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Quantum sensing is one of the key areas which exemplifies the superiority ofquantum technologies. Nonetheless, most quantum sensing protocols operateefficiently only when the unknown parameters vary within a very narrow region,i.e., local sensing. Here, we provide a systematic formulation for quantifyingthe precision of a probe for multi-parameter global sensing when there is noprior information about the parameters. In many-body probes, in which extratunable parameters exist, our protocol can tune the performance for harnessingthe quantum criticality over arbitrarily large sensing intervals. For thesingle-parameter sensing, our protocol optimizes a control field such that anIsing probe is tuned to always operate around its criticality. Thissignificantly enhances the performance of the probe even when the interval ofinterest is so large that the precision is bounded by the standard limit. Forthe multi-parameter case, our protocol optimizes the control fields such thatthe probe operates at the most efficient point along its critical line.Interestingly, for an Ising probe, it is predominantly determined by thelongitudinal field. Finally, we show that even a simple magnetizationmeasurement significantly benefits from our optimization and moderatelydelivers the theoretical precision.

Global sensing and its impact for quantum many-body probes with criticality