Coherent superposition of photon subtraction- and addition-based two-mode squeezed coherent state: quantum properties and its applications

Quantum properties are the prerequisite for quantum states to be applied in quantum state engineering. Here, we first propose a theoretical scheme of generating a novel kind of non-Gaussian state by repeatedly using a coherent superposition (CS) of photon subtraction and addition on each mode of an input two-mode squeezed coherent (TMSC) state, and then consider its nonclassicality in terms of the antibunching effect and the Wigner function. The simulation results shed more light on that for the high-order CS operations, the increase in coherent amplitudes of the CS-based TMSC is helpful to show the advantage of the existence and improvement of the nonclassicality over the TMSC case. After that, we also analyze the entanglement of the proposed CS-based TMSC by means of the Einstein-Podolsky-Rosen correlation, and finally focus on its applications in the quantum teleportation under an ideal Braunstein and Kimble scheme. Dramatically, the proposed state not only can be used for enhancing the entanglement and fidelity, but also shows distinct advantages over another non-Gaussian states involving the photon-subtracted TMSC states and the photon-excited TMSC states in terms of the optimal entanglement and fidelity at small-initial squeezing ranges.