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Quantum Computing in Action

by Johan Vos

Quantum computing is on the horizon and you can get started today! This practical, clear-spoken guide shows you don&’t need a physics degree to write your first quantum software. In Quantum Computing in Action you will learn: An introduction to the core concepts of quantum computing Qubits and quantum gates Superposition, entanglement, and hybrid computing Quantum algorithms including Shor&’s, Deutsch-jozsa, and Grover&’s search Quantum Computing in Action shows you how to leverage your existing Java skills into writing your first quantum software, so you&’re ready for the quantum revolution. This book is focused on practical implementations of quantum computing algorithms—there&’s no deep math or confusing theory. Using Strange, a Java-based quantum computer simulator, you&’ll go hands-on with quantum computing&’s core components including qubits and quantum gates. About the technology Quantum computing promises unimaginably fast performance for tasks like encryption, scientific modeling, manufacturing logistics, financial modeling, and AI. Developers can explore quantum computing now using free simulators, and increasingly powerful true quantum systems are gradually becoming available for production use. This book gives you a head start on quantum computing by introducing core concepts, key algorithms, and the most beneficial use cases. About the book Quantum Computing in Action is a gentle introduction to the ideas and applications of quantum computing. After briefly reviewing the science that makes quantum tick, it guides you through practical implementations of quantum computing algorithms. You&’ll write your first quantum code and explore qubits and quantum gates with the Java-based Strange quantum simulator. You&’ll enjoy the interesting examples and insightful explanations as you create quantum algorithms using standard Java and your favorite IDE and build tools. What's inside An introduction to the core concepts of quantum computing Qubits and quantum gates Superposition, entanglement, and hybrid computing Quantum algorithms including Shor&’s, Deutsch-jozsa, and Grover&’s search About the reader For Java developers. No advanced math knowledge required. About the author Johan Vos is a cofounder of Gluon, a Java technology company. He is a Java Champion and holds an MSc in Mining Engineering and a PhD in Applied Physics. Table of Contents PART 1 QUANTUM COMPUTING INTRODUCTION 1 Evolution, revolution, or hype? 2 &“Hello World,&” quantum computing style 3 Qubits and quantum gates: The basic units in quantum computing PART 2 FUNDAMENTAL CONCEPTS AND HOW THEY RELATE TO CODE 4 Superposition 5 Entanglement 6 Quantum networking: The basics PART 3 QUANTUM ALGORITHMS AND CODE 7 Our HelloWorld, explained 8 Secure communication using quantum computing 9 Deutsch-Jozsa algorithm 10 Grover&’s search algorithm 11 Shor&’s algorithm

Quantum Computing in Cybersecurity

by Romil Rawat Rajesh Kumar Chakrawarti Sanjaya Kumar Sarangi Jaideep Patel Vivek Bhardwaj Anjali Rawat Hitesh Rawat

Machine learning, deep learning, probabilistic neural networks, blockchain, and other new technologies all demand extremely high processing speeds. A quantum computer is an example of such a system. Quantum computers may be accessed over the internet. This technology poses a significant risk, since quantum terrorists, or cyber criminals, coul be able to cause many problems, including bringing down the internet. The principles of quantum mechanics might be used by evil doers to destroy quantum information on a global scale, and an entire class of suspicious codes could destroy data or eavesdrop on communication. Quantum physics, however, safeguards against data eavesdropping. A significant amount of money is being invested in developing and testing a quantum version of the internet that will eliminate eavesdropping and make communication nearly impenetrable to cyber-attacks. The simultaneous activation of quantum terrorists (organized crime) can lead to significant danger by attackers introducing quantum information into the network, breaking the global quantum state, and preventing the system from returning to its starting state. Without signs of identifying information and real-time communication data, such vulnerabilities are very hard to discover. Terrorists' synchronized and coordinated acts have an impact on security by sparking a cyber assault in a fraction of a second. The encryption is used by cyber-criminal groups with the genuine, nefarious, and terrible motives of killing innocent people or stealing money. In the hands of criminals and codes, cryptography is a dangerous and formidable weapon. Small amounts of digital information are hidden in a code string that translates into an image on the screen, making it impossible for the human eye to identify a coded picture from its uncoded equivalents. To steal the cryptographic key necessary to read people's credit card data or banking information, cyber thieves employ installed encryption techniques, human mistakes, keyboard loggers, and computer malware. This new volume delves into the latest cutting-edge trends and the most up-to-date processes and applications for quantum computing to bolster cybersecurity. Whether for the veteran computer engineer working in the field, other computer scientists and professionals, or for the student, this is a one-stop-shop for quantum computing in cyber security and a must have for any library.

