, Sakyo-ku, Kyoto 606-8501, Japan
  • 3Graduate School of Science, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto 606-8502, Japan

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Issue

Vol. 93, Iss. 5 — May 2016

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