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This series of introductory lectures consists of two parts. In the first part, I rapidly review the basic notions of quantum physics and many primitives of quantum information (i.e. notions that one must be somehow familiar with in the…

Quantum Physics · Physics 2011-07-08 Valerio Scarani

Quantum computation and quantum information are of great current interest in computer science, mathematics, physical sciences and engineering. They will likely lead to a new wave of technological innovations in communication, computation…

Methodology · Statistics 2012-10-03 Yazhen Wang

This is a note accompanying "CS 410/510: INTRO TO QUANTUM COMPUTING" I taught at Portland State University in Spring 2017. It is a review and summary of some early results related to Grover's quantum search algorithm in a consistent way. I…

Quantum Physics · Physics 2017-09-06 Fang Song

Memory is an indispensable component in classical computing systems. While the development of quantum computing is still in its early stages, current quantum processing units mainly function as quantum registers. Consequently, the actual…

Quantum Physics · Physics 2023-11-06 Chenxu Liu , Meng Wang , Samuel A. Stein , Yufei Ding , Ang Li

This textbook is drawn from notes for a two-semester graduate course in quantum mechanics. It begins with the most constrained quantum system, and recovers the rest of the subject by relaxing those constraints one at a time. The starting…

Quantum Physics · Physics 2026-05-05 Jeremy Levy

The purpose of these lectures is to give an accessible and self contained introduction to quantum scattering theory in one dimension. Part A defines the theoretical playground, and develops basic concepts of scattering theory in the time…

Quantum Physics · Physics 2022-04-11 Milan Šindelka

In this era of incessant advancements in quantum computing, bridging the gap between quantum algorithms' hardware requisites and available devices has become crucial. A prime focus in this context is the Software and System Level support…

Physics Education · Physics 2023-09-29 Zhiding Liang , Hanrui Wang

These lecture notes are an informal introduction to the theory of computational complexity and its links to quantum computing and statistical mechanics.

Statistical Mechanics · Physics 2009-09-25 Stephan Mertens

Quantum computing is rapidly emerging as a new computing paradigm with the potential to improve decision-making, optimization, and simulation across industries. For industrial engineering (IE) and operations research (OR), this shift…

Quantum Physics · Physics 2025-10-24 Emily L. Tucker , Mohammadhossein Mohammadisiahroudi

Quantum simulation is a potentially powerful application of quantum computing, holding the promise to be able to emulate interesting quantum systems beyond the reach of classical computing methods. Despite such promising applications, and…

Quantum Physics · Physics 2022-10-07 Kaelyn J. Ferris , A. J. Rasmusson , Nicholas T. Bronn , Olivia Lanes

With the increasing rise of publicly available high level quantum computing languages, the field of Quantum Computing has reached an important milestone of separation of software from hardware. Consequently, the study of Quantum Algorithms…

Quantum Physics · Physics 2020-08-26 Daniel Koch , Saahil Patel , Laura Wessing , Paul M. Alsing

Quantum computing is a growing field at the intersection of physics and computer science. This module introduces three of the key principles that govern how quantum computers work: superposition, quantum measurement, and entanglement. The…

Physics Education · Physics 2021-03-30 Anastasia Perry , Ranbel Sun , Ciaran Hughes , Joshua Isaacson , Jessica Turner

In this paper, we present the Quantum Information Software Developer Kit - Qiskit, for teaching quantum computing to undergraduate students, with basic knowledge of quantum mechanics postulates. We focus on presenting the construction of…

Informal collection of lecture notes introducing quantum mechanics in phase space and basic Gaussian quantum mechanics.

Quantum Physics · Physics 2024-02-06 Eduardo Martín-Martínez

An introduction to loop quantum gravity is given, focussing on the fundamental aspects of the theory, different approaches to the dynamics, as well as possible future directions. It is structured in five lectures, including exercises, and…

General Relativity and Quantum Cosmology · Physics 2016-07-19 Norbert Bodendorfer

These are lecture notes of a mini-course given by the first author in Moscow in July 2019, taken by the second author and then edited and expanded by the first author. They were also a basis of the lectures given by the first author at the…

Quantum Algebra · Mathematics 2024-11-07 Pavel Etingof , Mykola Semenyakin

Quantum Computing promises accelerated simulation of certain classes of problems, in particular in plasma physics. Given the nascent interest in applying quantum computing techniques to study plasma systems, a compendium of the relevant…

Plasma Physics · Physics 2023-02-02 Óscar Amaro , Diogo Cruz

In this thesis I present a short review of ideas in quantum information theory. The first chapter contains introductory material, sketching the central ideas of probability and information theory. Quantum mechanics is presented at the level…

Quantum Physics · Physics 2007-05-23 Robert H. Schumann

Quantum computing is rapidly emerging as a promising technology for solving complex optimization problems that arise in various engineering fields. Therefore, it holds significant promise to transform the computational foundations of power…

Quantum Physics · Physics 2026-01-06 Nikolaos G. Paterakis , Petros Karamanakos , Corey O'Meara , Georgios Papafotiou

A central goal in quantum computing is the development of quantum hardware and quantum algorithms in order to analyse challenging scientific and engineering problems. Research in quantum computation involves contributions from both physics…

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