5. The following circuit represents a Bell state generator. H Unfortunately, the Bell state generator is constructed with a Hadamard gate, Hactual that cannot be ideally realized. The transfer matrix for Hactual is: E 1 [1+ 00 1+601 21+ 10 -1 + 1] Hactual A quantum engineer wishes to model the Bell state generator with the following circuit where the E gate is a fault model that accounts for the non-ideal Hadamard gate. H a) (5 points) Find the transfer matrix E for the fault model gate. For full credit, show your derivation and give the explicit form of E.