This is the third chapter of the anthology Protective Measurement And Quantum Reality (CUP, 2014). Here is its abstract:
Classical ergodicity retains its meaning in the quantum realm when the employed measurement is protective. This unique measuring technique is re-examined in the case of post-selection, giving rise to novel insights studied in the Heisenberg representation. Quantum statistical mechanics is then briefly described in terms of two-state density operators.
Full text in PDF of the paper can be found here.