用于生成量子序的噪声鲁棒顺序电路
Noise-resilient sequential circuits for generating quantum order
浏览论文内容
中文总结 AI 辅助
本文提出一类在泡利噪声下仍能制备非平凡量子序的酉顺序电路，通过利用目标态综合征的空间结构并用局部门抑制错误传播，适用于对称性破缺序和拓扑序，并需非克利福德门及测量反馈。
中文摘要 AI 辅助
顺序电路为酉制备长程有序量子态提供了一条最优线性深度的途径，但电路级噪声可能比制备后施加的噪声更具破坏性：局部错误可能被后续门传播为非局部缺陷，从而破坏目标有序态。在本工作中，我们提出了在泡利噪声存在下制备某些非平凡有序态的酉顺序电路类别。我们的构造利用了目标态综合征的空间结构，在某些情况下，这使我们能够使用严格局部门系统地抑制错误的传播。该策略既可应用于对称性破缺序（我们给出了一个三维示例），也可应用于拓扑序（我们在四维环面码上进行了展示）。我们还强调了这种对错误的稳定性如何需要非克利福德门，以及测量反馈回路如何也能用于稳定低维态。
英文摘要
Sequential circuits provide an optimal linear-depth route to unitarily preparing long-range ordered quantum states, but circuit-level noise can be far more damaging than noise applied after preparation: local errors may be propagated by subsequent gates into nonlocal defects that destroy the target order. In this work, we present classes of unitary sequential circuits that prepare certain non-trivial orders in the presence of Pauli noise. Our constructions exploit the spatial structure of the syndromes of the target state, which in certain cases allows us to systematically suppress the propagation of errors using strictly local gates. The strategy can be applied both to symmetry-breaking order, for which we present a 3D example, and to topological order, which we showcase on a 4D version of the toric code. We also highlight how this stability against errors necessitates non-Clifford gates, and how measurement-feedback loops can be used to stabilize lower-dimensional states as well.
发表机构
- Technical University of Munich（慕尼黑工业大学）
- Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与工程中心）
- University of British Columbia（不列颠哥伦比亚大学）
机构由 AI 辅助整理，请以论文原文为准。
