We present two primitive algorithms to evaluate overlaps and transition matrix time series, which are then used to construct several quantum-assisted quantum control algorithms. Unlike previous approaches, our method bypasses tomographically complete measurements and instead relies solely on single qubit measurements. We analyze circuit complexity of composed algorithms and sources of noise arising from Trotterization and measurement errors.

中文翻译：

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用于量子辅助量子控制的算法原语

我们提出了两种原始算法来评估重叠和转移矩阵时间序列，然后将其用于构建几种量子辅助量子控制算法。与以前的方法不同，我们的方法绕过了断层扫描完整的测量，而仅依赖于单个量子位测量。我们分析了组合算法的电路复杂性以及由 Trotterization 和测量误差引起的噪声源。