Quantum Prisoner's Dilemma in the new representation

Using the representation introduced in our another paper\cite{frame}, the well-known Quantum Prisoner's Dilemma proposed in \cite{jens}, is reexpressed and calculated. By this example and the works in \cite{frame} on classical games and Quantum Penny Flip game, which first proposed in \cite{meyer}, we show that our new representation can be a general framework for games originally in different forms.