“…Over the last few decades, lots of experimental systems, such as multi-photon interferometers [4,[14][15][16], trapped ions [17,18], superconducting circuits [19], and solid-spin [7,20,21], exploited quantum entanglement to demonstrate this nonclassical sensitivity. To extend current results for widely high precision metrology applications, it is natural to consider the continuous [22][23][24][25][26] nature of the detected signal, which can be categorized as an arbitrary waveform estimation to further construct a quantum version of oscilloscope. Unlike scalar and vector estimation [1][2][3][4][5][6][7], arbitrary waveform estimation involves infinite degrees of freedom.…”