Topological and subsystem codes on low-degree graphs with flag qubits

Christopher Chamberland, Guanyu Zhu, Theodore J. Yoder, Jared B. Hertzberg, Andrew W. Cross · 2019 · Phys. Rev. X 10, 011022 (2020)

| 编号 QE086 | 主题 拓扑码 | 链接 arXiv:1907.09528 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

In this work we introduce two code families, which we call the heavy hexagon code and heavy square code. Both code families are implemented by assigning physical data and ancilla qubits to both vertices and edges of low degree graphs. Such a layout is particularly suitable for superconducting qubit architectures to minimize frequency collisions and crosstalk. In some cases, frequency collisions can be reduced by several orders of magnitude. The heavy hexagon code is a hybrid surface/Bacon-Shor code due to the layout of the lattice, allowing for a wide range of implementation choices.

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