Ex10 29

$\def\abs#1{|#1|}\def\i{\mathbf {i}}\def\ket#1{|{#1}\rangle}\def\bra#1{\langle{#1}|}\def\braket#1#2{\langle{#1}|{#2}\rangle}\def\tr{\mathord{\mbox{tr}}}\mathbf{Exercise\ 10.29}$

a) Give an alternative operator sum decomposition for example 10.4.3.

b) Give an alternative operator sum decomposition for example 10.4.4.

c) Give a general condition for two sets of operators $\{A_i\}$ and $\{A_j'\}$ to give operator sum decompositions for the same superoperator.