Linear Optical Protocol for Asymmetric Bidirectional Quantum Teleportation

We propose a scheme, asymmetric bidirectional quantum teleportation, to teleport bi-modal entangled coherent states from Alice (sender) to Bob (receiver) who, simultaneously, endeavors to send Schrodinger Cat coherent-states to Alice by employing a pair of one quattro-modal GHZ-coherent state and one bi-modal Bell-coherent state as a quantum channel. The proposed scheme is implemented by utilizing ideal linear optical elements such as beam splitters, phase shifters and ideal photon number resolving detectors. A heralded detection of photons in the labs of Alice and Bob followed by classical communications of even and/or odd photon-numbers to each other and accompanying local unitary (phase-shifting) operations in respective labs, impeccably, demonstrates realization of faithful (unit-fidelity) asymmetric bidirectional quantum teleportation with probability of success one-eighth. Moreover, probability of success and fidelity of near-faithful partial asymmetric bidirectional quantum teleportation is analyzed.