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Quantum computing is an emerging field with growing implications across science and industry, making early educational exposure increasingly important. This paper examines how quantum computing concepts can be introduced into high-school…

This course of lectures has been taught for several years at the Lomonosov Moscow State University; its modified version in 2021 is read in the Zhejiang University (Hangzhou), in the framework of summer school on quantum computing. The…

Quantum Physics · Physics 2021-09-23 Yuri I. Ozhigov

Quantum computing is a technology that promises to offer significant advantages during the coming decades. Though the technology is still in a prototype stage, the last few years have seen many of these prototype devices become accessible…

Basic concepts of quantum theory of information, principles of quantum calculations and the possibility of creation on this basis unique on calculation power and functioning principle device, named quantum computer, are briefly reviewed.…

Quantum Physics · Physics 2007-12-10 Steven Duplij , Illia Shapoval

This introductory text on the basics of quantum mechanics is intended to serve as a kind of travel guide through the quantum world. It starts by asking whether quantum physics is important, or weird, or incomprehensible. It explains why…

Popular Physics · Physics 2024-08-19 Joachim Stolze

The current proposals for the realization of quantum computer such as NMR, quantum dots and trapped ions are based on the using of an atom or an ion as one qubit. In these proposals a quantum computer consists from several atoms and the…

Quantum Physics · Physics 2007-05-23 I. V. Volovich

These lecture notes provide an introduction to quantum information and quantum computation, which are strongly related disciplines and subject of intense research. The lecture notes contain only a small selection of topics in these…

Quantum Physics · Physics 2023-11-22 Christoph Dittel

The last two decades have seen an explosive growth in the theory and practice of both quantum computing and machine learning. Modern machine learning systems process huge volumes of data and demand massive computational power. As silicon…

Quantum Physics · Physics 2020-06-23 Viraj Kulkarni , Milind Kulkarni , Aniruddha Pant

Quantum computing is a highly abstract scientific discipline, which, however, is expected to have great practical relevance in future information technology. This forces educators to seek new methods to teach quantum computing for students…

Software Engineering · Computer Science 2026-03-11 Juha Reinikainen , Vlad Stirbu , Teiko Heinosaari , Vesa Lappalainen , Tommi Mikkonen

In this introductory review, we focus on applications of quantum computation to problems of interest in physics and chemistry. We describe quantum simulation algorithms that have been developed for electronic-structure problems,…

Quantum Physics · Physics 2014-04-16 Man-Hong Yung , James D. Whitfield , Sergio Boixo , David G. Tempel , Alán Aspuru-Guzik

The main goal of these lectures -- introduction to Quantum Mechanics for mathematically-minded readers. The second goal is to discuss the mathematical interpretation of the main quantum postulates: transitions between quantum stationary…

Mathematical Physics · Physics 2019-07-16 Alexander Komech

Quantum computing is an exciting field with high disruptive potential, but very difficult to access. For this reason, many approaches to teaching quantum computing are being developed worldwide. This always raises questions about the…

Physics Education · Physics 2024-09-23 Gerhard Hellstern , Jörg Hettel , Bettina Just

This is an extended and corrected version of lecture notes originally written for a one semester course at Leibniz University Hannover. The main aim of the notes is to give an introduction to the mathematical methods used in describing…

Mathematical Physics · Physics 2017-04-20 Pieter Naaijkens

I provide an introduction to quantum computers, describing how they might be realized using language accessible to a solid state physicist. A listing of the minimal requirements for creating a quantum computer is given. I also discuss…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 David P. DiVincenzo

An introduction in quantum mechanical theory for NMR students which covers basic concepts and calculations.

Other Condensed Matter · Physics 2008-03-10 V. V. Korostelev

This paper provides a short introduction to the mathematical foundation of quantum computation for researchers in computer science by providing an introduction fo the mathematical basis of calculations. This paper concerns the mathematical…

Emerging Technologies · Computer Science 2023-03-06 Gérard Fleury , Philippe Lacomme

Quantum computing exposes the brilliance of quantum mechanics through computer science and, as such, gives oneself a marvelous and exhilarating journey to go through. This article leads along that journey with a historical and current…

Popular Physics · Physics 2024-03-18 Robert Kudelić

The lecture notes cover the basics of quantum computing methods for quantum field theory applications. No detailed knowledge of either quantum computing or quantum field theory is assumed and we have attempted to keep the material at a…

Quantum Physics · Physics 2025-12-03 Aninda Sinha , Ujjwal Basumatary

Qubits are the fundamental building blocks of quantum information science and applications, whose concept is widely utilized in both quantum physics and quantum computation. While the significance of qubits and their implementation in…

Quantum Physics · Physics 2024-04-22 Chenxu Liu , Samuel A. Stein , Muqing Zheng , James Ang , Ang Li

A hallmark of the computational campaign in nuclear and particle physics is the lattice-gauge-theory program. It continues to enable theoretical predictions for a range of phenomena in nature from the underlying Standard Model. The…

High Energy Physics - Lattice · Physics 2025-09-23 Zohreh Davoudi