Quantum Computing in Practice with Qiskit® and IBM Quantum Experience®: Practical recipes for quantum computer coding at the gate and algorithm level with Python

by Hassi Norlen

Understand the nuances of programming traditional quantum computers and solve the challenges of the future while building and executing quantum programs on IBM Quantum hardware and simulatorsKey FeaturesWork your way up from writing a simple quantum program to programming complex quantum algorithmsExplore the probabilistic nature of qubits by performing quantum coin tosses and using random number generatorsDelve into quantum algorithms and their practical applications in various domainsBook DescriptionIBM Quantum Experience® is a leading platform for programming quantum computers and implementing quantum solutions directly on the cloud. This book will help you get up to speed with programming quantum computers and provide solutions to the most common problems and challenges.You'll start with a high-level overview of IBM Quantum Experience® and Qiskit®, where you will perform the installation while writing some basic quantum programs. This introduction puts less emphasis on the theoretical framework and more emphasis on recent developments such as Shor's algorithm and Grover's algorithm. Next, you'll delve into Qiskit®, a quantum information science toolkit, and its constituent packages such as Terra, Aer, Ignis, and Aqua. You'll cover these packages in detail, exploring their benefits and use cases. Later, you'll discover various quantum gates that Qiskit® offers and even deconstruct a quantum program with their help, before going on to compare Noisy Intermediate-Scale Quantum (NISQ) and Universal Fault-Tolerant quantum computing using simulators and actual hardware. Finally, you'll explore quantum algorithms and understand how they differ from classical algorithms, along with learning how to use pre-packaged algorithms in Qiskit® Aqua.By the end of this quantum computing book, you'll be able to build and execute your own quantum programs using IBM Quantum Experience® and Qiskit® with Python.What you will learnVisualize a qubit in Python and understand the concept of superpositionInstall a local Qiskit® simulator and connect to actual quantum hardwareCompose quantum programs at the level of circuits using Qiskit® TerraCompare and contrast Noisy Intermediate-Scale Quantum computing (NISQ) and Universal Fault-Tolerant quantum computing using simulators and IBM Quantum® hardwareMitigate noise in quantum circuits and systems using Qiskit® IgnisUnderstand the difference between classical and quantum algorithms by implementing Grover's algorithm in Qiskit®Who this book is forThis book is for developers, data scientists, machine learning researchers, or quantum computing enthusiasts who want to understand how to use IBM Quantum Experience® and Qiskit® to implement quantum solutions and gain practical quantum computing experience. Python programming experience is a must to grasp the concepts covered in the book more effectively. Basic knowledge of quantum computing will also be beneficial.

Quantum Computing in the Arts and Humanities: An Introduction to Core Concepts, Theory and Applications

by Eduardo Reck Miranda

Computers are essential for the functioning of our society. Despite the incredible power of existing computers, computing technology is progressing beyond today’s conventional models. Quantum Computing (QC) is surfacing as a promising disruptive technology. QC is built on the principles of quantum mechanics. QC can run algorithms that are not trivial to run on digital computers. QC systems are being developed for the discovery of new materials and drugs and improved methods for encoding information for secure communication over the Internet. Unprecedented new uses for this technology are bound to emerge from ongoing research.The development of conventional digital computing technology for the arts and humanities has been progressing in tandem with the evolution of computers since the 1950s. Today, computers are absolutely essential for the arts and humanities. Therefore, future developments in QC are most likely to impact on the way in which artists will create and perform, and how research in the humanities will be conducted.This book presents a comprehensive collection of chapters by pioneers of emerging interdisciplinary research at the crossroads of quantum computing, and the arts and humanities, from philosophy and social sciences to visual arts and music.Prof. Eduardo Reck Miranda is a composer and a professor in Computer Music at Plymouth University, UK, where he is a director of the Interdisciplinary Centre for Computer Music Research (ICCMR). His previous publications include the Springer titles Handbook of Artificial Intelligence for Music, Guide to Unconventional Computing for Music, Guide to Brain-Computer Music Interfacing and Guide to Computing for Expressive Music Performance.

