Mathematics Of Quantum Computing
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Mathematics Of Quantum Computing
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Author : Wolfgang Scherer
language : en
Publisher: Springer
Release Date : 2019-11-22
Mathematics Of Quantum Computing written by Wolfgang Scherer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-22 with Computers categories.
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
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Author : Ranee K. Brylinski
language : en
Publisher: CRC Press
Release Date : 2002-02-14
Mathematics Of Quantum Computation written by Ranee K. Brylinski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-14 with Computers categories.
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 sc
Mathematics Of Quantum Computation And Quantum Technology
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Author : Louis Kauffman
language : en
Publisher: CRC Press
Release Date : 2007-09-19
Mathematics Of Quantum Computation And Quantum Technology written by Louis Kauffman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-19 with Mathematics categories.
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 an
Quantum Computing For Everyone
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Author : Chris Bernhardt
language : en
Publisher: MIT Press
Release Date : 2020-09-08
Quantum Computing For Everyone written by Chris Bernhardt and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-08 with Computers categories.
FOR NON-EXPERTS: Get an accessible introduction to quantum computing as a mathematician explains quantum algorithms, quantum entanglement, and more. Quantum computing is a beautiful fusion of quantum physics and computer science! Quantum computing incorporates some of the most stunning ideas from 20th-century physics into an entirely new way of thinking about computation. Here, Chris Bernhardt offers an introduction to quantum computing that is accessible to anyone comfortable with high school mathematics. A mathematician himself, Bernhardt simplifies the mathematics and provides elementary examples that illustrate both how the math works and what it means. He explains for the non-expert: • Quantum bits, or qubits—the basic unit of quantum computing • Quantum entanglement and what it means when qubits are entangled • Quantum cryptography • Classical computing topics like bits, gates, and logic • Quantum gates • Quantum algorithms and their speed • Quantum computers and how they’re built • And more! 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.
Classical And Quantum Computation
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Author : Alexei Yu. Kitaev
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Classical And Quantum Computation written by Alexei Yu. Kitaev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.
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
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Author : Masanori Ohya
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-15
Mathematical Foundations Of Quantum Information And Computation And Its Applications To Nano And Bio Systems written by Masanori Ohya and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-15 with Science categories.
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.
Essential Mathematics For Quantum Computing
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Author : Leonard S. Woody III
language : en
Publisher: Packt Publishing Ltd
Release Date : 2022-04-22
Essential Mathematics For Quantum Computing written by Leonard S. Woody III and has been published by Packt Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-22 with Mathematics categories.
Demystify quantum computing by learning the math it is built on Key Features Build a solid mathematical foundation to get started with developing powerful quantum solutions Understand linear algebra, calculus, matrices, complex numbers, vector spaces, and other concepts essential for quantum computing Learn the math needed to understand how quantum algorithms function Book DescriptionQuantum computing is an exciting subject that offers hope to solve the world’s most complex problems at a quicker pace. It is being used quite widely in different spheres of technology, including cybersecurity, finance, and many more, but its concepts, such as superposition, are often misunderstood because engineers may not know the math to understand them. This book will teach the requisite math concepts in an intuitive way and connect them to principles in quantum computing. Starting with the most basic of concepts, 2D vectors that are just line segments in space, you'll move on to tackle matrix multiplication using an instinctive method. Linearity is the major theme throughout the book and since quantum mechanics is a linear theory, you'll see how they go hand in hand. As you advance, you'll understand intrinsically what a vector is and how to transform vectors with matrices and operators. You'll also see how complex numbers make their voices heard and understand the probability behind it all. It’s all here, in writing you can understand. This is not a stuffy math book with definitions, axioms, theorems, and so on. This book meets you where you’re at and guides you to where you need to be for quantum computing. Already know some of this stuff? No problem! The book is componentized, so you can learn just the parts you want. And with tons of exercises and their answers, you'll get all the practice you need.What you will learn Operate on vectors (qubits) with matrices (gates) Define linear combinations and linear independence Understand vector spaces and their basis sets Rotate, reflect, and project vectors with matrices Realize the connection between complex numbers and the Bloch sphere Determine whether a matrix is invertible and find its eigenvalues Probabilistically determine the measurement of a qubit Tie it all together with bra-ket notation Who this book is for If you want to learn quantum computing but are unsure of the math involved, this book is for you. If you’ve taken high school math, you’ll easily understand the topics covered. And even if you haven’t, the book will give you a refresher on topics such as trigonometry, matrices, and vectors. This book will help you gain the confidence to fully understand quantum computation without losing you in the process!
International Symposium On Mathematics Quantum Theory And Cryptography
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Author : Tsuyoshi Takagi
language : en
Publisher: Springer Nature
Release Date : 2020-10-22
International Symposium On Mathematics Quantum Theory And Cryptography written by Tsuyoshi Takagi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-22 with Technology & Engineering categories.
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.
Mathematics Of Quantum Computing
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Author : Wolfgang Scherer
language : en
Publisher: Springer Nature
Release Date : 2019-11-13
Mathematics Of Quantum Computing written by Wolfgang Scherer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-13 with Computers categories.
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.
Quantum Computing An Applied Approach
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Author : Jack D. Hidary
language : en
Publisher: Springer Nature
Release Date : 2021-09-29
Quantum Computing An Applied Approach written by Jack D. Hidary and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-29 with Science categories.
This book integrates the foundations of quantum computing with a hands-on coding approach to this emerging field; it is the first to bring these elements together in an updated manner. This work is suitable for both academic coursework and corporate technical training. The second edition includes extensive updates and revisions, both to textual content and to the code. Sections have been added on quantum machine learning, quantum error correction, Dirac notation and more. This new edition benefits from the input of the many faculty, students, corporate engineering teams, and independent readers who have used the first edition. This volume comprises three books under one cover: Part I outlines the necessary foundations of quantum computing and quantum circuits. Part II walks through the canon of quantum computing algorithms and provides code on a range of quantum computing methods in current use. Part III covers the mathematical toolkit required to master quantum computing. Additional resources include a table of operators and circuit elements and a companion GitHub site providing code and updates. Jack D. Hidary is a research scientist in quantum computing and in AI at Alphabet X, formerly Google X.