退极化合唱团在高斯和谐中歌唱
A depolarizing choir sings in Gaussian harmony
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中文总结 AI 辅助
研究量子比特退极化信道正容量噪声阈值，通过对称子空间分析发现高斯信道，转化码优化下界，提供新视角。
中文摘要 AI 辅助
我们研究了量子比特退极化信道的正量子容量噪声阈值。我们解析地探索了在信道使用次数趋于无穷的极限下，量子比特退极化信道对输入量子比特对称子空间的作用。我们观察到玻色子高斯信道的出现。此外，先前为退极化信道开发的码可以转化为新兴高斯信道的码，并且针对更简单的新兴高斯信道进一步优化这些码更容易。将这些码转化回退极化信道，为退极化信道的相干信息提供了极好的输入态，产生了正容量噪声阈值的新下界。除了改进阈值下界外，这一新发现的退极化噪声与高斯信道之间的联系提供了一个新颖视角，有助于我们理解这些对称码。
英文摘要
We study the noise threshold for positive quantum capacity for the qubit depolarizing channel. We explore analytically the action of the qubit depolarizing channel on the symmetric subspaces of the input qubits, in the limit of asymptotically many uses of the channel. We observe the emergence of a bosonic Gaussian channel. Furthermore, the codes previously developed for the depolarizing channel can be translated to codes for the emergent Gaussian channel, and it is easier to further optimize these codes for the simpler emergent Gaussian channel. Translating these codes back to the depolarizing channel leads to extremely good input states for the coherent information of the depolarizing channel producing new lower bounds on the noise threshold for positive capacity. In addition to improved lower bounds on the threshold, this newly found link between depolarizing noise and Gaussian channels offers a novel perspective contributing to our understanding of these symmetric codes.
发表机构
- University of Waterloo（滑铁卢大学）
- University of Illinois Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校）
- Perimeter Institute for Theoretical Physics（理论物理前沿研究所）
机构由 AI 辅助整理，请以论文原文为准。
