Quantum Information Theory PDF Download

Author: Joseph Renes
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110570327
Category : Science
Languages : en
Pages : 328

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Book Description
If the carriers of information are governed by quantum mechanics, new principles for information processing apply. This graduate textbook introduces the underlying mathematical theory for quantum communication, computation, and cryptography. A focus lies on the concept of quantum channels, understanding fi gures of merit, e.g. fidelities and entropies in the quantum world, and understanding the interrelationship of various quantum information processing protocols.

Author: Mou-Hsiung Chang
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110788101
Category : Computers
Languages : en
Pages : 502

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Book Description
This book provides an up-to-date account of current research in quantum information theory, at the intersection of theoretical computer science, quantum physics, and mathematics. The book confronts many unprecedented theoretical challenges generated by infinite dimensionality and memory effects in quantum communication. The book will also equip readers with all the required mathematical tools to understand these essential questions.

Author: Masahito Hayashi
Publisher: Springer
ISBN: 3662435020
Category : Computers
Languages : en
Pages : 332

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Book Description
This book presents the basics of quantum information, e.g., foundation of quantum theory, quantum algorithms, quantum entanglement, quantum entropies, quantum coding, quantum error correction and quantum cryptography. The required knowledge is only elementary calculus and linear algebra. This way the book can be understood by undergraduate students. In order to study quantum information, one usually has to study the foundation of quantum theory. This book describes it from more an operational viewpoint which is suitable for quantum information while traditional textbooks of quantum theory lack this viewpoint. The current book bases on Shor's algorithm, Grover's algorithm, Deutsch-Jozsa's algorithm as basic algorithms. To treat several topics in quantum information, this book covers several kinds of information quantities in quantum systems including von Neumann entropy. The limits of several kinds of quantum information processing are given. As important quantum protocols, this book contains quantum teleportation, quantum dense coding, quantum data compression. In particular conversion theory of entanglement via local operation and classical communication are treated too. This theory provides the quantification of entanglement, which coincides with von Neumann entropy. The next part treats the quantum hypothesis testing. The decision problem of two candidates of the unknown state are given. The asymptotic performance of this problem is characterized by information quantities. Using this result, the optimal performance of classical information transmission via noisy quantum channel is derived. Quantum information transmission via noisy quantum channel by quantum error correction are discussed too. Based on this topic, the secure quantum communication is explained. In particular, the quantification of quantum security which has not been treated in existing book is explained. This book treats quantum cryptography from a more practical viewpoint.

Author: Luigi Accardi
Publisher: World Scientific
ISBN: 9814460605
Category : Science
Languages : en
Pages : 504

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Book Description
The purpose of this proceedings volume is to return to the starting point of bio-informatics and quantum information, fields that are growing rapidly at present, and to seriously attempt mutual interaction between the two, with a view to enumerating and solving the many fundamental problems they entail. For such a purpose, we look for interdisciplinary bridges in mathematics, physics, information and life sciences, in particular, research for new paradigm for information science and life science on the basis of quantum theory. Contents:The QP–DYN Algorithms (L Accardi et al.)New Types of Quantum Entropies and Additive Information Capacities (V P Belavkin)Self-Collapses of Quantum Systems and Brain Activities (K-H Fichtner et al.)The Passage from Digital to Analogue in White Noise Analysis and Applications (T Hida)On Quantum Algorithm for Exptime Problem (S Iriyama & M Ohya)On Sufficient Algebraic Conditions for Identification of Quantum States (A Jamiołkowski)Classical Wave Model of Quantum-Like Processing in Brain (A Khrennikov)Entanglement Mapping vs. Quantum Conditional Probability Operator (D Chruściński et al.)Space(-Time) Emergence as Symmetry Breaking Effect (I Ojima)On the Correspondence between Newtonian and Functional Mechanics (E V Piskovskiy & I V Volovich)Signaling Network of Environmental Sensing and Adaptation in Plants: Key Roles of Calcium Ion (K Kuchitsu & T Kurusu)NetzCope: A Tool for Displaying and Analyzing Complex Networks (M J Barber et al.)and other papers Readership: Researchers in quantum information, quantum physics, bio-informatics and life science. Keywords:Quantum Information;Quantum Probability;Quantum Computer;Bioinformatics;Genes;Adaptive Dynamics;White Noise Analysis;Entanglement;Quantum Entropy;SuperconductivityKey Features:Quantum informationBio-InformaticsGlobal research mixing the Quantum information and Bio-Informatics with various mathematical sciences

Author: Masahito Hayashi
Publisher: Springer
ISBN: 331945241X
Category : Science
Languages : en
Pages : 228

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Book Description
This book is the first one addressing quantum information from the viewpoint of group symmetry. Quantum systems have a group symmetrical structure. This structure enables to handle systematically quantum information processing. However, there is no other textbook focusing on group symmetry for quantum information although there exist many textbooks for group representation. After the mathematical preparation of quantum information, this book discusses quantum entanglement and its quantification by using group symmetry. Group symmetry drastically simplifies the calculation of several entanglement measures although their calculations are usually very difficult to handle. This book treats optimal information processes including quantum state estimation, quantum state cloning, estimation of group action and quantum channel etc. Usually it is very difficult to derive the optimal quantum information processes without asymptotic setting of these topics. However, group symmetry allows to derive these optimal solutions without assuming the asymptotic setting. Next, this book addresses the quantum error correcting code with the symmetric structure of Weyl-Heisenberg groups. This structure leads to understand the quantum error correcting code systematically. Finally, this book focuses on the quantum universal information protocols by using the group SU(d). This topic can be regarded as a quantum version of the Csiszar-Korner's universal coding theory with the type method. The required mathematical knowledge about group representation is summarized in the companion book, Group Representation for Quantum Theory.

