Bidirectional quantum teleportation using quantum walks

TL;DR

This paper introduces a novel bidirectional quantum teleportation method using quantum walks on simple lattice structures, extending to two-qubit teleportation with different jump strategies, demonstrating equivalence of certain schemes.

Contribution

It presents new quantum teleportation protocols based on quantum walks, including single and two-qubit schemes with different jump mechanisms, highlighting their equivalence.

Findings

Single qubit bidirectional teleportation via quantum walks.

Two-qubit teleportation methods with nearest and next nearest neighbor jumps.

Equivalence of two jump quantum walk teleportation schemes.

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.