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Author: Tsuyoshi Takagi
Publisher: Springer Nature
ISBN: 981155191X
Category : Technology & Engineering
Languages : en
Pages : 275
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Book Description
This open access book presents selected papers from International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC), which was held on September 25-27, 2019 in Fukuoka, Japan. The international symposium MQC addresses the mathematics and quantum theory underlying secure modeling of the post quantum cryptography including e.g. mathematical study of the light-matter interaction models as well as quantum computing. The security of the most widely used RSA cryptosystem is based on the difficulty of factoring large integers. However, in 1994 Shor proposed a quantum polynomial time algorithm for factoring integers, and the RSA cryptosystem is no longer secure in the quantum computing model. This vulnerability has prompted research into post-quantum cryptography using alternative mathematical problems that are secure in the era of quantum computers. In this regard, the National Institute of Standards and Technology (NIST) began to standardize post-quantum cryptography in 2016. This book is suitable for postgraduate students in mathematics and computer science, as well as for experts in industry working on post-quantum cryptography.
Author: Tsuyoshi Takagi
Publisher: Springer Nature
ISBN: 981155191X
Category : Technology & Engineering
Languages : en
Pages : 275
Get Book Here
Book Description
This open access book presents selected papers from International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC), which was held on September 25-27, 2019 in Fukuoka, Japan. The international symposium MQC addresses the mathematics and quantum theory underlying secure modeling of the post quantum cryptography including e.g. mathematical study of the light-matter interaction models as well as quantum computing. The security of the most widely used RSA cryptosystem is based on the difficulty of factoring large integers. However, in 1994 Shor proposed a quantum polynomial time algorithm for factoring integers, and the RSA cryptosystem is no longer secure in the quantum computing model. This vulnerability has prompted research into post-quantum cryptography using alternative mathematical problems that are secure in the era of quantum computers. In this regard, the National Institute of Standards and Technology (NIST) began to standardize post-quantum cryptography in 2016. This book is suitable for postgraduate students in mathematics and computer science, as well as for experts in industry working on post-quantum cryptography.
Author: Tsuyoshi Takagi
Publisher: Springer
ISBN: 9811050651
Category : Computers
Languages : en
Pages : 363
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Book Description
This book presents the mathematical background underlying security modeling in the context of next-generation cryptography. By introducing new mathematical results in order to strengthen information security, while simultaneously presenting fresh insights and developing the respective areas of mathematics, it is the first-ever book to focus on areas that have not yet been fully exploited for cryptographic applications such as representation theory and mathematical physics, among others. Recent advances in cryptanalysis, brought about in particular by quantum computation and physical attacks on cryptographic devices, such as side-channel analysis or power analysis, have revealed the growing security risks for state-of-the-art cryptographic schemes. To address these risks, high-performance, next-generation cryptosystems must be studied, which requires the further development of the mathematical background of modern cryptography. More specifically, in order to avoid the security risks posed by adversaries with advanced attack capabilities, cryptosystems must be upgraded, which in turn relies on a wide range of mathematical theories. This book is suitable for use in an advanced graduate course in mathematical cryptography, while also offering a valuable reference guide for experts.
Author: Sihare, Shyam R.
Publisher: IGI Global
ISBN: 1799895246
Category : Computers
Languages : en
Pages : 386
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Book Description
In recent decades, computing has undergone rapid evolutions and groundbreaking developments that affect almost every sector across the world. The developments of quantum computing and quantum cryptography are similarly revolutionizing computing and security with lasting impacts and implications. Quantum computing and quantum cryptography will pave the path for new opportunities for the future of computing. Quantum Computing and Cryptography in Future Computers discusses quantum computing and quantum cryptography principles and their impact on future computers. It includes coverage of the role of quantum computing to overcome the issues of current security methods. It also discusses the application of quantum computing in various areas like security, blockchain, and more. Covering topics such as attack detection, machine learning, and quantum key distribution, this premier reference source is an ideal resource for developers, engineers, practitioners, security experts, students and educators of higher education, librarians, researchers, and academicians.
