Essential Mathematics For Quantum Computing
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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!
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.
Principles And Applications Of Quantum Computing Using Essential Math
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Author : Daniel, A.
language : en
Publisher: IGI Global
Release Date : 2023-09-12
Principles And Applications Of Quantum Computing Using Essential Math written by Daniel, A. and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-12 with Mathematics categories.
In the swiftly evolving realm of technology, the challenge of classical computing's constraints in handling intricate problems has become pronounced. While classical computers excel in many areas, they struggle with complex issues in cryptography, optimization, and molecular simulation. Addressing these escalating challenges requires a disruptive solution to push the boundaries of computation and innovation. Principles and Applications of Quantum Computing Using Essential Math, authored by A. Daniel, M. Arvindhan, Kiranmai Bellam, and N. Krishnaraj. This guide pioneers the transformative potential of quantum computing by seamlessly blending rigorous mathematics with quantum theory. It equips scholars, researchers, and aspiring technologists with insights to grasp and harness quantum computing's capabilities. By delving into quantum gates, algorithms, and error correction techniques, the book demystifies quantum computing, inviting exploration of quantum machine learning, cryptography, and the dynamic interplay between classical and quantum computing. As the quantum landscape expands, this book acts as a vital companion, navigating readers through the converging realms of industry, academia, and innovation. Principles and Applications of Quantum Computing Using Essential Math arrives as a timely answer to the limitations of classical computing, providing scholars with an essential roadmap to navigate the quantum technology landscape. With its clear explanations, practical applications, and forward-looking perspectives, this book serves as an indispensable tool for unraveling quantum computing's mysteries and driving innovation into uncharted domains.
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.
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.
Pre Quantum
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Author : Sayonsom Chanda
language : en
Publisher:
Release Date : 2024
Pre Quantum written by Sayonsom Chanda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with categories.
Are you equipped for the Quantum Age? Dive into the essential mathematical, philosophical, and quantum foundations that are imperative for the aspiring Quantum Computing Developer.From the intricacies of Quantum Mechanics to the fundamentals of Linear and Abstract Algebra, "Pre Quantum" offers an all-encompassing journey through the core elements that underpin the Quantum Computing universe. Tailored for professionals with a background in data science, mathematics, computing, or engineering, this book bridges the gap between classical computing paradigms and the emerging realm of quantum technologies.Inside "Pre Quantum", you'll discover:An in-depth understanding of the heartbeat of matter, unraveling the mysteries of Quantum Mechanics and its foundational principles.The crucial role of Linear Algebra as the language of Quantum Computing, diving deep into vectors, matrices, eigenvalues, and the ever-important Bra-Ket notation.The backbone of Quantum Symmetries explored through Abstract Algebra, understanding the intricacies of groups, subgroups, and their quantum applications.A comprehensive overview of stochastic processes, quantum random variables, and their profound connection to Quantum Information Science.The bridge between the classical and quantum realms, showcasing the power and nuances of Fourier Transforms and their quantum counterparts.Why This Book?Targeted Learning: Designed specifically for individuals well-versed in data science, python, and those with a foundational knowledge in math, computing, or engineering.Holistic Approach: Not just mathematical techniques, but also the mindset and philosophical nuances that make Quantum Computing a distinct field.Career-Oriented: As industries shift towards quantum technologies, this book ensures you're prepared, making you a sought-after asset in the Quantum Computing domain.Prepare for a transformative dive into the Quantum world. Whether you're aiming to revolutionize your career or satiate your intellectual curiosity, "Pre Quantum" is your comprehensive guide to navigating the Quantum Computing landscape.Equip yourself today for the Quantum Computing era of tomorrow!
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
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Author : Kuldeep Singh Kaswan
language : en
Publisher: John Wiley & Sons
Release Date : 2023-07-13
Quantum Computing written by Kuldeep Singh Kaswan and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-13 with Computers categories.
