Quantum Information

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Masahito Hayashi - One of the best experts on this subject based on the ideXlab platform.

  • Quantum Information Theory - Quantum Information Theory
    Graduate Texts in Physics, 2020
    Co-Authors: Masahito Hayashi
    Abstract:

    This graduate textbook provides a unified view of Quantum Information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both Information-theoretic and Quantum- mechanical viewpoints and provides lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in Quantum communication as Quantum teleportation, superdense coding, Quantum state transmission (Quantum error-correction) and Quantum encryption. Since the publication of the preceding book Quantum Information: An Introduction, there have been tremendous strides in the field of Quantum Information. In particular, the following topics – all of which are addressed here – made seen major advances: Quantum state discrimination, Quantum channel capacity, bipartite and multipartite entanglement, security analysis on Quantum communication, reverse Shannon theorem and uncertainty relation. With regard to the analysis of Quantum security, the present book employs an improved method for the evaluation of leaked Information and identifies a remarkable relation between Quantum security and Quantum coherence. Taken together, these two improvements allow a better analysis of Quantum state transmission. In addition, various types of the newly discovered uncertainty relation are explained. Presenting a wealth of new developments, the book introduces readers to the latest advances and challenges in Quantum Information. To aid in understanding, each chapter is accompanied by a set of exercises and solutions

  • Introduction to Quantum Information Science
    Graduate Texts in Physics, 2020
    Co-Authors: Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi, Gen Kimura, Tomohiro Ogawa
    Abstract:

    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

  • Quantum Information with Gaussian states
    Physics Reports, 2020
    Co-Authors: X Wang, Tohya Hiroshima, Akihisa Tomita, Masahito Hayashi
    Abstract:

    Quantum optical Gaussian states are a type of important robust Quantum states which are manipulatable by the existing technologies. So far, most of the important Quantum Information experiments are done with such states, including bright Gaussian light and weak Gaussian light. Extending the existing results of Quantum Information with discrete Quantum states to the case of continuous variable Quantum states is an interesting theoretical job. The Quantum Gaussian states play a central role in such a case. We review the properties and applications of Gaussian states in Quantum Information with emphasis on the fundamental concepts, the calculation techniques and the effects of imperfections of the real-life experimental setups. Topics here include the elementary properties of Gaussian states and relevant Quantum Information device, entanglement-based Quantum tasks such as Quantum teleportation, Quantum cryptography with weak and strong Gaussian states and the Quantum channel capacity, mathematical theory of Quantum entanglement and state estimation for Gaussian states.Comment: 170 pages. Minors of the published version are corrected and listed in the Acknowledgement part of this versio

  • Invitation to Quantum Information Science
    Introduction to Quantum Information Science, 2014
    Co-Authors: Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi, Kimura, Tomohiro Ogawa
    Abstract:

    Quantum Information science is a future Information science. This chapter explains the significance of Quantum Information science, and the distinction between conventional Information science and Quantum Information science. Then, it describes a future vision of the realization of Quantum Information processing. This chapter ends with the description of the organization of this book.

  • Quantum Information with gaussian states
    Physics Reports, 2007
    Co-Authors: Xiang-bin Wang, Tohya Hiroshima, Akihisa Tomita, Masahito Hayashi
    Abstract:

    Quantum optical Gaussian states are a type of important robust Quantum states which are manipulatable by the existing technologies. So far, most of the important Quantum Information experiments are done with such states, including bright Gaussian light and weak Gaussian light. Extending the existing results of Quantum Information with discrete Quantum states to the case of continuous variable Quantum states is an interesting theoretical job. The Quantum Gaussian states play a central role in such a case. We review the properties and applications of Gaussian states in Quantum Information with emphasis on the fundamental concepts, the calculation techniques and the effects of imperfections of the real-life experimental setups. Topics here include the elementary properties of Gaussian states and relevant Quantum Information device, entanglement-based Quantum tasks such as Quantum teleportation, Quantum cryptography with weak and strong Gaussian states and the Quantum channel capacity, mathematical theory of Quantum entanglement and state estimation for Gaussian states.

Geoffrey J Pryde - One of the best experts on this subject based on the ideXlab platform.

Xiang-bin Wang - One of the best experts on this subject based on the ideXlab platform.

