# Is there a list of known quantum measurements?

Quantum Measurement can be divided into General Measurements, Projective measurements and general POVMs. And there are also some special kinds of quantum measurements that have their own name, such as :

• A POVM alone is only able to describe the measurement statistics. To describe post-measurement states, we have to go beyond POVMs and define the actual quantum channel corresponding to the measurement. This is sometimes called a "quantum instrument". Note that many quantum instruments correspond to the same POVM. This is due to the non-uniqueness of a "square root" $M$ for a given effect $E=M^\dagger M$. Apr 27 at 11:55