论文标题
在多模电网状态中编码量等处
Encoding qubits in multimode grid states
论文作者
论文摘要
在谐波振荡器模式下编码逻辑量子信息是一种实现量子计算机的有前途且硬件有效的方法。在这项工作中，我们建议在谐波振荡器模式集合的网格状态中编码逻辑Qubit。我们首先讨论有关这些多模骨代码的一般结果。如何设计它们，如何在不同的实验平台中实际实现它们，以及如何利用晶格对称性来执行逻辑的非克利福德操作。然后，我们详细介绍了两个基于高立管和D4晶格的两个两模式网格代码，显示了如何执行通用的一组逻辑操作。我们从数值上证明了多模网格代码与单模同行相比，具有增加稳健性，以与用于误差校正的Ancillas的误差传播相比。最后，我们重点介绍了多维晶格与与Qubit代码相连的单模网格代码之间的一些有趣的链接。
Encoding logical quantum information in harmonic oscillator modes is a promising and hardware-efficient approach to the realization of a quantum computer. In this work, we propose to encode logical qubits in grid states of an ensemble of harmonic oscillator modes. We first discuss general results about these multimode bosonic codes; how to design them, how to practically implement them in different experimental platforms and how lattice symmetries can be leveraged to perform logical non-Clifford operations. We then introduce in detail two two-mode grid codes based on the hypercubic and D4 lattices, respectively, showing how to perform a universal set of logical operations. We demonstrate numerically that multimode grid codes have, compared to their single-mode counterpart, increased robustness against propagation of errors from ancillas used for error correction. Finally, we highlight some interesting links between multidimensional lattices and single-mode grid codes concatenated with qubit codes.
