A Quantum Computation Workbook

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A Quantum Computation Workbook

Author : Mahn-Soo Choi
Publisher : Springer Nature
Page : 443 pages
File Size : 40,8 Mb
Release : 2022-03-03
Category : Science
ISBN : 9783030912147

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A Quantum Computation Workbook by Mahn-Soo Choi Pdf

Teaching quantum computation and information is notoriously difficult, because it requires covering subjects from various fields of science, organizing these subjects consistently in a unified way despite their tendency to favor their specific languages, and overcoming the subjects’ abstract and theoretical natures, which offer few examples of actual realizations. In this book, we have organized all the subjects required to understand the principles of quantum computation and information processing in a manner suited to physics, mathematics, and engineering courses as early as undergraduate studies.In addition, we provide a supporting package of quantum simulation software from Wolfram Mathematica, specialists in symbolic calculation software. Throughout the book’s main text, demonstrations are provided that use the software package, allowing the students to deepen their understanding of each subject through self-practice. Readers can change the code so as to experiment with their own ideas and contemplate possible applications. The information in this book reflects many years of experience teaching quantum computation and information. The quantum simulation-based demonstrations and the unified organization of the subjects are both time-tested and have received very positive responses from the students who have experienced them.

Quantum Computation and Quantum Information

Author : Michael A. Nielsen,Isaac L. Chuang
Publisher : Cambridge University Press
Page : 709 pages
File Size : 42,5 Mb
Release : 2010-12-09
Category : Science
ISBN : 9781139495486

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Quantum Computation and Quantum Information by Michael A. Nielsen,Isaac L. Chuang Pdf

One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th anniversary edition includes an introduction from the authors setting the work in context. This comprehensive textbook describes such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. Quantum mechanics and computer science are introduced before moving on to describe what a quantum computer is, how it can be used to solve problems faster than 'classical' computers and its real-world implementation. It concludes with an in-depth treatment of quantum information. Containing a wealth of figures and exercises, this well-known textbook is ideal for courses on the subject, and will interest beginning graduate students and researchers in physics, computer science, mathematics, and electrical engineering.

Classical and Quantum Computation

Author : Alexei Yu. Kitaev,Alexander Shen,Mikhail N. Vyalyi
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 43,9 Mb
Release : 2002
Category : Computers
ISBN : 9780821832295

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Classical and Quantum Computation by Alexei Yu. Kitaev,Alexander Shen,Mikhail N. Vyalyi Pdf

An introduction to a rapidly developing topic: the theory of quantum computing. Following the basics of classical theory of computation, the book provides an exposition of quantum computation theory. In concluding sections, related topics, including parallel quantum computation, are discussed.

Mathematics of Quantum Computing

Author : Wolfgang Scherer
Publisher : Springer Nature
Page : 764 pages
File Size : 40,8 Mb
Release : 2019-11-13
Category : Computers
ISBN : 9783030123581

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Mathematics of Quantum Computing by Wolfgang Scherer Pdf

This textbook presents the elementary aspects of quantum computing in a mathematical form. It is intended as core or supplementary reading for physicists, mathematicians, and computer scientists taking a first course on quantum computing. It starts by introducing the basic mathematics required for quantum mechanics, and then goes on to present, in detail, the notions of quantum mechanics, entanglement, quantum gates, and quantum algorithms, of which Shor's factorisation and Grover's search algorithm are discussed extensively. In addition, the algorithms for the Abelian Hidden Subgroup and Discrete Logarithm problems are presented and the latter is used to show how the Bitcoin digital signature may be compromised. It also addresses the problem of error correction as well as giving a detailed exposition of adiabatic quantum computing. The book contains around 140 exercises for the student, covering all of the topics treated, together with an appendix of solutions.

