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Motivated by applications to covert quantum radar, we analyze a covertquantum sensing problem, in which a legitimate user aims at estimating anunknown parameter taking finitely many values by probing a quantum channelwhile remaining undetectable from an adversary receiving the probing signalsthrough another quantum channel. When channels are classical-quantum, wecharacterize the optimal error exponent under a covertness constraint forsensing strategies in which probing signals do not depend on past observations.When the legitimate user's channel is a unitary depending on the unknownparameter, we provide achievability and converse results that show how one cansignificantly improve covertness using an entangled input state.

On Covert Quantum Sensing and the Benefits of Entanglement