Avoiding coherent errors with rotated concatenated stabilizer codes
Avoiding coherent errors with rotated concatenated stabilizer codes
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DOI：
10.1038/s41534-021-00429-8
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发表时间：
2021-06
影响因子：
7.6
通讯作者：
Yingkai Ouyang
中科院分区：
文献类型：
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作者：
Yingkai Ouyang
相干误差是由集体耦合产生的，是许多现实量子系统中主要的噪声形式，并且比通常认为的随机误差更具破坏性。本文提出用码级联的方法将稳定器码与恒激励码集成。也就是说，通过将[[n，k，d]]个稳定器外码与双轨内码串联，我们得到了一个[[2n，k，d]]个不受相干相位误差影响的恒激励码，并且等效于保利旋转稳定器码。当稳定器外码容错时，定激励码对随机误差具有正容错阈值。将外部代码设置为4量子位振幅阻尼代码，可以产生8量子位恒定激励代码，该代码可以纠正单个振幅阻尼错误，并且我们分析了该代码作为量子存储器的潜力。
Coherent errors, which arise from collective couplings, are a dominant form of noise in many realistic quantum systems, and are more damaging than oft considered stochastic errors. Here, we propose integrating stabilizer codes with constant-excitation codes by code concatenation. Namely, by concatenating an [[n,k,d]] stabilizer outer code with dual-rail inner codes, we obtain a [[2n,k,d]] constant-excitation code immune from coherent phase errors and also equivalent to a Pauli-rotated stabilizer code. When the stabilizer outer code is fault-tolerant, the constant-excitation code has a positive fault-tolerant threshold against stochastic errors. Setting the outer code as a four-qubit amplitude damping code yields an eight-qubit constant-excitation code that corrects a single amplitude damping error, and we analyze this code’s potential as a quantum memory.