Quantum Computing since Democritus

by Scott Aaronson

Written by noted quantum computing theorist Scott Aaronson, this book takes readers on a tour through some of the deepest ideas of maths, computer science and physics. Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

Quantum Computing Solutions: Solving Real-World Problems Using Quantum Computing and Algorithms

by Bhagvan Kommadi

Know how to use quantum computing solutions involving artificial intelligence (AI) algorithms and applications across different disciplines.Quantum solutions involve building quantum algorithms that improve computational tasks within quantum computing, AI, data science, and machine learning. As opposed to quantum computer innovation, quantum solutions offer automation, cost reduction, and other efficiencies to the problems they tackle.Starting with the basics, this book covers subsystems and properties as well as the information processing network before covering quantum simulators. Solutions such as the Traveling Salesman Problem, quantum cryptography, scheduling, and cybersecurity are discussed in step-by-step detail. The book presents code samples based on real-life problems in a variety of industries, such as risk assessment and fraud detection in banking. In pharma, you will look at drug discovery and protein-folding solutions. Supply chain optimization and purchasing solutions are presented in the manufacturing domain. In the area of utilities, energy distribution and optimization problems and solutions are explained. Advertising scheduling and revenue optimization solutions are included from media and technology verticals. What You Will Learn Understand the mathematics behind quantum computingKnow the solution benefits, such as automation, cost reduction, and efficienciesBe familiar with the quantum subsystems and properties, including states, protocols, operations, and transformationsBe aware of the quantum classification algorithms: classifiers, and support and sparse support vector machinesUse AI algorithms, including probability, walks, search, deep learning, and parallelism Who This Book Is For Developers in Python and other languages interested in quantum solutions. The secondary audience includes IT professionals and academia in mathematics and physics. A tertiary audience is those in industry verticals such as manufacturing, banking, and pharma.

Quantum Computing with Silq Programming: Get up and running with quantum computing with the simplicity of this new high-level programming language

by Srinjoy Ganguly Thomas Cambier

Learn the mathematics behind quantum computing and explore the high-level quantum language Silq to take your quantum programming skills to the next levelKey FeaturesHarness the potential of quantum computers more effectively using SilqLearn how to solve core problems that you may face while writing quantum programsExplore useful quantum applications such as cryptography and quantum machine learningBook DescriptionQuantum computing is a growing field, with many research projects focusing on programming quantum computers in the most efficient way possible. One of the biggest challenges faced with existing languages is that they work on low-level circuit model details and are not able to represent quantum programs accurately. Developed by researchers at ETH Zurich after analyzing languages including Q# and Qiskit, Silq is a high-level programming language that can be viewed as the C++ of quantum computers! Quantum Computing with Silq Programming helps you explore Silq and its intuitive and simple syntax to enable you to describe complex tasks with less code. This book will help you get to grips with the constructs of the Silq and show you how to write quantum programs with it. You'll learn how to use Silq to program quantum algorithms to solve existing and complex tasks. Using quantum algorithms, you'll also gain practical experience in useful applications such as quantum error correction, cryptography, and quantum machine learning. Finally, you'll discover how to optimize the programming of quantum computers with the simple Silq. By the end of this Silq book, you'll have mastered the features of Silq and be able to build efficient quantum applications independently.What you will learnIdentify the challenges that researchers face in quantum programmingUnderstand quantum computing concepts and learn how to make quantum circuitsExplore Silq programming constructs and use them to create quantum programsUse Silq to code quantum algorithms such as Grover's and Simon'sDiscover the practicalities of quantum error correction with SilqExplore useful applications such as quantum machine learning in a practical wayWho this book is forThis Silq quantum computing book is for students, researchers, and scientists looking to learn quantum computing techniques and software development. Quantum computing enthusiasts who want to explore this futuristic technology will also find this book useful. Beginner-level knowledge of any programming language as well as mathematical topics such as linear algebra, probability, complex numbers, and statistics is required.

