广义超快编码的首次容错量子存储器演示
First fault-tolerant quantum memory demonstration for a generalized superfast encoding
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中文总结 AI 辅助
本研究提出一种偶数距离的广义超快编码，实现恒定稳定子权重，并首次在电路级噪声下演示其容错量子存储器，阈值约为4×10⁻³。
中文摘要 AI 辅助
广义超快编码（GSE）是一种具有纠错/检错性质的费米子到量子比特的映射。迄今为止，所有演示仅限于检错，因为在电路级噪声下尚未观察到容错性。在此，我们引入一种偶数距离$d$的恒定稳定子权重的GSE，其中$N$个模式中的每一个被分配到一个排列在环上的$d$量子比特块。所得的稳定子生成器对于任何偶数距离$d$具有恒定的权重4或6。此外，这种构造的完整稳定子集总是可以划分为四个量子比特-wise交换群，这实现了紧凑的综合征提取调度。我们在电路级去极化噪声下模拟了该码的两个实例$[[48,8,6]]$和$[[64,8,8]]$的量子存储器实验，并观察到阈值约为$4\ imes10^{-3}$。据我们所知，这是费米子映射具有阈值类缩放的首次容错量子存储器表征。
英文摘要
The Generalized Superfast Encoding (GSE) is a fermion-to-qubit mapping that has error-correcting/detecting properties. To this point, all demonstrations have been relegated to error-detection only, as no fault-tolerance under circuit-level noise has been observed. Here, we introduce an even-distance $d$ constant stabilizer-weight GSE where each of $N$ modes is assigned a $d$-qubit block arranged on a ring. The resulting stabilizer generators have constant weight 4 or 6 for any even distance $d$. Furthermore, the full stabilizer set of this construction can always be partitioned into four qubit-wise commuting groups, which enables compact syndrome-extraction scheduling. We simulate quantum memory experiments under circuit-level depolarizing noise for two instances of this code, $[[48,8,6]]$ and $[[64,8,8]]$ and the threshold is observed to be $\approx 4\times10^{-3}$. This is, to our knowledge, the first fault-tolerant quantum-memory characterization of a fermion-mapping with threshold-like scaling.
发表机构
- qBraid Co.（qBraid公司）
机构由 AI 辅助整理，请以论文原文为准。