  • Quantum Information with gaussian states
    Physics Reports, 2007
    Co-Authors: Xiang-bin Wang, Tohya Hiroshima, Akihisa Tomita, Masahito Hayashi
    Abstract:

    Quantum optical Gaussian states are a type of important robust Quantum states which are manipulatable by the existing technologies. So far, most of the important Quantum Information experiments are done with such states, including bright Gaussian light and weak Gaussian light. Extending the existing results of Quantum Information with discrete Quantum states to the case of continuous variable Quantum states is an interesting theoretical job. The Quantum Gaussian states play a central role in such a case. We review the properties and applications of Gaussian states in Quantum Information with emphasis on the fundamental concepts, the calculation techniques and the effects of imperfections of the real-life experimental setups. Topics here include the elementary properties of Gaussian states and relevant Quantum Information device, entanglement-based Quantum tasks such as Quantum teleportation, Quantum cryptography with weak and strong Gaussian states and the Quantum channel capacity, mathematical theory of Quantum entanglement and state estimation for Gaussian states.

  • Quantum Information with Gaussian states
    Physics Reports, 2007
    Co-Authors: Xiang-bin Wang, Tohya Hiroshima, Akihisa Tomita, Masahito Hayashi
    Abstract:

    Quantum optical Gaussian states are a type of important robust Quantum states which are manipulatable by the existing technologies. So far, most of the important Quantum Information experiments are done with such states, including bright Gaussian light and weak Gaussian light. Extending the existing results of Quantum Information with discrete Quantum states to the case of continuous variable Quantum states is an interesting theoretical job. The Quantum Gaussian states play a central role in such a case. We review the properties and applications of Gaussian states in Quantum Information with emphasis on the fundamental concepts, the calculation techniques and the effects of imperfections of the real-life experimental setups. Topics here include the elementary properties of Gaussian states and relevant Quantum Information device, entanglement-based Quantum tasks such as Quantum teleportation, Quantum cryptography with weak and strong Gaussian states and the Quantum channel capacity, mathematical theory of Quantum entanglement and state estimation for Gaussian states. ?? 2007 Elsevier B.V. All rights reserved.

Tohya Hiroshima - One of the best experts on this subject based on the ideXlab platform.

  • Quantum Information with Gaussian states
    Physics Reports, 2020
    Co-Authors: X Wang, Tohya Hiroshima, Akihisa Tomita, Masahito Hayashi
    Abstract:

    Quantum optical Gaussian states are a type of important robust Quantum states which are manipulatable by the existing technologies. So far, most of the important Quantum Information experiments are done with such states, including bright Gaussian light and weak Gaussian light. Extending the existing results of Quantum Information with discrete Quantum states to the case of continuous variable Quantum states is an interesting theoretical job. The Quantum Gaussian states play a central role in such a case. We review the properties and applications of Gaussian states in Quantum Information with emphasis on the fundamental concepts, the calculation techniques and the effects of imperfections of the real-life experimental setups. Topics here include the elementary properties of Gaussian states and relevant Quantum Information device, entanglement-based Quantum tasks such as Quantum teleportation, Quantum cryptography with weak and strong Gaussian states and the Quantum channel capacity, mathematical theory of Quantum entanglement and state estimation for Gaussian states.Comment: 170 pages. Minors of the published version are corrected and listed in the Acknowledgement part of this versio

  • Quantum Information with gaussian states
    Physics Reports, 2007
    Co-Authors: Xiang-bin Wang, Tohya Hiroshima, Akihisa Tomita, Masahito Hayashi
    Abstract:

    Quantum optical Gaussian states are a type of important robust Quantum states which are manipulatable by the existing technologies. So far, most of the important Quantum Information experiments are done with such states, including bright Gaussian light and weak Gaussian light. Extending the existing results of Quantum Information with discrete Quantum states to the case of continuous variable Quantum states is an interesting theoretical job. The Quantum Gaussian states play a central role in such a case. We review the properties and applications of Gaussian states in Quantum Information with emphasis on the fundamental concepts, the calculation techniques and the effects of imperfections of the real-life experimental setups. Topics here include the elementary properties of Gaussian states and relevant Quantum Information device, entanglement-based Quantum tasks such as Quantum teleportation, Quantum cryptography with weak and strong Gaussian states and the Quantum channel capacity, mathematical theory of Quantum entanglement and state estimation for Gaussian states.