Mathematics of Quantum Computation

Author : Ranee K. Brylinski,Goong Chen
Publisher : CRC Press
Page : 448 pages
File Size : 43,8 Mb
Release : 2002-02-14
Category : Mathematics
ISBN : 9781420035377

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Mathematics of Quantum Computation by Ranee K. Brylinski,Goong Chen Pdf

Among the most exciting developments in science today is the design and construction of the quantum computer. Its realization will be the result of multidisciplinary efforts, but ultimately, it is mathematics that lies at the heart of theoretical quantum computer science. Mathematics of Quantum Computation brings together leading computer scientists, mathematicians, and physicists to provide the first interdisciplinary but mathematically focused exploration of the field's foundations and state of the art. Each section of the book addresses an area of major research, and does so with introductory material that brings newcomers quickly up to speed. Chapters that are more advanced include recent developments not yet published in the open literature. Information technology will inevitably enter into the realm of quantum mechanics, and, more than all the atomic, molecular, optical, and nanotechnology advances, it is the device-independent mathematics that is the foundation of quantum computer and information science. Mathematics of Quantum Computation offers the first up-to-date coverage that has the technical depth and breadth needed by those interested in the challenges being confronted at the frontiers of research.

Quantum Computing for Everyone

Author : Chris Bernhardt
Publisher : MIT Press
Page : 214 pages
File Size : 46,5 Mb
Release : 2020-09-08
Category : Computers
ISBN : 9780262539531

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Quantum Computing for Everyone by Chris Bernhardt Pdf

An accessible introduction to an exciting new area in computation, explaining such topics as qubits, entanglement, and quantum teleportation for the general reader. Quantum computing is a beautiful fusion of quantum physics and computer science, incorporating some of the most stunning ideas from twentieth-century physics into an entirely new way of thinking about computation. In this book, Chris Bernhardt offers an introduction to quantum computing that is accessible to anyone who is comfortable with high school mathematics. He explains qubits, entanglement, quantum teleportation, quantum algorithms, and other quantum-related topics as clearly as possible for the general reader. Bernhardt, a mathematician himself, simplifies the mathematics as much as he can and provides elementary examples that illustrate both how the math works and what it means. Bernhardt introduces the basic unit of quantum computing, the qubit, and explains how the qubit can be measured; discusses entanglement—which, he says, is easier to describe mathematically than verbally—and what it means when two qubits are entangled (citing Einstein's characterization of what happens when the measurement of one entangled qubit affects the second as “spooky action at a distance”); and introduces quantum cryptography. He recaps standard topics in classical computing—bits, gates, and logic—and describes Edward Fredkin's ingenious billiard ball computer. He defines quantum gates, considers the speed of quantum algorithms, and describes the building of quantum computers. By the end of the book, readers understand that quantum computing and classical computing are not two distinct disciplines, and that quantum computing is the fundamental form of computing. The basic unit of computation is the qubit, not the bit.

Elements of Quantum Computing

Author : Seiki Akama
Publisher : Springer
Page : 126 pages
File Size : 45,7 Mb
Release : 2014-07-14
Category : Computers
ISBN : 9783319082844

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Elements of Quantum Computing by Seiki Akama Pdf

A quantum computer is a computer based on a computational model which uses quantum mechanics, which is a subfield of physics to study phenomena at the micro level. There has been a growing interest on quantum computing in the 1990's and some quantum computers at the experimental level were recently implemented. Quantum computers enable super-speed computation and can solve some important problems whose solutions were regarded impossible or intractable with traditional computers. This book provides a quick introduction to quantum computing for readers who have no backgrounds of both theory of computation and quantum mechanics. “Elements of Quantum Computing” presents the history, theories and engineering applications of quantum computing. The book is suitable to computer scientists, physicists and software engineers.

