Mathematics Of Quantum Computation

Mathematics Of Quantum Computation Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Mathematics Of Quantum Computation book. This book definitely worth reading, it is an incredibly well-written.

Mathematics of Quantum Computing

Wolfgang Scherer
Mathematics of Quantum Computing Book PDF

Author : Wolfgang Scherer
Publisher : Springer Nature
Page : 764 pages
File Size : 54,8 Mb
Release : 2019-11-13
Category : Computers
ISBN : 9783030123581

Get Book

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

Ranee K. Brylinski,Goong Chen
Mathematics of Quantum Computation Book PDF

Author : Ranee K. Brylinski,Goong Chen
Publisher : CRC Press
Page : 448 pages
File Size : 55,5 Mb
Release : 2002-02-14
Category : Mathematics
ISBN : 9781420035377

Get Book

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.

Mathematics of Quantum Computation and Quantum Technology

Louis Kauffman,Samuel J. Lomonaco
Mathematics of Quantum Computation and Quantum Technology Book PDF

Author : Louis Kauffman,Samuel J. Lomonaco
Publisher : CRC Press
Page : 624 pages
File Size : 53,9 Mb
Release : 2007-09-19
Category : Science
ISBN : 1584889004

Get Book

Mathematics of Quantum Computation and Quantum Technology by Louis Kauffman,Samuel J. Lomonaco Pdf

Research and development in the pioneering field of quantum computing involve just about every facet of science and engineering, including the significant areas of mathematics and physics. Based on the firm understanding that mathematics and physics are equal partners in the continuing study of quantum science, Mathematics of Quantum Computation and Quantum Technology explores the rapid mathematical advancements made in this field in recent years. Novel Viewpoints on Numerous Aspects of Quantum Computing and Technology Edited by a well-respected team of experts, this volume compiles contributions from specialists across various disciplines. It contains four main parts, beginning with topics in quantum computing that include quantum algorithms and hidden subgroups, quantum search, algorithmic complexity, and quantum simulation. The next section covers quantum technology, such as mathematical tools, quantum wave functions, superconducting quantum computing interference devices (SQUIDs), and optical quantum computing. The section on quantum information deals with error correction, cryptography, entanglement, and communication. The final part explores topological quantum computation, knot theory, category algebra, and logic. The Tools You Need to Tackle the Next Generation of Quantum Technology This book facilitates both the construction of a common quantum language and the development of interdisciplinary quantum techniques, which will aid efforts in the pursuit of the ultimate goal-a "real" scalable quantum computer.

Classical and Quantum Computation

Alexei Yu. Kitaev,Alexander Shen,Mikhail N. Vyalyi,M. N. Vyalyi
Classical and Quantum Computation Book PDF

Author : Alexei Yu. Kitaev,Alexander Shen,Mikhail N. Vyalyi,M. N. Vyalyi
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 51,9 Mb
Release : 2002
Category : Computational complexity
ISBN : 9780821832295

Get Book

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

Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems

Masanori Ohya,I. Volovich
Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano and Bio systems Book PDF

Author : Masanori Ohya,I. Volovich
Publisher : Springer Science & Business Media
Page : 768 pages
File Size : 47,6 Mb
Release : 2011-01-15
Category : Science
ISBN : 9789400701717

Get Book

Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems by Masanori Ohya,I. Volovich Pdf

This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems including nano and bio systems. It includes introductory material on algorithm, functional analysis, probability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information like quantum algorithm and teleportation, the authors discuss findings on the theory of entropy in C*-dynamical systems, space-time dependence of quantum entangled states, entangling operators, adaptive dynamics, relativistic quantum information, and a new paradigm for quantum computation beyond the usual quantum Turing machine. Also, some important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described.

Quantum Computing for Everyone

Chris Bernhardt
Quantum Computing for Everyone Book PDF

Author : Chris Bernhardt
Publisher : MIT Press
Page : 214 pages
File Size : 48,9 Mb
Release : 2020-09-08
Category : Computers
ISBN : 9780262539531

Get Book

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.

The Theory of Quantum Information

John Watrous
The Theory of Quantum Information Book PDF

Author : John Watrous
Publisher : Unknown
Page : 599 pages
File Size : 44,9 Mb
Release : 2018-04-26
Category : Computers
ISBN : 9781107180567

Get Book

The Theory of Quantum Information by John Watrous Pdf

Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.

Quantum Computing

Eleanor G. Rieffel,Wolfgang H. Polak
Quantum Computing Book PDF

Author : Eleanor G. Rieffel,Wolfgang H. Polak
Publisher : MIT Press
Page : 389 pages
File Size : 48,6 Mb
Release : 2014-08-29
Category : Computers
ISBN : 9780262526678

Get Book

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.

