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Unified derivations of measurement-based schemes for quantum computation

Andrew M. Childs·Debbie W. Leung·Michael A. Nielsen
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Abstract

We present unified, systematic derivations of schemes in the two known measurement-based models of quantum computation. The first model (introduced by Raussendorf and Briegel [Phys. Rev. Lett., 86, 5188 (2001)]) uses a fixed entangled state, adaptive measurements on single qubits, and feedforward of the measurement results. The second model (proposed by Nielsen [Phys. Lett. A, 308, 96 (2003)] and further simplified by Leung [Int. J. Quant. Inf., 2, 33 (2004)]) uses adaptive two-qubit measurements that can be applied to arbitrary pairs of qubits, and feedforward of the measurement results. The underlying principle of our derivations is a variant of teleportation introduced by Zhou, Leung, and Chuang [Phys. Rev. A, 62, 052316 (2000)]. Our derivations unify these two measurement-based models of quantum computation and provide significantly simpler schemes.

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Andrew M. Childs, Debbie W. Leung, Michael A. Nielsen. 2004-06-28. Unified derivations of measurement-based schemes for quantum computation. https://doi.org/10.1103/physreva.71.032318

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