组合探测器误差模型
Composing Detector Error Models
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中文总结 AI 辅助
本文提出扩展探测器误差模型(EDEMs),支持序列与并行组合,实现容错量子程序中探测器在电路边界间的拆分与误差模型恢复,连接逻辑操作设计与量子程序解码。
中文摘要 AI 辅助
容错量子程序将可复用的逻辑操作串联在一起,但纠错需要在操作边界之间比较测量结果。相关性将每个操作的误差分析与围绕它的计算联系起来。自适应计算使这成为一个运行时挑战:测量结果决定下一步执行哪个操作,因此误差分析必须跟上执行进度。我们引入了扩展探测器误差模型(EDEMs),它可以在序列和并行中组合,镜像物理实现及其探测器契约的组合方式。我们证明了用于诊断误差的测量奇偶性——探测器——如何在电路边界间拆分,并建立了组合恢复组装电路探测器误差模型的条件。这种结构支持对整族电路进行符号预编译和分析。它还定义了用于解码窗口的误差模型,以及已提交的修正影响后续窗口的边界信息。因此,同一接口将单个逻辑操作的设计与展开中的量子程序的解码连接起来。
英文摘要
Fault-tolerant quantum programs thread together reusable logical operations, yet correcting errors requires comparing measurements across operation boundaries. Correlations tie each operation's error analysis to the computation around it. Adaptive computation makes this a runtime challenge: measurement results determine which operation comes next, so the error analysis must keep pace with execution. We introduce extended detector error models (EDEMs), which compose in sequence and in parallel, mirroring the composition of physical realizations and their detector contracts. We prove how detectors, the measurement parities used to diagnose errors, can be split across circuit boundaries, and establish conditions under which composition recovers the assembled circuit's detector error model. This structure supports symbolic precompilation and analysis of entire families of circuits. It also defines error models for decoding windows and the boundary information through which committed corrections affect subsequent windows. The same interface thus connects the design of individual logical operations to the decoding of an unfolding quantum program.
发表机构
- NVIDIA Corporation(英伟达公司)
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