Quantum Correlations: A Modern Augmentation (Springer Theses)

by Farid Shahandeh

The correlations between physical systems provide significant information about their collective behaviour – information that is used as a resource in many applications, e.g. communication protocols. However, when it comes to the exploitation of such correlations in the quantum world, identification of the associated ‘resource’ is extremely challenging and a matter of debate in the quantum community. This dissertation describes three key results on the identification, detection, and quantification of quantum correlations. It starts with an extensive and accessible introduction to the mathematical and physical grounds for the various definitions of quantum correlations. It subsequently focusses on introducing a novel unified picture of quantum correlations by taking a modern resource-theoretic position. The results show that this novel concept plays a crucial role in the performance of collaborative quantum computations that is not captured by the standard textbook approaches. Further, this new perspective provides a deeper understanding of the quantum-classical boundary and paves the way towards establishing a resource theory of quantum computations.

Quantum Cryptography: From Key Distribution to Conference Key Agreement (Quantum Science and Technology)

by Federico Grasselli

Rising concerns about the security of our data have made quantum cryptography a very active research field in recent years. Quantum cryptographic protocols promise everlasting security by exploiting distinctive quantum properties of nature. The most extensively implemented protocol is quantum key distribution (QKD), which enables secure communication between two users. The aim of this book is to introduce the reader to state-of-the-art QKD and illustrate its recent multi-user generalization: quantum conference key agreement. With its pedagogical approach that doesn’t disdain going into details, the book enables the reader to join in cutting-edge research on quantum cryptography.

Quantum Decision Theory and Complexity Modelling in Economics and Public Policy (New Economic Windows)

by Anirban Chakraborti Emmanuel Haven Sudip Patra Naresh Singh

This book is an outcome of the interdisciplinary conference held at OP Jindal Global University (Quantum Decision-making and Complexity modeling, and their possible applications in social sciences- economics, finance and public policy). The volume builds upon the emerging fields of Econophysics, Complexity theory and Quantum like modelling in cognition and social sciences, and their plausible applications in economics and public policy. There can be deep linkages between the micro, meso and macro scales at which these paradigms operate. In this data-driven age, greater amounts of information, along with the facility to harvest, sort and process said information, have permitted an expansion of the capability to study a society’s various factors to a degree of detail and inclusiveness that has never before been available to researchers. As a result, an increasing number of throughlines is being discovered, revealing heretofore unknown connections between various disciplines and enhancing the study of such societal tropes as finance, language, shared behavior, and many others. As the reader will see, with clearer understanding of the interconnectedness of society’s assorted parts comes a clearer understanding of the society as a whole. We have received critical thoughts from noted experts in social and natural sciences to explore possible interconnections. The editors of this book earnestly hope that the critical reviews presented in this volume will stimulate further scholarly interest, but also interest among policy practitioners for the purpose of exploring possibilities for creating a new paradigm for comprehending pressing issues of deep uncertainty and emergence in social dynamics.

Quantum-Dot Cellular Automata Based Digital Logic Circuits: A Design Perspective (Studies in Computational Intelligence #879)

by Trailokya Nath Sasamal Ashutosh Kumar Singh Anand Mohan

This book covers several futuristic computing technologies like quantum computing, quantum-dot cellular automata, DNA computing, and optical computing. In turn, it explains them using examples and tutorials on a CAD tool that can help beginners get a head start in QCA layout design. It discusses research on the design of circuits in quantum-dot cellular automata (QCA) with the objectives of obtaining low-complexity, robust designs for various arithmetic operations. The book also investigates the systematic reduction of majority logic in the realization of multi-bit adders, dividers, ALUs, and memory.

Quantum Dots for Quantum Information Processing: Controlling and Exploiting the Quantum Dot Environment

by Martin J. A. Schütz

This thesis offers a comprehensive introduction to surface acoustic waves in the quantum regime. It addresses two of the most significant technological challenges in developing a scalable quantum information processor based on spins in quantum dots: (i) decoherence of the electronic spin qubit due to the surrounding nuclear spin bath, and (ii) long-range spin-spin coupling between remote qubits. Electron spins confined in quantum dots (QDs) are among the leading contenders for implementing quantum information processing. To this end, the author pursues novel strategies that turn the unavoidable coupling to the solid-state environment (in particular, nuclear spins and phonons) into a valuable asset rather than a liability.

