Bidirectional quantum teleportation using quantum walks

Abstract

We present a method for bidirectional teleportation of a single qubit using quantum walks on two independent one dimensional lattices and two independent cycles with four vertices, employing nearest neighbor jumps with coin outcomes. In addition, we discuss two different methods for two qubit teleportation by employing nearest neighbor jumps and next nearest neighbor jumps with a single coin and two coins, respectively. Finally, we show that the two qubit single jump quantum walk and the two jump quantum walk teleportation schemes yield the same results.