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WORLD SCIENTIFIC eBooks

Principles of Quantum Computation and Information - Volume I: Basic Concepts

Giuliano Benenti, Giulio Casati, G. Strini

Published Jan 1, 2004• 103 citations
Publisher
DOI
10.1142/9789812794796

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Quantum Computers - Example of Executing the Deutsch Quantum Algorithm Using Google Colab

Željko Eremić, Tanja Sekulić, Iris Borjanović Trusina

In this paper, an introduction to the basic principles of quantum computing is provided, from concepts of quantum mechanics to their mathematical and computational representation.The core phenomena of quantum mechanics, such as superposition, interference, and entanglement, are explained, and their applications in quantum information processing are described.Mathematical representation of quantum information, starting from qubits, quantum gates, and quantum operations, is presented and explained.Also, the overview of basic quantum algorithms is given and compared to classical approaches.The quantum Deutsch algorithm is presented and discussed mathematically.Prerequisites and programming code in Python for executing the quantum Deutsch's algorithm are presented.Figures of quantum circuits and execution results are given.Finally, the results of the execution of this algorithm are discussed.

International Scientific Conference Sinteza•Jan 1, 2026•0 citations
Abstract Quantum physics has revolutionized our understanding of information processing and enables computational speed-ups that are unattainable using classical computers. This tutorial reviews the fundamental tools of photonic quantum information processing. The basics of theoretical quantum computing are presented and the quantum circuit model as well as measurement-based models of quantum computing are introduced. Furthermore, it is shown how these concepts can be implemented experimentally using photonic qubits, where information is encoded in the photons’ polarization.
In this paper, an introduction to the basic principles of quantum computing is provided, from concepts of quantum mechanics to their mathematical and computational representation.The core phenomena of quantum mechanics, such as superposition, interference, and entanglement, are explained, and their applications in quantum information processing are described.Mathematical representation of quantum information, starting from qubits, quantum gates, and quantum operations, is presented and explained.Also, the overview of basic quantum algorithms is given and compared to classical approaches.The quantum Deutsch algorithm is presented and discussed mathematically.Prerequisites and programming code in Python for executing the quantum Deutsch's algorithm are presented.Figures of quantum circuits and execution results are given.Finally, the results of the execution of this algorithm are discussed.