QUANTUM COMPUTING A helpful introduction to all aspects of quantum computing Quantum computing is a field combining quantum mechanics—the physical science of nature at the scale of atoms and subatomic particles—and information science. Where ordinary computing uses bits, logical values whose position can either be 0 or 1, quantum computing is built around qubits, a fundamental unit of quantum information which can exist in a superposition of both states. As quantum computers are able to complete certain kinds of functions more accurately and efficiently than computers built on classical binary logic, quantum computing is an emerging frontier which promises to revolutionize information science and its applications. This book provides a concise, accessible introduction to quantum computing. It begins by introducing the essentials of quantum mechanics that information and computer scientists require, before moving to detailed discussions of quantum computing in theory and practice. As quantum computing becomes an ever-greater part of the global information technology landscape, the knowledge in Quantum Computing will position readers to join a vital and highly marketable field of research and development. The book’s readers will also find: Detailed diagrams and illustrations throughout A broadly applicable quantum algorithm that improves on the best-known classical algorithms for a wide range of problems In-depth discussion of essential topics including key distribution, cluster state quantum computing, superconducting qubits, and more Quantum Computing is perfect for advanced undergraduate and graduate students in computer science, engineering, mathematics, or the physical sciences, as well as for researchers and academics at the intersection of these fields who want a concise reference.
Principles Of Quantum Computation And Information A Comprehensive Textbook
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Author : Benenti Giuliano
language : en
Publisher: World Scientific
Release Date : 2018-12-12
Principles Of Quantum Computation And Information A Comprehensive Textbook written by Benenti Giuliano and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-12 with Science categories.
Quantum computation and information is a rapidly developing interdisciplinary field. It is not easy to understand its fundamental concepts and central results without facing numerous technical details. This book provides the reader with a useful guide. In particular, the initial chapters offer a simple and self-contained introduction; no previous knowledge of quantum mechanics or classical computation is required.Various important aspects of quantum computation and information are covered in depth, starting from the foundations (the basic concepts of computational complexity, energy, entropy, and information, quantum superposition and entanglement, elementary quantum gates, the main quantum algorithms, quantum teleportation, and quantum cryptography) up to advanced topics (like entanglement measures, quantum discord, quantum noise, quantum channels, quantum error correction, quantum simulators and tensor networks).It can be used as a broad range textbook for a course in quantum information and computation, both for upper-level undergraduate students and for graduate students. It contains a large number of solved exercises, which are an essential complement to the text, as they will help the student to become familiar with the subject. The book may also be useful as general education for readers who want to know the fundamental principles of quantum information and computation and who have the basic background acquired from their undergraduate course in physics, mathematics, or computer science, as well as for researchers interested in some of the latest spin-off of the field, including the use of quantum information in the theories of many-body systems.
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
Dancing With Qubits
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Author : Robert S. Sutor
language : en
Publisher: Packt Publishing Ltd
Release Date : 2024-03-28
Dancing With Qubits written by Robert S. Sutor 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 2024-03-28 with Computers categories.
Unlock the core math and understand the technical nuances of quantum computing in this detailed guide. Delve into the practicality of NISQ algorithms, and survey promising advancements in quantum machine learning. Key Features Discover how quantum computing works and delve into the math behind it with practical examples Learn about and assess the most up-to-date quantum computing topics including quantum machine learning Explore the inner workings of existing quantum computing technologies to understand how they may perform significantly better than their classical counterparts Book DescriptionDancing with Qubits, Second Edition, is a comprehensive quantum computing textbook that starts with an overview of why quantum computing is so different from classical computing and describes several industry use cases where it can have a major impact. A full description of classical computing and the mathematical underpinnings of quantum computing follows, helping you better understand concepts such as superposition, entanglement, and interference. Next up are circuits and algorithms, both basic and sophisticated, as well as a survey of the physics and engineering ideas behind how quantum computing hardware is built. Finally, the book looks to the future and gives you guidance on understanding how further developments may affect you. This new edition is updated throughout with more than 100 new exercises and includes new chapters on NISQ algorithms and quantum machine learning. Understanding quantum computing requires a lot of math, and this book doesn't shy away from the necessary math concepts you'll need. Each topic is explained thoroughly and with helpful examples, leaving you with a solid foundation of knowledge in quantum computing that will help you pursue and leverage quantum-led technologies.What you will learn Explore the mathematical foundations of quantum computing Discover the complex, mind-bending concepts that underpin quantum systems Understand the key ideas behind classical and quantum computing Refresh and extend your grasp of essential mathematics, computing, and quantum theory Examine a detailed overview of qubits and quantum circuits Dive into quantum algorithms such as Grover’s search, Deutsch-Jozsa, Simon’s, and Shor’s Explore the main applications of quantum computing in the fields of scientific computing, AI, and elsewhere Who this book is for Dancing with Qubits, Second Edition, is a quantum computing textbook for all those who want to understand and explore the inner workings of quantum computing. This entails building up from basic to some sophisticated mathematics and is therefore best suited for those with a healthy interest in mathematics, physics, engineering, or computer science.