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AIP conference proceedings

Experimental realization of quantum teleportation algorithm via electrical circuits

Osman Ceylan, Emine Canan Günay Demirel, İhsan Yılmaz, Semih Aslan

Published Jan 1, 2024• 1 citation
Publisher

Abstract

Quantum teleportation is one of basis study of quantum computing algorithms mostly used in quantum communication. This algorithm has so far been implemented using a variety of quantum realization models. In this study, quantum teleportation algorithm is realized experimentally using classical LC circuits. In addition, electrical simulation of some quantum gates such as Hadamard and CNOT gates used in algorithm are also given. The importance of implementation of such quantum algorithms onto classical electrical circuit is that it is being inexpensive and can work at room temperature. This study can contribute greatly to the experimental teaching of the emerging quantum technology revolution to students.

DOI
10.1063/5.0216569

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Quantum teleportation is one of basis study of quantum computing algorithms mostly used in quantum communication. This algorithm has so far been implemented using a variety of quantum realization models. In this study, quantum teleportation algorithm is realized experimentally using classical LC circuits. In addition, electrical simulation of some quantum gates such as Hadamard and CNOT gates used in algorithm are also given. The importance of implementation of such quantum algorithms onto classical electrical circuit is that it is being inexpensive and can work at room temperature. This study can contribute greatly to the experimental teaching of the emerging quantum technology revolution to students.
Quantum Teleportation is the process of transmitting Quantum information from one place to another by performing Quantum mechanical operations like entanglement, Bell measurement and classical communication.Unlike the commonly used term teleportation, Quantum teleportation involves only transfer of information rather than particles or objects.Quantum teleportation allows transmission of quantum information despite the impossibility of measuring or broadcasting the information to be transmitted.This paper evolves some new simpler Quantum teleportation circuits which use only Quantum entanglement and a set of Hadamard and CNOT gates.Further, each of the circuits performs teleportation even if Alice does not perform measurement on her qubits.Keeping the feasibility of physical realization in mind, circuits using only adjacent CNOT gates along with Hadamard gates have also been constructed.All these circuits have been evolved using Genetic Algorithms which has been designed with appropriate representation and search operations towards faster convergence.
In recent years, notable progress has been achieved in the theoretical investigation of quantum systems as computational tools. This has given rise to the development of quantum computing and quantum information, fields that delve into the feasibility of employing quantum systems for information processing objectives. Essential to the manipulation of qubits and the facilitation of quantum computations are quantum gates. Comparable to classical gates, these quantum counterparts are actions designed to alter the state of qubits. Among them are the Hadamard gate, CNOT gate, and Toffoli gate, each imbued with distinct functionalities that collectively enrich the repertoire of quantum computation tools. As we progress through this chapter, we embark on a journey that unveils the complexities of quantum communication. From the foundational concepts of quantum mechanics to the advanced realms of quantum teleportation, we have witnessed the potency of quantum entanglement to teleport quantum states. Furthermore, we have delved into the practical implementation of circuits using Qiskit, gaining a grasp of the art of orchestrating qubit operations, measurements, and corrections. Standing at the convergence of the quantum and classical realms, this chapter aims to provide a comprehensive perspective, exposing the intricate web of quantum communication and computing, while paving the way for a future in which quantum technologies redefine the boundaries of the achievable.
One of the most successful theories of modern physics, quantum mechanics has undergone rigorous testing and validation, one of the primary motives being fanciful and informative applications of quantum information theory such as teleportation and superdense coding. Over the years, many explanations have been given for the mechanism and interpretation of the various quirks and mysteries of quantum mechanics, the latest entrant being a suggestion of nonlinearity and chaos underlying quantum mechanics. The present work purports to a formulation of quantum bit as a SU(2) Lie Group using a Chua’s chaos generator circuit as the basis. PSPICE simulations of the same are performed. Various basic quantum gates such as the Pauli X, Y, Z, Hadamard and CNOT gates are implemented using this formulation. Finally, the chaos-qubit formulation is validated using a real time application – quantum teleportation. The ability to successfully demonstrate the teleportation of a single qubit numerically suggests that the chaotic interpretation of quantum mechanics has some validity. Furthermore, it ushers in the era of low cost, high capacity, high security information systems using nonlinear electrical circuits.
Quantum computing is a new way of doing things that uses quantum mechanics to do things that classical systems can't. These things include superposition, entanglement, and interference. Quantum teleportation is one of the most basic protocols that shows how the full quantum state of a qubit can be sent to a different place without moving the particle. It only uses shared entanglement and a classical communication channel. Even though this protocol is theoretically beautiful, it is still hard for students and new researchers to picture and understand it on their own. This paper describes an interactive quantum circuit simulator that runs on the web and was made with Python Flask, IBM's Qiskit library, and Three.js. It was made to show quantum teleportation in real time. Through a browser interface, users can build quantum circuits, use standard gates like Hadamard, Pauli-X, Pauli-Z, CNOT, and multiqubit gates, and see dynamic Bloch sphere updates that show how the state of the qubit changes after each operation. The backend uses Qiskit's statevector simulator to make sure the math is right, and the frontend, which is powered.by Three.js, shows quantum states in three-dimensional geometric forms. Testing confirms that the simulation fidelity is close to 1 under ideal conditions, which means that the protocol was implemented correctly. The proposed framework makes it easier to get into quantum education by getting rid of complicated local setup requirements and giving immediate visual feedback. This makes it easier to go from quantum theory to hands-on experimentation