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Introduction To Quantum Algorithms Via Linear Algebra Second Edition

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Introduction To Quantum Algorithms Via Linear Algebra Second Edition

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Author : Richard J. Lipton
language : en
Publisher: MIT Press
Release Date : 2021-04-06

Introduction To Quantum Algorithms Via Linear Algebra Second Edition written by Richard J. Lipton and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-06 with Science categories.

Introduction To Quantum Algorithms Via Linear Algebra Second Edition

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Author : Richard J. Lipton
language : en
Publisher: MIT Press
Release Date : 2021-04-06

Quantum Algorithms Via Linear Algebra

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Author : Richard J. Lipton
language : en
Publisher: MIT Press
Release Date : 2014-12-05

Quantum Algorithms Via Linear Algebra written by Richard J. Lipton and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-05 with Science categories.

Quantum computing explained in terms of elementary linear algebra, emphasizing computation and algorithms and requiring no background in physics. This introduction to quantum algorithms is concise but comprehensive, covering many key algorithms. It is mathematically rigorous but requires minimal background and assumes no knowledge of quantum theory or quantum mechanics. The book explains quantum computation in terms of elementary linear algebra; it assumes the reader will have some familiarity with vectors, matrices, and their basic properties, but offers a review of all the relevant material from linear algebra. By emphasizing computation and algorithms rather than physics, this primer makes quantum algorithms accessible to students and researchers in computer science without the complications of quantum mechanical notation, physical concepts, and philosophical issues. After explaining the development of quantum operations and computations based on linear algebra, the book presents the major quantum algorithms, from seminal algorithms by Deutsch, Jozsa, and Simon through Shor's and Grover's algorithms to recent quantum walks. It covers quantum gates, computational complexity, and some graph theory. Mathematical proofs are generally short and straightforward; quantum circuits and gates are used to illuminate linear algebra; and the discussion of complexity is anchored in computational problems rather than machine models. Quantum Algorithms via Linear Algebra is suitable for classroom use or as a reference for computer scientists and mathematicians.

Cryptography And Satellite Navigation

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Author : Joseph J. Rushanan
language : en
Publisher: Artech House
Release Date : 2024-12-31

Cryptography And Satellite Navigation written by Joseph J. Rushanan and has been published by Artech House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-31 with Computers categories.

Cryptography and Satellite Navigation is a comprehensive guide that offers a wide-ranging yet approachable introduction to the world of cryptography, with a particular focus on its role in navigation. In an increasingly connected world, cryptography serves as the cornerstone of secure communication, safeguarding information across countless cyber and navigation applications. The book includes a thorough explanation of the three primary cryptographic methods. Symmetric ciphers provide confidentiality through shared keys, while hashes play a crucial role in ensuring the integrity of information. Asymmetric, or public key cryptography, introduces a level of security through confidentiality and authentication, uniquely using private information to establish digital signatures. The book contains an insightful exploration of quantum computing and its profound implications for the future of cryptography. This book also delves into the practical application of cryptographic methods through cryptographic protocols, essential for the seamless functioning of everyday life. With real-world examples like the Galileo navigation system, the book demonstrates how digital signatures safeguard navigation data, while symmetric ciphers and hashing extend beyond traditional data protection to ensure the authenticity of navigation signals. This book provides valuable insights into the essential role of cryptography in both cyber and navigation domains, preparing its reader for the challenges of a rapidly evolving technological landscape, whether the reader is a seasoned professional or new to the field.

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.

A Mathematical Introduction To Electronic Structure Theory

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Author : Lin Lin
language : en
Publisher: SIAM
Release Date : 2019-06-05

A Mathematical Introduction To Electronic Structure Theory written by Lin Lin and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-05 with Mathematics categories.

Based on first principle quantum mechanics, electronic structure theory is widely used in physics, chemistry, materials science, and related fields and has recently received increasing research attention in applied and computational mathematics. This book provides a self-contained, mathematically oriented introduction to the subject and its associated algorithms and analysis. It will help applied mathematics students and researchers with minimal background in physics understand the basics of electronic structure theory and prepare them to conduct research in this area. The book begins with an elementary introduction of quantum mechanics, including the uncertainty principle and the Hartree?Fock theory, which is considered the starting point of modern electronic structure theory. The authors then provide an in-depth discussion of two carefully selected topics that are directly related to several aspects of modern electronic structure calculations: density matrix based algorithms and linear response theory. Chapter 2 introduces the Kohn?Sham density functional theory with a focus on the density matrix based numerical algorithms, and Chapter 3 introduces linear response theory, which provides a unified viewpoint of several important phenomena in physics and numerics. An understanding of these topics will prepare readers for more advanced topics in this field. The book concludes with the random phase approximation to the correlation energy. The book is written for advanced undergraduate and beginning graduate students, specifically those with mathematical backgrounds but without a priori knowledge of quantum mechanics, and can be used for self-study by researchers, instructors, and other scientists. The book can also serve as a starting point to learn about many-body perturbation theory, a topic at the frontier of the study of interacting electrons.

Springer Handbook Of Atomic Molecular And Optical Physics

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Author : Gordon W. F. Drake
language : en
Publisher: Springer Nature
Release Date : 2023-02-09

Springer Handbook Of Atomic Molecular And Optical Physics written by Gordon W. F. Drake and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-09 with Science categories.

Comprises a comprehensive reference source that unifies the entire fields of atomic molecular and optical (AMO) physics, assembling the principal ideas, techniques and results of the field. 92 chapters written by about 120 authors present the principal ideas, techniques and results of the field, together with a guide to the primary research literature (carefully edited to ensure a uniform coverage and style, with extensive cross-references). Along with a summary of key ideas, techniques, and results, many chapters offer diagrams of apparatus, graphs, and tables of data. From atomic spectroscopy to applications in comets, one finds contributions from over 100 authors, all leaders in their respective disciplines. Substantially updated and expanded since the original 1996 edition, it now contains several entirely new chapters covering current areas of great research interest that barely existed in 1996, such as Bose-Einstein condensation, quantum information, and cosmological variations of the fundamental constants. A fully-searchable CD- ROM version of the contents accompanies the handbook.

Introduction To Quantum Computers

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Author : Gennady P Berman
language : en
Publisher: World Scientific
Release Date : 1998-07-07

Introduction To Quantum Computers written by Gennady P Berman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-07 with Science categories.

Quantum computing promises to solve problems which are intractable on digital computers. Highly parallel quantum algorithms can decrease the computational time for some problems by many orders of magnitude. This important book explains how quantum computers can do these amazing things. Several algorithms are illustrated: the discrete Fourier transform, Shor's algorithm for prime factorization; algorithms for quantum logic gates; physical implementations of quantum logic gates in ion traps and in spin chains; the simplest schemes for quantum error correction; correction of errors caused by imperfect resonant pulses; correction of errors caused by the nonresonant actions of a pulse; and numerical simulations of dynamical behavior of the quantum Control-Not gate. An overview of some basic elements of computer science is presented, including the Turing machine, Boolean algebra, and logic gates. The required quantum ideas are explained.

An Introduction To Quantum Computing

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Author : Phillip Kaye
language : en
Publisher: OUP Oxford
Release Date : 2006-11-17

An Introduction To Quantum Computing written by Phillip Kaye and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-17 with Computers categories.

This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as quantum mechanics and computational complexity is not required.

Quantum Computing For Everyone

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Author : Chris Bernhardt
language : en
Publisher: MIT Press
Release Date : 2019-03-19

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 2019-03-19 with Computers categories.

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.

Introduction To Quantum Algorithms Via Linear Algebra Second Edition

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