Continuous variable teleportation with indefinite causal order

Continuous variable teleportation with indefinite causal order is studied for an optical system. The relation between input and teleported states is derived. The performance of the teleportation is evaluated in terms of the fidelity. As an example, the teleportation of a coherent state, a squeezed-vacuum state and a Schrödinger-cat state is investigated. The result shows that the indefinite causal order can improve the fidelity of the continuous variable teleportation.