Quantum Error Correction: Symmetric, Asymmetric, Synchronizable, and Convolutional Codes (Quantum Science and Technology)

by Giuliano Gadioli La Guardia

This text presents an algebraic approach to the construction of several important families of quantum codes derived from classical codes by applying the well-known Calderbank-Shor-Steane (CSS), Hermitian, and Steane enlargement constructions to certain classes of classical codes. In addition, the book presents families of asymmetric quantum codes with good parameters and provides a detailed description of the procedures adopted to construct families of asymmetric quantum convolutional codes.Featuring accessible language and clear explanations, the book is suitable for use in advanced undergraduate and graduate courses as well as for self-guided study and reference. It provides an expert introduction to algebraic techniques of code construction and, because all of the constructions are performed algebraically, it enables the reader to construct families of codes, rather than only codes with specific parameters. The text offers an abundance of worked examples, exercises, and open-ended problems to motivate the reader to further investigate this rich area of inquiry. End-of-chapter summaries and a glossary of key terms allow for easy review and reference.

Quantum Error Correction and Fault Tolerant Quantum Computing

by null Frank Gaitan

It was once widely believed that quantum computation would never become a reality. However, the discovery of quantum error correction and the proof of the accuracy threshold theorem nearly ten years ago gave rise to extensive development and research aimed at creating a working, scalable quantum computer. Over a decade has passed since this monumental accomplishment yet no book-length pedagogical presentation of this important theory exists.Quantum Error Correction and Fault Tolerant Quantum Computing offers the first full-length exposition on the realization of a theory once thought impossible. It provides in-depth coverage on the most important class of codes discovered to date—quantum stabilizer codes. It brings together the central themes of quantum error correction and fault-tolerant procedures to prove the accuracy threshold theorem for a particular noise error model. The author also includes a derivation of well-known bounds on the parameters of quantum error correcting code. Packed with over 40 real-world problems, 35 field exercises, and 17 worked-out examples, this book is the essential resource for any researcher interested in entering the quantum field as well as for those who want to understand how the unexpected realization of quantum computing is possible.

The Quantum Evolution: Application of AI and Robotics in the Future of Quantum Technology

by Alex Khang Kali Charan Rath

The book offers a comprehensive exploration of the fusion between quantum technology, AI, and robotics, providing readers with a deep understanding of the interplay between these fields and the transformative potential they hold.The Quantum Evolution: Application of AI and Robotics in the Future of Quantum Technology uncovers the potential of quantum algorithms to tackle complex computational problems exponentially faster than classical counterparts. Readers are introduced to quantum machine learning and its potential to revolutionize AI by enabling more efficient data analysis, pattern recognition, and decision-making. The book explores the potential applications of quantum-inspired neural networks and how they can enhance the capabilities of AI systems, ushering in a new era of intelligent machines. It also delves into the potential risks and challenges associated with quantum technology integration, such as quantum security and privacy concerns. The book showcases numerous real-world applications and examples of how quantum technology, AI, and robotics are being utilized today, giving readers concrete insights into how these advancements are shaping industries, health care, communication, and more.This book targets a mixed audience of specialists, analysts, engineers, scholars, researchers, academics, professionals, and students from different communities to share and contribute new ideas, methodologies, technologies, models, frameworks, theories, and practices in quantum technology.

Quantum Finance: Intelligent Forecast and Trading Systems

by Raymond S. Lee

With the exponential growth of program trading in the global financial industry, quantum finance and its underlying technologies have become one of the hottest topics in the fintech community. Numerous financial institutions and fund houses around the world require computer professionals with a basic understanding of quantum finance to develop intelligent financial systems. This book presents a selection of the author’s past 15 years’ R&D work and practical implementation of the Quantum Finance Forecast System – which integrates quantum field theory and related AI technologies to design and develop intelligent global financial forecast and quantum trading systems. The book consists of two parts: Part I discusses the basic concepts and theories of quantum finance and related AI technologies, including quantum field theory, quantum price fields, quantum price level modelling and quantum entanglement to predict major financial events. Part II then examines the current, ongoing R&D projects on the application of quantum finance technologies in intelligent real-time financial prediction and quantum trading systems. This book is both a textbook for undergraduate & masters level quantum finance, AI and fintech courses and a valuable resource for researchers and data scientists working in the field of quantum finance and intelligent financial systems. It is also of interest to professional traders/ quants & independent investors who would like to grasp the basic concepts and theory of quantum finance, and more importantly how to adopt this fascinating technology to implement intelligent financial forecast and quantum trading systems. For system implementation, the interactive quantum finance programming labs listed on the Quantum Finance Forecast Centre official site (QFFC.org) enable readers to learn how to use quantum finance technologies presented in the book.

