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Projected Optimal Sensors from Operator Orbits
Sooryansh Asthana, Yeshma Ibrahim, Norman Tze Wei Koo, Sai Vinjanampathy·December 15, 2025
Quantum Physics
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Abstract
We unify Ramsey, twist-untwist, and random quantum sensors using operator algebra and account for the Fisher scaling of various sensor designs. We illustrate how the operator orbits associated with state preparation inform the scaling of the sensitivity with the number of subsystems. Using our unified model, we design a novel set of sensors in which a projected ensemble of quantum states exhibits beyond-shot-noise metrological performance. We also show favorable scaling of Fisher information with decoherence models and loss of particles.