论文标题

误差减轻量子电路切割

Error mitigated quantum circuit cutting

论文作者

Majumdar, Ritajit, Wood, Christopher J.

论文摘要

我们研究了在存在栅极和测量噪声的情况下,在量子电路切割问题上缓解了错误的断层扫描方法。我们探索两种特定于断层误差的缓解技术;读数错误减轻了条件片段断层扫描,该片段使用了在层析成像重建过程中所有剪切和条件量子测量值的读数错误知识;和主要的特征值截断(DEVT),旨在通过对重建中使用的单个条件断层扫描片段进行截断来提高电路切割的性能。我们发现,在存在对称测量误差的情况下,读出误差减轻层析成像和DEVT断层扫描的性能与切割相当。对于门错误,我们的数值结果表明,使用DEVT获得的原始电路的概率估算优于一般电路切割,用于测量,去极化和弱偏置的Pauli噪声模型,但不能改善振幅阻尼和相干误差的性能,并且可以极大地降低高度偏见的Pairi噪声的性能。在DEVT有效的情况下,它还发现,使用有条件的最小二乘断层扫描剂使用至少50%的完整层析成像数据来提高部分断层造影重建的性能,而在有或没有DEVT缓解的情况下,线性反转断层扫描与部分数据相差。

We investigate an error mitigated tomographic approach to the quantum circuit cutting problem in the presence of gate and measurement noise. We explore two tomography specific error mitigation techniques; readout error mitigated conditional fragment tomography, which uses knowledge of readout errors on all cut and conditional qubit measurements in the tomography reconstruction procedure; and dominant eigenvalue truncation (DEVT), which aims to improve the performance of circuit cutting by performing truncation of the individual conditional tomography fragments used in the reconstruction. We find that the performance of both readout error mitigated tomography and DEVT tomography are comparable for circuit cutting in the presence of symmetric measurement errors. For gate errors our numerical results show that probability estimates for the original circuit obtained using DEVT outperforms general circuit cutting for measurement, depolarization and weakly biased Pauli noise models, but does not improve performance for amplitude damping and coherent errors, and can greatly decrease performance for highly biased Pauli noise. In cases where DEVT was effective, it as also found to improve performance of partial tomographic reconstruction using at least 50% of the full tomographic data with a conditional least-squares tomographic fitter, while linear inversion tomography with or without DEVT mitigation was found to perform poorly with with partial data.

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