Quantum Computing for the Quantum Curious

Author : Ciaran Hughes,Joshua Isaacson,Anastasia Perry,Ranbel F. Sun,Jessica Turner
Publisher : Springer Nature
Page : 159 pages
File Size : 48,5 Mb
Release : 2021-03-22
Category : Science
ISBN : 9783030616014

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Quantum Computing for the Quantum Curious by Ciaran Hughes,Joshua Isaacson,Anastasia Perry,Ranbel F. Sun,Jessica Turner Pdf

This open access book makes quantum computing more accessible than ever before. A fast-growing field at the intersection of physics and computer science, quantum computing promises to have revolutionary capabilities far surpassing “classical” computation. Getting a grip on the science behind the hype can be tough: at its heart lies quantum mechanics, whose enigmatic concepts can be imposing for the novice. This classroom-tested textbook uses simple language, minimal math, and plenty of examples to explain the three key principles behind quantum computers: superposition, quantum measurement, and entanglement. It then goes on to explain how this quantum world opens up a whole new paradigm of computing. The book bridges the gap between popular science articles and advanced textbooks by making key ideas accessible with just high school physics as a prerequisite. Each unit is broken down into sections labelled by difficulty level, allowing the course to be tailored to the student’s experience of math and abstract reasoning. Problem sets and simulation-based labs of various levels reinforce the concepts described in the text and give the reader hands-on experience running quantum programs. This book can thus be used at the high school level after the AP or IB exams, in an extracurricular club, or as an independent project resource to give students a taste of what quantum computing is really about. At the college level, it can be used as a supplementary text to enhance a variety of courses in science and computing, or as a self-study guide for students who want to get ahead. Additionally, readers in business, finance, or industry will find it a quick and useful primer on the science behind computing’s future.

Quantum Computer Science

Author : N. David Mermin
Publisher : Cambridge University Press
Page : 236 pages
File Size : 49,8 Mb
Release : 2007-08-30
Category : Science
ISBN : 9781139466806

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Quantum Computer Science by N. David Mermin Pdf

In the 1990's it was realized that quantum physics has some spectacular applications in computer science. This book is a concise introduction to quantum computation, developing the basic elements of this new branch of computational theory without assuming any background in physics. It begins with an introduction to the quantum theory from a computer-science perspective. It illustrates the quantum-computational approach with several elementary examples of quantum speed-up, before moving to the major applications: Shor's factoring algorithm, Grover's search algorithm, and quantum error correction. The book is intended primarily for computer scientists who know nothing about quantum theory, but will also be of interest to physicists who want to learn the theory of quantum computation, and philosophers of science interested in quantum foundational issues. It evolved during six years of teaching the subject to undergraduates and graduate students in computer science, mathematics, engineering, and physics, at Cornell University.

Introduction to Quantum Computation

Author : Ioan Burda
Publisher : Universal-Publishers
Page : 168 pages
File Size : 49,5 Mb
Release : 2005
Category : Computers
ISBN : 9781581124668

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Introduction to Quantum Computation by Ioan Burda Pdf

"Introduction to Quantum Computation" is an introduction to a new rapidly developing theory of quantum computing. The book is a comprehensive introduction to the main ideas and techniques of quantum computation. It begins with the basics of classical theory of computation: NP-complete problems, Boolean circuits, Finite state machine, Turing machine and the idea of complexity of an algorithm. The general quantum formalism (pure states, qubit, superposition, evolution of quantum system, entanglement, multi-qubit system ...) and complex algorithm examples are also presented. Matlab is a well known in engineer academia as matrix computing environment, which makes it well suited for simulating quantum algorithms. The (Quantum Computer Toolbox) QCT is written entirely in the Matlab and m-files are listed in book's sections. There are certain data types that are implicitly defined by the QCT, including data types for qubit registers and transformations. The QCT contains many functions designed to mimic the actions of a quantum computer. In addition, the QCT contains several convenience functions designed to aid in the creation and modification of the data types used in algorithms. The main purposes of the QCT are for research involving Quantum Computation and as a teaching tool to aid in learning about Quantum Computing systems. The readers will learn to implement complex quantum algorithm (quantum teleportation and Deutsch, Grover, Shor algorithm) under Matlab environment (complete Matlab code examples).

