Two different types of optical hybrid qubits for teleportation in a lossy environment

We investigate the performance of quantum teleportation under a lossy environment using two different types of optical hybrid qubits. One is the hybrid of a polarized single-photon qubit and a coherent-state qubit (type-I logical qubit), and the other is the hybrid of a qubit of the vacuum and the single-photon and a coherent-state qubit (type-II logical qubit). We show that type-II hybrid qubits are generally more robust to photon loss effects compared to type-I hybrid qubits with respect to fidelities and success probabilities of quantum teleportation.