Superdense Coding, Teleportation Algorithms, and Bell’s Inequality Test in Qiskit and IBM Circuit Composer

Quantum teleportation is a technique of sending information from one place to another place. Distance between two points can be hundreds of thousands of lightyears. For quantum teleportation, there is no need for a channel between two points when sending a state vector from one place to another. Since classical information sharing is possible, it is also possible to send a state vector from one place to another place. Teleportation is the transfer of a quantum state from one place to another through classical channels. Superdense coding, a dual to teleportation, uses a single quantum bit to transmit two bits classical information. Superdense coding uses a qubit to transfer two classical bits, while teleportation performs one qubit transfer using two classical bits. In this article, teleportation, superdense coding algorithms, and the Bell’s inequality test in which Bell’s inequality is violated with quantum mechanics are performed on both Qiskit and International Business Machines circuit composer, and results are compared and presented in detail. The results revealed that whether a faster-than-light signal transfer is possible using quantum mechanics depends on whether a copy of the quantum state is created or not. Finally, Bell’s inequality created by classical logic violated by quantum mechanics is shown by experimental results. Cite this article as: Y. Poyraz Koçak and S. Sevgen, "Superdense coding, teleportation algorithms, and bell’s inequality test in qiskit and IBM circuit composer," Electrica., 22(2), 120-131, 2022.