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Quantum metrology that employs weak-values can potentially effectuateparameter estimation with an ultra-high sensitivity and has been typicallyexplored across quantum optics setups. Recognizing the importance of sensitiveparameter estimation in the solid-state, we propose a spintronic deviceplatform to realize this. The setup estimates a very weak localized Zeemansplitting by exploiting a resonant tunneling enhanced magnetoresistancereadout. We establish that this paradigm offers nearly optimal performance witha quantum Fisher information enhancement of about $10^4$ times that of singlehigh-transmissivity barriers. The obtained signal also offers a highsensitivity in the presence of dephasing effects typically encountered in thesolid state. These results put forth definitive possibilities in harnessing theinherent sensitivity of resonant tunneling for solid-state quantum metrologywith potential applications, especially, in the sensitive detection of smallinduced Zeeman effects in quantum material heterostructures.

Resonant weak-value enhancement for solid-state quantum metrology