论文标题
部分可观测时空混沌系统的无模型预测
Optimizing the information extracted by a single qubit measurement
论文作者
论文摘要
我们考虑了一个量子计算，该计算仅提取每$ n $ qubit量子状态准备的一点点信息。这与误差缓解方案有关，其中测量系统的其余部分以检测错误。我们通过将其线性分解为可取得的术语优化了操作员的期望值的估计。我们证明，最佳分解必须是根据特征值$ \ pm1 $的反思。我们发现可快速操作员的最佳反射分解，并通过因子$ n^{0.7} $对简单的Pauli分解显示了数值改进
We consider a quantum computation that only extracts one bit of information per $N$-qubit quantum state preparation. This is relevant for error mitigation schemes where the remainder of the system is measured to detect errors. We optimize the estimation of the expectation value of an operator by its linear decomposition into bitwise-measurable terms. We prove that optimal decompositions must be in terms of reflections with eigenvalues $\pm1$. We find the optimal reflection decomposition of a fast-forwardable operator, and show a numerical improvement over a simple Pauli decomposition by a factor $N^{0.7}$
