论文标题
QUBIT-oscillator串联代码：解码形式主义和代码比较
Qubit-oscillator concatenated codes: decoding formalism & code comparison
论文作者
论文摘要
与Qubit代码相连的授予验证校正校正代码可以显着提高原始Qubit代码的错误校正功能。鉴于有几种骨器代码和串联方案，包括最近发现的GKP-Stabilizer代码[Phys。莱特牧师。 125，080503（2020）}]，允许保护逻辑骨模式免受模式偶联变量的波动。我们开发了有效的最大样品解码器，用于并分析从以下组中获取的三种不同代码串联的性能：量子稳定器代码，模拟/高斯稳定器代码，GKP代码和GKP稳定器代码。我们针对加性高斯白噪声进行了基准测试性能，通过分析计算来证实我们的数字。我们观察到，涉及GKP-Stabilizer代码的串联在某些情况下与GKP代码更常规的串联串联串联。我们还提出了一个GKP-stabilizer代码，该代码抑制了两个共轭变量的波动，而无需额外的正交挤压，并制定了GKP-Stabilizer代码的QUDIT版本。
Concatenating bosonic error-correcting codes with qubit codes can substantially boost the error-correcting power of the original qubit codes. It is not clear how to concatenate optimally, given there are several bosonic codes and concatenation schemes to choose from, including the recently discovered GKP-stabilizer codes [Phys. Rev. Lett. 125, 080503 (2020)}] that allow protection of a logical bosonic mode from fluctuations of the mode's conjugate variables. We develop efficient maximum-likelihood decoders for and analyze the performance of three different concatenations of codes taken from the following set: qubit stabilizer codes, analog/Gaussian stabilizer codes, GKP codes, and GKP-stabilizer codes. We benchmark decoder performance against additive Gaussian white noise, corroborating our numerics with analytical calculations. We observe that the concatenation involving GKP-stabilizer codes outperforms the more conventional concatenation of a qubit stabilizer code with a GKP code in some cases. We also propose a GKP-stabilizer code that suppresses fluctuations in both conjugate variables without extra quadrature squeezing, and formulate qudit versions of GKP-stabilizer codes.
