论文标题

基于概率误差减少的自动化量子错误缓解

Automated quantum error mitigation based on probabilistic error reduction

论文作者

McDonough, Benjamin, Mari, Andrea, Shammah, Nathan, Stemen, Nathaniel T., Wahl, Misty, Zeng, William J., Orth, Peter P.

论文摘要

当前的量子计算机遭受一定程度的噪声,该噪声禁止直接从更长的计算中提取有用的结果。在许多近期量子算法中,优异算法是在计算结束时测量的期望值,在存在硬件噪声的情况下会遇到偏见。消除这种偏见的系统方法是取消概率误差(PEC)。 PEC需要对噪声进行全面表征,并引入了一个抽样开销,该开销在电路深度呈指数增加,禁止在逼真的噪声水平下高深度电路。概率误差减少(PER)是一种相关的量子误差方法,该方法以重新引入偏差为代价系统地减少了采样开销。结合零噪声外推,每个可以产生的期望值与PEC相当。通过PER降低量很大程度上非常适用于近期算法,因此,PER的自动实现是可促进其广泛使用的。为此,我们提出了一个自动化量子错误缓解软件框架,其中包括噪声断层扫描和对用户指定电路的应用。 We provide a multi-platform Python package that implements a recently developed Pauli noise tomography (PNT) technique for learning a sparse Pauli noise model and exploits a Pauli noise scaling method to carry out PER.We also provide software tools that leverage a previously developed toolchain, employing PyGSTi for gate set tomography and providing a functionality to use the software Mitiq for PER and zero-noise extrapolation to obtain error-mitigated expectation values在用户定义的电路上。

Current quantum computers suffer from a level of noise that prohibits extracting useful results directly from longer computations. The figure of merit in many near-term quantum algorithms is an expectation value measured at the end of the computation, which experiences a bias in the presence of hardware noise. A systematic way to remove such bias is probabilistic error cancellation (PEC). PEC requires a full characterization of the noise and introduces a sampling overhead that increases exponentially with circuit depth, prohibiting high-depth circuits at realistic noise levels. Probabilistic error reduction (PER) is a related quantum error mitigation method that systematically reduces the sampling overhead at the cost of reintroducing bias. In combination with zero-noise extrapolation, PER can yield expectation values with an accuracy comparable to PEC.Noise reduction through PER is broadly applicable to near-term algorithms, and the automated implementation of PER is thus desirable for facilitating its widespread use. To this end, we present an automated quantum error mitigation software framework that includes noise tomography and application of PER to user-specified circuits. We provide a multi-platform Python package that implements a recently developed Pauli noise tomography (PNT) technique for learning a sparse Pauli noise model and exploits a Pauli noise scaling method to carry out PER.We also provide software tools that leverage a previously developed toolchain, employing PyGSTi for gate set tomography and providing a functionality to use the software Mitiq for PER and zero-noise extrapolation to obtain error-mitigated expectation values on a user-defined circuit.

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