Low-overhead surface code logical Hadamard

Austin G. Fowler

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arXiv · 1202.2639

Low-overhead surface code logical Hadamard

Austin G. Fowler

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Abstract

We present an improved low-overhead implementation of surface code logical H. We describe in full detail logical H applied to a single distance 7 double-defect logical qubit in an otherwise idle scalable array such qubits. Our goal is to provide a clear description of logical H and to emphasize that the surface code possesses low-overhead implementations of the entire Clifford group.

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Austin G. Fowler. 2012-02-13. Low-overhead surface code logical Hadamard. https://arxiv.org/abs/1202.2639

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