Apply the superdense coding protocol. Suppose Alice and Bob share the entangled $2-$qubit

Bell state,

$|{}^{+}$:

with the first entry of each state associated with the qubit of Alice $($A$)$ and the second

with the qubit of Bob $($B$).$ Work through the protocol for the three examples not treated

in the lecture notes. These are the cases where Alice wants to communicate the two bits of

information, $(m,n)=(0,0),(1,0),$ and $(0,1)$ though sending just one qubit to Bob.