Union Jack格上的拓扑色码：Clifford群的稳定实现
Topological color codes on Union Jack lattices: A stable implementation of the whole Clifford group
摘要：
我们研究的错误阈值的拓扑色码的米字格上，允许完全实现整个克利福德组的量子门。在将误差校正过程映射到一个统计力学随机三体伊辛模型的米字格上后，我们用蒙特卡罗模拟计算了它在温度无序平面上的相图。令人惊讶的是，在米字格上的拓扑色码具有与三角形格上的色码以及Kitaev复曲面码相似的错误稳定性。增强的计算能力的拓扑颜色代码的米字格相对于三角形格子和复曲面代码证明了这种实现的固有的鲁棒性。
英文摘要：
We study the error threshold of topological color codes on Union Jack lattices that allow for the full implementation of the whole Clifford group of quantum gates. After mapping the error-correction process onto a statistical mechanical random 3-body Ising model on a Union Jack lattice, we compute its phase diagram in the temperature-disorder plane using Monte Carlo simulations. Surprisingly, topological color codes on Union Jack lattices have similar error stability than color codes on triangular lattices, as well as the Kitaev toric code. The enhanced computational capabilities of the topological color codes on Union Jack lattices with respect to triangular lattices and the toric code demonstrate the inherent robustness of this implementation.
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