Non-maximally hybrid entangled state as quantum channel for quantum teleportation of single-rail qubit

Abstract A protocol for quantum teleportation of an unknown single-rail qubit through the non-maximally entangled hybrid state is proposed. The hybrid quantum channel consists of continuous variable (CV) states of certain parity and photonic states and is characterized by two parameters: a squeezing parameter of single-mode squeezed vacuum state and the beam splitter (BS) parameter, on which the entangled state can be realized. The CV part of the hybrid state is in Alice’s location, while discrete variable half is controlled by Bob. A balanced BS is used to mix the CV part of the hybrid quantum state with an unknown optical single-rail qubit, followed by measurement of the number of photons in two measuring channels. Proper choice of the hybrid entangled state parameter values compensates for the initial amplitude distortion coefficient of the entangled state by the induced factor, so that Bob can obtain the initial qubit in the case of single photon measurement. With other measurement outcomes, Bob can obtain a qubit that has already undergone a unitary transformation, which he can use to teleport to other participants. We show that the proposed method is a generalization of quantum teleportation of single rail qubit via a nonlocal photon acting as a quantum channel.