Consideration of success probability and performance optimization in non-Gaussian continuous variable quantum teleportation

Abstract

We undertake a comprehensive study of quantum teleportation using non-Gaussian entangled resource states produced by performing non-Gaussian operations on a two-mode squeezed vacuum (TMSV) state. These non-Gaussian operations include photon subtraction, photon addition, and photon catalysis and are performed via heralding schemes using photon number resolving detectors. Since these schemes produce non-Gaussian states probabilistically, it is necessary to consider the success probability. We first derive a unified expression for the Wigner characteristic function describing the photon subtracted, added, and catalyzed TMSV states. We then utilize it to obtain the fidelity of teleporting input coherent and squeezed vacuum states. Considering the success probability allows us to find the most advantageous non-Gaussian operations along with the associated optimal squeezing and beam splitter transmissivity parameters. It turns out that the symmetric one-photon subtracted TMSV state is most advantageous for teleporting input coherent and squeezed vacuum states. We expect the derived Wigner characteristic function to be useful in the state characterization and other quantum protocols.