“…[5][6][7][8][9] Insights from information theory are proving useful in identifying new routes toward optical super-resolution in a vast variety of microscopy-, astronomy-, and signal-analysis-related tasks, including single-molecule detection and fluorescent-nanoprobeassisted neural readout, as well as nanoscale quantum memories and quantum biosensors. [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] Extending information-theory concepts to spectral analysis could help enhance the performance of a vast class of optical systems whose operation relies on the detection of weak distortions of spectral lines or a discrimination of closely spaced spectral features. This class of instruments has been rapidly growing as one of the recent trends in optical science, expanding to harness new technologies and explore new applications, such as multiplex optical bioimaging, [25,26] electric-and magnetic-field sensing, [27,28] high-precision thermometry, [29][30][31] trace-gas analysis, [32,33] and virus detection.…”