Bonus exercise: Imagine you have access to an experimental setup which allows measurement of the total energy Ezp for the two particles. Furthermore, you are able to measure the parity of each particle individually, corresponding to the operators II, = II @ 1 and I12 = 1 @ II. Discuss whether this setup allows to uniquely identify a Fock state (nj) @(n2) with unknown n and n2. If your answer is yes, design a measurement protocol which provides the desired information. If your answer no, discuss what is the largest energy Emax such that Fock states with energy between En and Emax can be uniquely identified, where En is the ground-state energy