Analytical Modeling of Real-World Photonic Quantum Teleportation

We develop analytical models for realistic photonic quantum teleportation experiments with time-bin qubits, utilizing phase space methods from quantum optics. These models yield analytical expressions for Hong-Ou-Mandel interference visibilities and qubit fidelities, accounting for imperfections such as loss, photon distinguishability, and unwanted multi-photon events in single and entangled photon sources. Our expressions agree with the Hong-Ou-Mandel interference visibilities and teleportation fidelities reported by Valivarthi et al. (PRX Quantum 1, 020317, 2020). We use these models to predict and analyze the outcomes of future teleportation experiments under varying degrees of imperfections.