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Blind quantum computation for quantum Fourier transform on Bell states

Research paper by Xiaoqian Zhang, Jian Weng, Weiqi Luo, Xiaoqing Tan

Indexed on: 21 Dec '17Published on: 21 Dec '17Published in: arXiv - Quantum Physics



Abstract

In a secure quantum computing protocol, a client who has limited quantum technologies can delegate her quantum computing to a server who has fully-advanced quantum computers without leaking any privacy of her quantum inputs, algorithms and outputs, which is called blind quantum computation(BQC). In this paper, we mainly study how to hide quantum fourier transform (QFT) performed on Bell states. We first give the equivalently quantum circuits of QFT performed on qubits 12 of one Bell state belonging to $\{|\phi^\pm\rangle_{12},$ $|\psi^\pm\rangle_{12}\}$ and relevant BQC protocols. Second we show the equivalently quantum circuits of QFT performed on qubits 13 of any two Bell states $|\xi\rangle_{12}\otimes|\theta\rangle_{34}$ and relevant BQC protocols. Then we give the equivalently quantum circuits of QFT performed on qubits 13 and 24 of any two Bell states respectively and relevant BQC protocols. At last, we analyze and prove the blindness and correctness.