Entanglement, nonlocal features, quantum teleportation of two-mode squeezed vacuum states with superposition of photon-pair addition and subtraction operations

Abstract

In this paper, we introduce new nonclassical states called two-mode squeezed vacuum states with superposition of photon-pair addition and subtraction operations (TMSVSs-SPPASOs) by adding and subtracting pairs of photons to a two-mode squeezed vacuum state (TMSVS). It is shown that the superposition operations of photon-pair added and subtracted can enhance the degree of entanglement of the TMSVSs-SPPASOs by using the linear entropy criterion. Besides, the EPR correlation and the EPR steering in the TMSVSs-SPPASOs can be improved compared with the original TMSVS. In particular, the manifestation of these features becomes more obvious in the small region of the squeezing parameter r in the TMSVSs-SPPASOs. By using the TMSVSs-SPPASOs as entanglement resources, the quantum teleportation process of a qubit-type single-mode state is studied in detail. Based on the average fidelity Fav, it indicates that the quantum teleportation process is ideally successful as Fav approaches the unit when r is high. More importantly, the average fidelity Fav can be enhanced by increasing the number of photon pairs added or subtracted. Finally, we propose experimental schemes for generating these states by using quantum optical devices.