Quantum Game Simulation (Emergence, Complexity and Computation #36)

by Ramon Alonso-Sanz

This book addresses two disciplines that have traditionally occupied completely different realms: quantum information and computation, and game theory. Helping readers connect these fields, it appeals to a wide audience, including computer scientists, engineers, mathematicians, physicists, biologists or economists. The book is richly illustrated and basic concepts are accessible to readers with basic training in science. As such it is useful for undergraduate students as well as established academicians and researchers. Further, the didactic and tutorial-like style makes it ideal supplementary reading for courses on quantum information and computation, game theory, cellular automata and simulation.

Quantum Hybrid Electronics and Materials (Quantum Science and Technology)

by Yoshiro Hirayama Kazuhiko Hirakawa Hiroshi Yamaguchi

This book highlights recent advances in quantum control technologies with regard to hybrid quantum systems. It addresses the following topics: phonon engineering based on phononic crystals, carbon-based nano materials like graphene and nanotubes, Terahertz light technology for single-molecule and quantum dots, nuclear-spin-based metrology for semiconductor quantum systems, quantum anomalous Hall effect in magnetic topological insulators, chiral three-dimensional photonic crystals, and bio-inspired magnonic systems. Each topic, as a component in the framework of hybrid quantum systems, is concisely presented by experts at the forefront of the field. Accordingly, the book offers a valuable asset, and will help readers find advanced technologies and materials suitable for their purposes.

Quantum Image Processing

by Fei Yan Salvador E. Venegas-Andraca

This book provides a comprehensive introduction to quantum image processing, which focuses on extending conventional image processing tasks to the quantum computing frameworks. It summarizes the available quantum image representations and their operations, reviews the possible quantum image applications and their implementation, and discusses the open questions and future development trends. It offers a valuable reference resource for graduate students and researchers interested in this emerging interdisciplinary field.

Quantum Information and Coherence

by Erika Andersson Patrik Öhberg

This book offers an introduction to ten key topics in quantum information science and quantum coherent phenomena, aimed at graduate-student level. The chapters cover some of the most recent developments in this dynamic research field where theoretical and experimental physics, combined with computer science, provide a fascinating arena for groundbreaking new concepts in information processing. The book addresses both the theoretical and experimental aspects of the subject, and clearly demonstrates how progress in experimental techniques has stimulated a great deal of theoretical effort and vice versa. Experiments are shifting from simply preparing and measuring quantum states to controlling and manipulating them, and the book outlines how the first real applications, notably quantum key distribution for secure communication, are starting to emerge. The chapters cover quantum retrodiction, ultracold quantum gases in optical lattices, optomechanics, quantum algorithms, quantum key distribution, quantum control based on measurement, orbital angular momentum of light, entanglement theory, trapped ions and quantum metrology, and open quantum systems subject to decoherence. The contributing authors have been chosen not just on the basis of their scientific expertise, but also because of their ability to offer pedagogical and well-written contributions which will be of interest to students and established researchers.

Quantum Information, Computation and Cryptography

by Fabio Benatti Dimitri Petritis Mark Fannes Roberto Floreanini

This multi-authored textbook addresses graduate students with a background in physics, mathematics or computer science. No research experience is necessary. Consequently, rather than comprehensively reviewing the vast body of knowledge and literature gathered in the past twenty years, this book concentrates on a number of carefully selected aspects of quantum information theory and technology. Given the highly interdisciplinary nature of the subject, the multi-authored approach brings together different points of view from various renowned experts, providing a coherent picture of the subject matter. The book consists of ten chapters and includes examples, problems, and exercises. The first five present the mathematical tools required for a full comprehension of various aspects of quantum mechanics, classical information, and coding theory. Chapter 6 deals with the manipulation and transmission of information in the quantum realm. Chapters 7 and 8 discuss experimental implementations of quantum information ideas using photons and atoms. Finally, chapters 9 and 10 address ground-breaking applications in cryptography and computation.