  • Quantum Information with Gaussian states
    Physics Reports, 2007
    Co-Authors: Xiang-bin Wang, Tohya Hiroshima, Akihisa Tomita, Masahito Hayashi
    Abstract:

    Quantum optical Gaussian states are a type of important robust Quantum states which are manipulatable by the existing technologies. So far, most of the important Quantum Information experiments are done with such states, including bright Gaussian light and weak Gaussian light. Extending the existing results of Quantum Information with discrete Quantum states to the case of continuous variable Quantum states is an interesting theoretical job. The Quantum Gaussian states play a central role in such a case. We review the properties and applications of Gaussian states in Quantum Information with emphasis on the fundamental concepts, the calculation techniques and the effects of imperfections of the real-life experimental setups. Topics here include the elementary properties of Gaussian states and relevant Quantum Information device, entanglement-based Quantum tasks such as Quantum teleportation, Quantum cryptography with weak and strong Gaussian states and the Quantum channel capacity, mathematical theory of Quantum entanglement and state estimation for Gaussian states. ?? 2007 Elsevier B.V. All rights reserved.

Akihisa Tomita - One of the best experts on this subject based on the ideXlab platform.

  • Quantum Information with Gaussian states
    Physics Reports, 2020
    Co-Authors: X Wang, Tohya Hiroshima, Akihisa Tomita, Masahito Hayashi
    Abstract:

    Quantum optical Gaussian states are a type of important robust Quantum states which are manipulatable by the existing technologies. So far, most of the important Quantum Information experiments are done with such states, including bright Gaussian light and weak Gaussian light. Extending the existing results of Quantum Information with discrete Quantum states to the case of continuous variable Quantum states is an interesting theoretical job. The Quantum Gaussian states play a central role in such a case. We review the properties and applications of Gaussian states in Quantum Information with emphasis on the fundamental concepts, the calculation techniques and the effects of imperfections of the real-life experimental setups. Topics here include the elementary properties of Gaussian states and relevant Quantum Information device, entanglement-based Quantum tasks such as Quantum teleportation, Quantum cryptography with weak and strong Gaussian states and the Quantum channel capacity, mathematical theory of Quantum entanglement and state estimation for Gaussian states.Comment: 170 pages. Minors of the published version are corrected and listed in the Acknowledgement part of this versio

  • Quantum Information with gaussian states
    Physics Reports, 2007
    Co-Authors: Xiang-bin Wang, Tohya Hiroshima, Akihisa Tomita, Masahito Hayashi
    Abstract:

    Quantum optical Gaussian states are a type of important robust Quantum states which are manipulatable by the existing technologies. So far, most of the important Quantum Information experiments are done with such states, including bright Gaussian light and weak Gaussian light. Extending the existing results of Quantum Information with discrete Quantum states to the case of continuous variable Quantum states is an interesting theoretical job. The Quantum Gaussian states play a central role in such a case. We review the properties and applications of Gaussian states in Quantum Information with emphasis on the fundamental concepts, the calculation techniques and the effects of imperfections of the real-life experimental setups. Topics here include the elementary properties of Gaussian states and relevant Quantum Information device, entanglement-based Quantum tasks such as Quantum teleportation, Quantum cryptography with weak and strong Gaussian states and the Quantum channel capacity, mathematical theory of Quantum entanglement and state estimation for Gaussian states.

  • Quantum Information with Gaussian states
    Physics Reports, 2007
    Co-Authors: Xiang-bin Wang, Tohya Hiroshima, Akihisa Tomita, Masahito Hayashi
    Abstract:

    Quantum optical Gaussian states are a type of important robust Quantum states which are manipulatable by the existing technologies. So far, most of the important Quantum Information experiments are done with such states, including bright Gaussian light and weak Gaussian light. Extending the existing results of Quantum Information with discrete Quantum states to the case of continuous variable Quantum states is an interesting theoretical job. The Quantum Gaussian states play a central role in such a case. We review the properties and applications of Gaussian states in Quantum Information with emphasis on the fundamental concepts, the calculation techniques and the effects of imperfections of the real-life experimental setups. Topics here include the elementary properties of Gaussian states and relevant Quantum Information device, entanglement-based Quantum tasks such as Quantum teleportation, Quantum cryptography with weak and strong Gaussian states and the Quantum channel capacity, mathematical theory of Quantum entanglement and state estimation for Gaussian states. ?? 2007 Elsevier B.V. All rights reserved.