Author: M.S. Ramkarthik
Publisher: CRC Press
ISBN: 1000626954
Category : Computers
Languages : en
Pages : 312

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Book Description
This first-of-a-kind textbook provides computational tools in state-of-the-art OOPs Python that are fundamental to quantum information, quantum computing, linear algebra and one-dimensional spin half condensed matter systems. Over 104 subroutines are included, and the codes are aided by mathematical comments to enhance clarity. Suitable for beginner and advanced readers alike, students and researchers will find this textbook to be a helpful guide and a compendium which they can readily use. Features Includes over 104 codes in OOPs Python, all of which can be used either as a standalone program or integrated with any other main program without any issues. Every parameter in the input, output and execution has been provided while keeping both beginner and advanced users in mind. The output of every program is explained thoroughly with detailed examples. Detailed mathematical commenting is done alongside the code which enhances clarity about the flow and working of the code.

Author: Romil Rawat
Publisher: John Wiley & Sons
ISBN: 1394167385
Category : Computers
Languages : en
Pages : 440

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Book Description
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.

Author: Peru?, Mitja
Publisher: IGI Global
ISBN: 1615207864
Category : Medical
Languages : en
Pages : 314

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Book Description
Many-body interactions have been successfully described through models based on classical or quantum physics. More recently, some of the models have been related to cognitive science by researchers who are interested in describing brain activity through the use of artificial neural networks (ANNs). Biological and Quantum Computing for Human Vision: Holonomic Models and Applications presents an integrated model of human image processing up to conscious visual experience, based mainly on the Holonomic Brain Theory by Karl Pribram. This work researches possibilities for complementing neural models of early vision with the new preliminary quantum models of consciousness in order to construct a model of human image processing.

Author: Gregg Jaeger
Publisher: Springer Science & Business Media
ISBN: 0387369449
Category : Science
Languages : en
Pages : 284

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Book Description
This book gives an overview for practitioners and students of quantum physics and information science. It provides ready access to essential information on quantum information processing and communication, such as definitions, protocols and algorithms. Quantum information science is rarely found in clear and concise form. This book brings together this information from its various sources. It allows researchers and students in a range of areas including physics, photonics, solid-state electronics, nuclear magnetic resonance and information technology, in their applied and theoretical branches, to have this vital material directly at hand.

Author: Arunkumar Krishnakumar
Publisher: Packt Publishing Ltd
ISBN: 1838646132
Category : Mathematics
Languages : en
Pages : 335

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Book Description
Fintech veteran and venture capitalist, Arunkumar Krishnakumar, cuts through the hype to bring us a first-hand look into how quantum computing and Blockchain together could redefine industries and life as we know it. Key FeaturesTake a practical perspective on quantum computing and Blockchain technologies and their impacts on key industriesGain insights from experts who are applying quantum computing or Blockchain in their fieldsSee where quantum computing and Blockchain are heading, and where the two may intersectBook Description Are quantum computing and Blockchain on a collision course or will they be the most important trends of this decade to disrupt industries and life as we know it? Fintech veteran and venture capitalist Arunkumar Krishnakumar cuts through the hype to bring us a first-hand look into how quantum computing and Blockchain together are redefining industries, including fintech, healthcare, and research. Through a series of interviews with domain experts, he also explores these technologies’ potential to transform national and global governance and policies – from how elections are conducted and how smart cities can be designed and optimized for the environment, to what cyberwarfare enabled by quantum cryptography might look like. In doing so, he also highlights challenges that these technologies have to overcome to go mainstream. Quantum Computing and Blockchain in Business explores the potential changes that quantum computing and Blockchain might bring about in the real world. After expanding on the key concepts and techniques, such as applied cryptography, qubits, and digital annealing, that underpin quantum computing and Blockchain, the book dives into how major industries will be impacted by these technologies. Lastly, we consider how the two technologies may come together in a complimentary way. What you will learnUnderstand the fundamentals of quantum computing and BlockchainGain insights from the experts who are using quantum computing and BlockchainDiscover the implications of these technologies for governance and healthcareLearn how Blockchain and quantum computing may influence logistics and financeUnderstand how these technologies are impacting research in areas such as chemistryFind out how these technologies may help the environment and influence smart city developmentUnderstand the implications for cybersecurity as these technologies evolveWho this book is for This book is for tech enthusiasts – developers, architects, managers, consultants, and venture capitalists – working in or interested in the latest developments in quantum computing and blockchain. While the book introduces key ideas, terms, and techniques used in these technologies, the main goal of this book is to prime readers for the practical adoption and applications of these technologies across varies industries and walks of life.