  Quantum mechanics, one of the keystones of modern physics, exhibits several
peculiar properties, differentiating it from classical mechanics. One of the
most intriguing is that variables might not have definite values. A complete
quantum description provides only probabilities for obtaining various
eigenvalues of a quantum variable. These and corresponding probabilities
specify the expectation value of a physical observable, which is known to be a
statistical property of an ensemble of quantum systems. In contrast to this
paradigm, we demonstrate a unique method allowing to measure the expectation
value of a physical variable on a single particle, namely, the polarisation of
a single protected photon. This is the first realisation of quantum protective
measurements.
