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Experimentally achieving the precision that standard quantum metrologyschemes promise is always challenging. Recently, additional controls wereapplied to design feasible quantum metrology schemes. However, these approachesgenerally does not consider ease of implementation, raising technologicalbarriers impeding its realization. In this paper, we circumvent this problem byapplying closed-loop learning control to propose a practical controlledsequential scheme for quantum metrology. Purity loss of the probe state, whichrelates to quantum Fisher information, is measured efficiently as the fitnessto guide the learning loop. We confirm its feasibility and certainsuperiorities over standard quantum metrology schemes by numerical analysis andproof-of-principle experiments in a nuclear magnetic resonance (NMR) system.

Probe optimization for quantum metrology via closed-loop learning control