In quantum mechanics Hermitian operators acting on the Hilbert space of a system are observables. From what I understand this means that there is some measurement we can do such that the eigenvalues of this operator are the result.
But suppose that we given a system,
Then can the measurement corresponding to any general Hermitian operation be experimentally performed?
Are there any practical considerations that restrict what we can measure?
- If not then how does one design an experiment to measure a given observable (For instance in a two level spin system)?