Enhancing Quantum Teleportation with Bayesian Inference

Abstract

We present an algorithm to enhance the performance of quantum teleportation when utilizing non-maximally entangled states. We adopt a proposed entanglement measure and calculate its values for several well-known states. After outlining the quantum teleportation process, we introduce fidelity functions that can be employed when the considered state fails to meet certain conditions. These functions are optimized using a Bayesian inference method, known as Multiple Correlated-Try Metropolis algorithm, by generating Markov chains of length 3 · 105. The results are applied to analyze a family of two-qubit states parameterized by a single variable, observing a notable improvement in teleportation performance. Ultimately, we identify a strong correlation between the proposed entanglement measure and the success rate of quantum teleportation