A Short Introduction to Quantum Information and Quantum Computation

Author : Michel Le Bellac
Publisher : Cambridge University Press
Page : 179 pages
File Size : 42,6 Mb
Release : 2006-06-15
Category : Science
ISBN : 9781139457040

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A Short Introduction to Quantum Information and Quantum Computation by Michel Le Bellac Pdf

Quantum information and computation is a rapidly expanding and cross-disciplinary subject. This book, first published in 2006, gives a self-contained introduction to the field for physicists, mathematicians and computer scientists who want to know more about this exciting subject. After a step-by-step introduction to the quantum bit (qubit) and its main properties, the author presents the necessary background in quantum mechanics. The core of the subject, quantum computation, is illustrated by a detailed treatment of three quantum algorithms: Deutsch, Grover and Shor. The final chapters are devoted to the physical implementation of quantum computers, including the most recent aspects, such as superconducting qubits and quantum dots, and to a short account of quantum information. Written at a level suitable for undergraduates in physical sciences, no previous knowledge of quantum mechanics is assumed, and only elementary notions of physics are required. The book includes many short exercises, with solutions available to instructors through [email protected].

An Introduction to Quantum Computing

Author : Phillip Kaye,Raymond Laflamme,Michele Mosca
Publisher : Oxford University Press on Demand
Page : 287 pages
File Size : 41,6 Mb
Release : 2007
Category : Computers
ISBN : 9780198570004

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An Introduction to Quantum Computing by Phillip Kaye,Raymond Laflamme,Michele Mosca Pdf

The authors provide an introduction to quantum computing. Aimed at advanced undergraduate and beginning graduate students in these disciplines, this text is illustrated with diagrams and exercises.

Introduction to Topological Quantum Computation

Author : Jiannis K. Pachos
Publisher : Cambridge University Press
Page : 220 pages
File Size : 42,5 Mb
Release : 2012-04-12
Category : Computers
ISBN : 9781107005044

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Introduction to Topological Quantum Computation by Jiannis K. Pachos Pdf

Ideal for graduate students and researchers from various sub-disciplines, this book provides an excellent introduction to topological quantum computation.

Quantum Computation with Topological Codes

Author : Keisuke Fujii
Publisher : Springer
Page : 138 pages
File Size : 54,8 Mb
Release : 2015-12-15
Category : Science
ISBN : 9789812879967

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Quantum Computation with Topological Codes by Keisuke Fujii Pdf

This book presents a self-consistent review of quantum computation with topological quantum codes. The book covers everything required to understand topological fault-tolerant quantum computation, ranging from the definition of the surface code to topological quantum error correction and topological fault-tolerant operations. The underlying basic concepts and powerful tools, such as universal quantum computation, quantum algorithms, stabilizer formalism, and measurement-based quantum computation, are also introduced in a self-consistent way. The interdisciplinary fields between quantum information and other fields of physics such as condensed matter physics and statistical physics are also explored in terms of the topological quantum codes. This book thus provides the first comprehensive description of the whole picture of topological quantum codes and quantum computation with them.

Quantum Computing

Author : Eleanor G. Rieffel,Wolfgang H. Polak
Publisher : MIT Press
Page : 389 pages
File Size : 45,6 Mb
Release : 2014-08-29
Category : Computers
ISBN : 9780262526678

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Quantum Computing by Eleanor G. Rieffel,Wolfgang H. Polak Pdf

A thorough exposition of quantum computing and the underlying concepts of quantum physics, with explanations of the relevant mathematics and numerous examples. The combination of two of the twentieth century's most influential and revolutionary scientific theories, information theory and quantum mechanics, gave rise to a radically new view of computing and information. Quantum information processing explores the implications of using quantum mechanics instead of classical mechanics to model information and its processing. Quantum computing is not about changing the physical substrate on which computation is done from classical to quantum but about changing the notion of computation itself, at the most basic level. The fundamental unit of computation is no longer the bit but the quantum bit or qubit. This comprehensive introduction to the field offers a thorough exposition of quantum computing and the underlying concepts of quantum physics, explaining all the relevant mathematics and offering numerous examples. With its careful development of concepts and thorough explanations, the book makes quantum computing accessible to students and professionals in mathematics, computer science, and engineering. A reader with no prior knowledge of quantum physics (but with sufficient knowledge of linear algebra) will be able to gain a fluent understanding by working through the book.