Topological and Subsystem Codes on Low-Degree Graphs with Flag Qubits

In this work we introduce two code families, which we call the heavy-hexagon code and the 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 qu...

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Bibliographic Details
Main Authors: Christopher Chamberland, Guanyu Zhu, Theodore J. Yoder, Jared B. Hertzberg, Andrew W. Cross
Format: Article
Language:English
Published: American Physical Society 2020-01-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.10.011022