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Congress in Computer Science, Computer Engineering, and Applied Computing (CSCE)

Understanding the Quantum Teleportation Protocol

Kurt T. Spranger, Michael R. Grimaila, Douglas D. Hodson

Published Jul 24, 2023• 1 citation
Publisher

Abstract

Decomposing a complex system into smaller abstract functional blocks and developing mathematical models to represent their behavior is an important activity towards developing comprehensive system understanding. In this paper, we decompose the ideal Quantum Teleportation protocol into a collection of simple quantum circuit blocks, examine the behavior of each block, and show how collections of blocks operate to create more complex circuits. We believe this approach greatly simplifies the understanding of how the Quantum Teleportation protocol works. This paper is introductory in nature and is intended to help those who are new to modeling, simulating, and analyzing ideal quantum circuits.

DOI
10.1109/csce60160.2023.00130

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Decomposing a complex system into smaller abstract functional blocks and developing mathematical models to represent their behavior is an important activity towards developing comprehensive system understanding. In this paper, we decompose the ideal Quantum Teleportation protocol into a collection of simple quantum circuit blocks, examine the behavior of each block, and show how collections of blocks operate to create more complex circuits. We believe this approach greatly simplifies the understanding of how the Quantum Teleportation protocol works. This paper is introductory in nature and is intended to help those who are new to modeling, simulating, and analyzing ideal quantum circuits.
Quantum decoherence represents a fundamental challenge in the development and application of quantum technologies. This paper investigates the theoretical foundations of quantum decoherence, moving beyond the traditional view of it as a simple, isolated process. We argue that decoherence is a complex phenomenon arising from the interplay of multiple physical mechanisms at various scales. The core of this work is the development of a multi-scale model that integrates microscopic quantum effects – such as displacement, impurities, and time evolution – with macroscopic decoherence effects related to circuit design and material selection. We propose a framework for analyzing and simulating decoherence, recognizing the need for a more comprehensive mathematical description. This paper lays the groundwork for future research aimed at refining our understanding of decoherence and ultimately improving the robustness of quantum systems. ---
The development of techniques for manipulation of quantum information has opened the door to a variety of protocols for accomplishing unprecedented tasks. In particular, a new protocol of quantum teleportation was proposed in 2008 to achieve effective energy transportation simply via local operations and classical communication without breaking any known physical laws. This is achieved by extracting zero-point energy of entangled many-body systems by local operations dependent on information obtained by a distant measurement. The concept is reviewed from an introductory viewpoint herein.
Since quantum computing technologies are still in their early development phase, quantum circuits are created mainly by manual placement of logic elements. This development approach has the drawback of becoming inefficient due to lack of human comprehension when analyzing large circuits that correspond to complex algorithms. Because, even a slight increase in the number of operations in a quantum algorithm, could lead to the significant increase in size of its corresponding quantum circuit. Therefore, the purpose of creating Quantum Circuit Synthesizer "Naginata" is to improve the development and debugging processes of quantum circuits by introducing dynamically scalable compositions for common operations such as: the adder, multiplier, digital comparator (comparison operator), etc., turning them into building blocks for quantum programs, as well as providing a stable platform for creating more of these compositions. This way, our quantum synthesizer is opening an opportunity to implement quantum algorithms using higher-level commands. The programmer could implement a quantum algorithm with these generic blocks, and the quantum synthesizer would create a suitable circuit for this algorithm, in a format that is supported by the chosen quantum computation environment. With the help of simple command logging and using coding for building quantum circuits, this approach has the potential to significantly simplify and enhance the development and debugging processes of quantum circuits. The proposed approach for implementing quantum algorithms could have a potential application in the field of machine learning, in this regard, we provided an example of creating a circuit for training a simple neural network. Neural networks have a significant impact on the technological development of the transport and road complex, and there is a potential for improving the reliability and efficiency of their learning process by utilizing quantum computation.