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arXiv 1909.10697quant-ph
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拓扑动力学解耦

Topological Dynamical Decoupling

Jiang Zhang, Xiao-Dong Yu, Gui-Lu Long, Qi-Kun Xue

摘要:

我们表明,拓扑等价类的圆在一个二维的正方形晶格可以用来设计动态解耦程序,以保护量子比特附加在边缘的晶格。基于原格和对偶格中拓扑平凡类的圆,我们设计了一个过程,该过程从量子比特的动力学中去除各种局部哈密顿量,同时保持存储在同调自由度中的信息不变。如果只考虑线性无关的相互作用和最近邻的两量子比特相互作用,则可以设计一个简单得多的过程,包括四个等价类的圆。这个过程是兼容的欧拉和级联的动态卷积,这使得有可能实现的过程与有界强度控制和一个很长的时间。作为一个应用,它表明,我们的方法可以直接推广到有限的正方形格子,以抑制不可纠正的错误,表面码。

英文摘要:

We show that topological equivalence classes of circles in a two-dimensional square lattice can be used to design dynamical decoupling procedures to protect qubits attached on the edges of the lattice. Based on the circles of the topologically trivial class in the original and the dual lattices, we devise a procedure which removes all kinds of local Hamiltonians from the dynamics of the qubits while keeping information stored in the homological degrees of freedom unchanged. If only the linearly independent interaction and nearest-neighbor two-qubit interactions are concerned, a much simpler procedure which involves the four equivalence classes of circles can be designed. This procedure is compatible with Eulerian and concatenated dynamical decouplings, which make it possible to implement the procedure with bounded-strength controls and for a long time period. As an application, it is shown that our method can be directly generalized to finite square lattices to suppress uncorrectable errors in surface codes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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