Phase-space approach to continuous variable quantum teleportation

The phase-space method is applied for considering continuous variable quantum teleportation. It is found that the continuous variable quantum teleportation transforms the s-parametrized phase-space function of an input state into the (s+δ)-parametrized phase-space function, where the parameter δ is determined by the shared quantum entanglement. It is shown from this result that the Wigner function of the teleported state is always non-negative for F_c⩽2∕3 and the Glauber-Sudarshan P function non-negative for F_c⩽1∕2, where F_c is the fidelity of the coherent-state teleportation. Furthermore the fidelity between input and output states is calculated when Gaussian states are teleported.