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Existing super-resolution methods of optical imaging hold a solid place as anapplication in natural sciences, but many new developments allow for beatingthe diffraction limit in a more subtle way. One of the recently exploredstrategies to fully exploit information already present in the field is toperform a quantum-inspired tailored measurements. Here we exploit the fullspectral information of the optical field in order to beat the Rayleigh limitin spectroscopy. We employ an optical quantum memory with spin-wave storage andan embedded processing capability to implement a time-inversion interferometerfor input light, projecting the optical field in the symmetric-antisymmetricmode basis. Our tailored measurement achieves a resolution of 15 kHz andrequires 20 times less photons than a corresponding Rayleigh-limitedconventional method. We demonstrate the advantage of our technique over bothconventional spectroscopy and heterodyne measurements, showing potential forapplication in distinguishing ultra-narrowband emitters, optical communicationchannels, or signals transduced from lower-frequency domains.

Optical-domain spectral super-resolution via a quantum-memory-based time-frequency processor