I discuss the time reversal of nonlinear many-body Hamiltonians and its application to the fields of quantum metrology and quantum information science. I present the experimental realization of such a protocol in an optically engineered many-body spin Hamiltonian. We used time-reversed Hamiltonian approach to achieve metrological gains well beyond the limit of the readout scheme. Moreover, with the same protocol, we experimentally elucidate the intimate relation between quantum information scrambling, out-of-time-order correlators, and metrological gain. In particular, I will highlight the robustness of time reversal protocols, and how these render many fast-scrambling and complex Hamiltonians useful for quantum-enhanced metrology.

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Simone Colombo, "Time-reversal protocols for quantum-enhanced metrology," Proc. SPIE PC12447, Quantum Sensing, Imaging, and Precision Metrology, PC124470U (Presented at SPIE Quantum West: January 29, 2023; Published: 9 March 2023); https://doi.org/10.1117/12.2657174.6321510740112.