Quantum Computing Since Democritus

Scott Aaronson
Quantum Computing Since Democritus Book PDF

Author : Scott Aaronson
Publisher : Cambridge University Press
Page : 403 pages
File Size : 47,9 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9780521199568

Get Book

Quantum Computing Since Democritus by Scott Aaronson Pdf

Takes students and researchers on a tour through some of the deepest ideas of maths, computer science and physics.

Quantum Computing for the Quantum Curious

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

Author : Ciaran Hughes,Joshua Isaacson,Anastasia Perry,Ranbel F. Sun,Jessica Turner
Publisher : Springer Nature
Page : 159 pages
File Size : 54,8 Mb
Release : 2021-03-22
Category : Science
ISBN : 9783030616014

Get Book

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.

An Introduction to Quantum Computing

Phillip Kaye,Raymond Laflamme,Michele Mosca
An Introduction to Quantum Computing Book PDF

Author : Phillip Kaye,Raymond Laflamme,Michele Mosca
Publisher : Oxford University Press on Demand
Page : 287 pages
File Size : 46,7 Mb
Release : 2007
Category : Computers
ISBN : 9780198570004

Get Book

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.

Quantum Computing

Mikio Nakahara,Tetsuo Ohmi
Quantum Computing Book PDF

Author : Mikio Nakahara,Tetsuo Ohmi
Publisher : CRC Press
Page : 439 pages
File Size : 43,6 Mb
Release : 2008-03-11
Category : Mathematics
ISBN : 9781420012293

Get Book

Quantum Computing by Mikio Nakahara,Tetsuo Ohmi Pdf

Covering both theory and progressive experiments, Quantum Computing: From Linear Algebra to Physical Realizations explains how and why superposition and entanglement provide the enormous computational power in quantum computing. This self-contained, classroom-tested book is divided into two sections, with the first devoted to the theoretical aspect

Quantum Computing Devices

Goong Chen,David A. Church,Berthold-Georg Englert,Carsten Henkel,Bernd Rohwedder,Marlan O. Scully,M. Suhail Zubairy
Quantum Computing Devices Book PDF

Author : Goong Chen,David A. Church,Berthold-Georg Englert,Carsten Henkel,Bernd Rohwedder,Marlan O. Scully,M. Suhail Zubairy
Publisher : CRC Press
Page : 560 pages
File Size : 44,7 Mb
Release : 2006-09-18
Category : Mathematics
ISBN : 9781420011777

Get Book

Quantum Computing Devices by Goong Chen,David A. Church,Berthold-Georg Englert,Carsten Henkel,Bernd Rohwedder,Marlan O. Scully,M. Suhail Zubairy Pdf

One of the first books to thoroughly examine the subject, Quantum Computing Devices: Principles, Designs, and Analysis covers the essential components in the design of a "real" quantum computer. It explores contemporary and important aspects of quantum computation, particularly focusing on the role of quantum electronic devices as quantum gates.

International Symposium on Mathematics, Quantum Theory, and Cryptography

Tsuyoshi Takagi,Masato Wakayama,Keisuke Tanaka,Noboru Kunihiro,Kazufumi Kimoto,Yasuhiko Ikematsu
International Symposium on Mathematics Quantum Theory and Cryptography Book PDF

Author : Tsuyoshi Takagi,Masato Wakayama,Keisuke Tanaka,Noboru Kunihiro,Kazufumi Kimoto,Yasuhiko Ikematsu
Publisher : Springer Nature
Page : 275 pages
File Size : 47,5 Mb
Release : 2020-10-22
Category : Technology & Engineering
ISBN : 9789811551918

Get Book

International Symposium on Mathematics, Quantum Theory, and Cryptography by Tsuyoshi Takagi,Masato Wakayama,Keisuke Tanaka,Noboru Kunihiro,Kazufumi Kimoto,Yasuhiko Ikematsu Pdf

This open access book presents selected papers from International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC), which was held on September 25-27, 2019 in Fukuoka, Japan. The international symposium MQC addresses the mathematics and quantum theory underlying secure modeling of the post quantum cryptography including e.g. mathematical study of the light-matter interaction models as well as quantum computing. The security of the most widely used RSA cryptosystem is based on the difficulty of factoring large integers. However, in 1994 Shor proposed a quantum polynomial time algorithm for factoring integers, and the RSA cryptosystem is no longer secure in the quantum computing model. This vulnerability has prompted research into post-quantum cryptography using alternative mathematical problems that are secure in the era of quantum computers. In this regard, the National Institute of Standards and Technology (NIST) began to standardize post-quantum cryptography in 2016. This book is suitable for postgraduate students in mathematics and computer science, as well as for experts in industry working on post-quantum cryptography.

Introduction to Topological Quantum Computation

Jiannis K. Pachos
Introduction to Topological Quantum Computation Book PDF

Author : Jiannis K. Pachos
Publisher : Cambridge University Press
Page : 220 pages
File Size : 55,7 Mb
Release : 2012-04-12
Category : Computers
ISBN : 9781107005044

Get Book

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.