论文标题
Schwarma：一种基于模型的量子电路中时间相关噪声的方法
SchWARMA: A model-based approach for time-correlated noise in quantum circuits
论文作者
论文摘要
时间噪声相关性在量子系统中无处不在，但由于精确表征和建模所需的复杂性，在量子电路的分析中经常被忽略。自回旋移动平均值（ARMA）模型是时间序列分析的一种众所周知的技术，该技术模拟了数据中的时间相关性。通过识别具有特定矩阵歧管的完全正面痕量保留（CPTP）量子操作的空间，我们将ARMA模型推广到CPTP映射的空间，以参数化和模拟量子电路中的时间相关噪声。 SchrödingerWaveArma（Schwarma）表示，这种方法为从信号处理，控制理论和系统识别的经典技术概括提供了自然路径，而ARMA模型和线性系统至关重要。这使得经典信号处理的广泛理论可以应用于量子系统模拟，表征和降低噪声。
Temporal noise correlations are ubiquitous in quantum systems, yet often neglected in the analysis of quantum circuits due to the complexity required to accurately characterize and model them. Autoregressive moving average (ARMA) models are a well-known technique from time series analysis that model time correlations in data. By identifying the space of completely positive trace reserving (CPTP) quantum operations with a particular matrix manifold, we generalize ARMA models to the space of CPTP maps to parameterize and simulate temporally correlated noise in quantum circuits. This approach, denoted Schrödinger Wave ARMA (SchWARMA), provides a natural path for generalization of classic techniques from signal processing, control theory, and system identification for which ARMA models and linear systems are essential. This enables the broad theory of classical signal processing to be applied to quantum system simulation, characterization, and noise mitigation.
