论文标题
避免使用旋转的串联稳定器代码的连贯错误
Avoiding coherent errors with rotated concatenated stabilizer codes
论文作者
论文摘要
相干误差是由集体耦合引起的，它是许多逼真的量子系统中的主要噪声形式，并且比经常考虑的随机误差更具破坏性。在这里，我们建议通过代码串联整合稳定器代码与恒定激发代码。也就是说，通过将$ [[N，K，D]] $稳定器外代码与双轨内部代码相结合，我们获得了$ [[2N，K，D]] $恒定激素代码免疫从连贯的相误差中免疫，并且等于Pauli-Rotated稳定器代码。当稳定器外代码易于故障时，恒定偏置代码在随机误差上具有正耐断层阈值。将外部代码设置为四量幅度阻尼代码会产生八个Qubit的恒定启动代码，该代码纠正单个振幅阻尼错误，我们将该代码的潜力分析为量子内存。
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.