Author: Ilsun You
Publisher: Springer Nature
ISBN: 9819744652
Category :
Languages : en
Pages : 306
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Book Description
Author: Takaya Matsuura
Publisher: Springer Nature
ISBN: 9811982880
Category : Science
Languages : en
Pages : 172
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Book Description
The book provides theoretical methods of connecting discrete-variable quantum information processing to continuous-variable one. It covers the two major fields of quantum information processing, quantum communication and quantum computation, leading to achievement of a long-sought full security of continuous-variable quantum key distribution (QKD) and proposal of a resource-efficient method for optical quantum computing. Firstly, the book provides a security of continuous-variable QKD against arbitrary attacks under a realistic condition such as finite communication rounds and the use of digitized information processing. The book also provides the unified view for conventionally used approximate Gottesman-Kitaev-Preskill (GKP) codes, which encodes qudits on a continuous-variable system, enabling direct comparison between researches based on different approximations. The book finally proposes a resource-efficient method to realize the universal optical quantum computation using the GKP code via the direct preparation of the GKP magic state instead of GKP Pauli states. Feasibility of the proposed protocol is discussed based on the existing experimental proposals for the GKP state preparation.
Author: Ngoc Thanh Nguyen
Publisher: Springer Nature
ISBN: 3031708199
Category :
Languages : en
Pages : 415
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Book Description
Author: Colin Boyd
Publisher: Springer Science & Business Media
ISBN: 9783540606932
Category : Business & Economics
Languages : en
Pages : 308
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Book Description
This monograph provides a formal and systematic exposition of the main results on the existence and optimality of equilibria in economies with increasing returns to scale. For that, a general equilibrium model is carefully constructed first by means of a precise formalization of consumers and firms, and the proof of an abstract existence result. The analysis shifts then to the study of specific normative and positive models which are particularizations the general one, and to the study of the efficiency of equilibrium allocations. The book provides an unified approach of the topic, it maintains a relatively low mathematical complexity and offers a highly self-contained exposition.
Author: Tsuyoshi Takagi
Publisher: Springer
ISBN: 9784431550150
Category : Computers
Languages : en
Pages : 300
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Book Description
This book offers an introduction to post-quantum cryptography for students, engineers and researchers in the field of information security. Above all, it describes the mathematical concepts underlying the security of post-quantum cryptographic schemes. The first part of the book provides essential background information by briefly introducing the core elements of quantum computation and presenting Shor’s algorithm, which solves the factoring problem and the discrete logarithm problem in polynomial time. In turn, the second part presents a number of candidates for post-quantum public-key encryption and digital signature schemes. The security of these schemes is based on mathematical problems in coding theory, multivariate quadratic equations, and lattices, respectively. The book provides an essential guide for students, researchers and engineers, helping them to quickly grasp this highly promising area of cryptography.
Author: Debasis Giri
Publisher: Springer Nature
ISBN: 9811668906
Category : Technology & Engineering
Languages : en
Pages : 1109
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Book Description
This book features selected papers from the 7th International Conference on Mathematics and Computing (ICMC 2021), organized by Indian Institute of Engineering Science and Technology (IIEST), Shibpur, India, during March 2021. It covers recent advances in the field of mathematics, statistics, and scientific computing. The book presents innovative work by leading academics, researchers, and experts from industry.
Author: Omer Reingold
Publisher: Springer
ISBN: 3642004571
Category : Computers
Languages : en
Pages : 626
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Book Description
TCC 2009, the 6th Theory of Cryptography Conference, was held in San Fr- cisco, CA, USA, March 15–17, 2009. TCC 2009 was sponsored by the Inter- tional Association for Cryptologic Research (IACR) and was organized in - operation with the Applied Crypto Group at Stanford University. The General Chair of the conference was Dan Boneh. The conference received 109 submissions, of which the Program Comm- tee selected 33 for presentation at the conference. These proceedings consist of revised versions of those 33 papers. The revisions were not reviewed, and the authors bear full responsibility for the contents of their papers. The conference program also included two invited talks: “The Di?erential Privacy Frontier,” given by Cynthia Dwork and “Some Recent Progress in Lattice-Based Crypt- raphy,” given by Chris Peikert. I thank the Steering Committee of TCC for entrusting me with the resp- sibility for the TCC 2009 program. I thank the authors of submitted papers for their contributions. The general impression of the Program Committee is that the submissions were of very high quality, and there were many more papers we wanted to accept than we could. The review process was therefore very - warding but the selection was very delicate and challenging. I am grateful for the dedication, thoroughness,and expertise ofthe ProgramCommittee. Obse- ing the way the members of the committee operated makes me as con?dent as possible of the outcome of our selection process.