Quantum Information in the Nanoelectronic World (Synthesis Lectures on Engineering, Science, and Technology)

by David K. Ferry

This book provides a concise introduction to quantum information and quantum science. The author discusses in language accessible to a broad audience, the why and how, as well as implementation technologies. The discussion includes coverage of general computing (e.g., Turing ideas) for comparison, and ideas like entropy and minimum dissipation. Topics such as quantum communications and quantum sensing enhance the discussion of quantum computing. In addition, the manner in which entanglement is used in each of these sub-fields is addressed with applications and, for example, a discussion of the quantum Fourier transform.

Quantum Information Meets Quantum Matter: From Quantum Entanglement to Topological Phases of Many-Body Systems (Quantum Science and Technology)

by Bei Zeng Xie Chen Duan-Lu Zhou Xiao-Gang Wen

This book approaches condensed matter physics from the perspective of quantum information science, focusing on systems with strong interaction and unconventional order for which the usual condensed matter methods like the Landau paradigm or the free fermion framework break down. Concepts and tools in quantum information science such as entanglement, quantum circuits, and the tensor network representation prove to be highly useful in studying such systems. The goal of this book is to introduce these techniques and show how they lead to a new systematic way of characterizing and classifying quantum phases in condensed matter systems. The first part of the book introduces some basic concepts in quantum information theory which are then used to study the central topic explained in Part II: local Hamiltonians and their ground states. Part III focuses on one of the major new phenomena in strongly interacting systems, the topological order, and shows how it can essentially be defined and characterized in terms of entanglement. Part IV shows that the key entanglement structure of topological states can be captured using the tensor network representation, which provides a powerful tool in the classification of quantum phases. Finally, Part V discusses the exciting prospect at the intersection of quantum information and condensed matter physics – the unification of information and matter. Intended for graduate students and researchers in condensed matter physics, quantum information science and related fields, the book is self-contained and no prior knowledge of these topics is assumed.

Quantum Information Processing: Theory and Implementation (Graduate Texts in Physics)

by János A. Bergou Mark Hillery Mark Saffman

This new edition of a well-received textbook provides a concise introduction to both the theoretical and experimental aspects of quantum information at the graduate level. While the previous edition focused on theory, the book now incorporates discussions of experimental platforms. Several chapters on experimental implementations of quantum information protocols have been added: implementations using neutral atoms, trapped ions, optics, and solidstate systems are each presented in its own chapter. Previous chapters on entanglement, quantum measurements, quantum dynamics, quantum cryptography, and quantum algorithms have been thoroughly updated, and new additions include chapters on the stabilizer formalism and the Gottesman-Knill theorem as well as aspects of classical and quantum information theory. To facilitate learning, each chapter starts with a clear motivation to the topic and closes with exercises and a recommended reading list. Quantum Information Processing: Theory and Implementation will be essential to graduate students studying quantum information as well as and researchers in other areas of physics who wish to gain knowledge in the field.

Quantum Information Processing with Finite Resources

by Marco Tomamichel

This book provides the reader with the mathematical framework required to fully explore the potential of small quantum information processing devices. As decoherence will continue to limit their size, it is essential to master the conceptual tools which make such investigations possible. A strong emphasis is given to information measures that are essential for the study of devices of finite size, including Rényi entropies and smooth entropies. The presentation is self-contained and includes rigorous and concise proofs of the most important properties of these measures. The first chapters will introduce the formalism of quantum mechanics, with particular emphasis on norms and metrics for quantum states. This is necessary to explore quantum generalizations of Rényi divergence and conditional entropy, information measures that lie at the core of information theory. The smooth entropy framework is discussed next and provides a natural means to lift many arguments from information theory to the quantum setting. Finally selected applications of the theory to statistics and cryptography are discussed. The book is aimed at graduate students in Physics and Information Theory. Mathematical fluency is necessary, but no prior knowledge of quantum theory is required.

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