  Building on work by Tsirelson, we present a family of protocols that detect
the nonclassicality of suitable states of a single quantum system, under the
sole assumption that the measured dynamical observable undergoes a uniform
precession. The case of the harmonic oscillator was anticipated in the work by
Tsirelson, which we extend. We then apply the protocols to finite-dimensional
spins that undergo uniform precession in real space and find a gap between the
classical and the quantum expectations for every $j\geq \frac{3}{2}$ (excluding
$j=2$).

Quantum Physics