Quantum Information Processing and Quantum Error Correction

Quantum Information Processing and Quantum Error Correction

Author: Ivan Djordjevic

Publisher: Academic Press

Published: 2012-04-16

Total Pages: 597

ISBN-13: 0123854911

DOWNLOAD EBOOK

Quantum Information Processing and Quantum Error Correction is a self-contained, tutorial-based introduction to quantum information, quantum computation, and quantum error-correction. Assuming no knowledge of quantum mechanics and written at an intuitive level suitable for the engineer, the book gives all the essential principles needed to design and implement quantum electronic and photonic circuits. Numerous examples from a wide area of application are given to show how the principles can be implemented in practice. This book is ideal for the electronics, photonics and computer engineer who requires an easy- to-understand foundation on the principles of quantum information processing and quantum error correction, together with insight into how to develop quantum electronic and photonic circuits. Readers of this book will be ready for further study in this area, and will be prepared to perform independent research. The reader completed the book will be able design the information processing circuits, stabilizer codes, Calderbank-Shor-Steane (CSS) codes, subsystem codes, topological codes and entanglement-assisted quantum error correction codes; and propose corresponding physical implementation. The reader completed the book will be proficient in quantum fault-tolerant design as well. Unique Features Unique in covering both quantum information processing and quantum error correction - everything in one book that an engineer needs to understand and implement quantum-level circuits. Gives an intuitive understanding by not assuming knowledge of quantum mechanics, thereby avoiding heavy mathematics. In-depth coverage of the design and implementation of quantum information processing and quantum error correction circuits. Provides the right balance among the quantum mechanics, quantum error correction, quantum computing and quantum communication. Dr. Djordjevic is an Assistant Professor in the Department of Electrical and Computer Engineering of College of Engineering, University of Arizona, with a joint appointment in the College of Optical Sciences. Prior to this appointment in August 2006, he was with University of Arizona, Tucson, USA (as a Research Assistant Professor); University of the West of England, Bristol, UK; University of Bristol, Bristol, UK; Tyco Telecommunications, Eatontown, USA; and National Technical University of Athens, Athens, Greece. His current research interests include optical networks, error control coding, constrained coding, coded modulation, turbo equalization, OFDM applications, and quantum error correction. He presently directs the Optical Communications Systems Laboratory (OCSL) within the ECE Department at the University of Arizona. Provides everything an engineer needs in one tutorial-based introduction to understand and implement quantum-level circuits Avoids the heavy use of mathematics by not assuming the previous knowledge of quantum mechanics Provides in-depth coverage of the design and implementation of quantum information processing and quantum error correction circuits


Quantum Computing Since Democritus

Quantum Computing Since Democritus

Author: Scott Aaronson

Publisher: Cambridge University Press

Published: 2013-03-14

Total Pages: 403

ISBN-13: 0521199565

DOWNLOAD EBOOK

Takes students and researchers on a tour through some of the deepest ideas of maths, computer science and physics.


Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Author: Marc Fossorier

Publisher: Springer

Published: 2006-01-13

Total Pages: 348

ISBN-13: 3540314245

DOWNLOAD EBOOK

The 25 revised full papers presented here together with 7 invited papers address subjects such as block codes; algebra and codes: rings, fields, and AG codes; cryptography; sequences; decoding algorithms; and algebra: constructions in algebra, Galois groups, differential algebra, and polynomials.


Modern Coding Theory

Modern Coding Theory

Author: Tom Richardson

Publisher: Cambridge University Press

Published: 2008-03-17

Total Pages: 590

ISBN-13: 9780521852296

DOWNLOAD EBOOK

Having trouble deciding which coding scheme to employ, how to design a new scheme, or how to improve an existing system? This summary of the state-of-the-art in iterative coding makes this decision more straightforward. With emphasis on the underlying theory, techniques to analyse and design practical iterative coding systems are presented. Using Gallager's original ensemble of LDPC codes, the basic concepts are extended for several general codes, including the practically important class of turbo codes. The simplicity of the binary erasure channel is exploited to develop analytical techniques and intuition, which are then applied to general channel models. A chapter on factor graphs helps to unify the important topics of information theory, coding and communication theory. Covering the most recent advances, this text is ideal for graduate students in electrical engineering and computer science, and practitioners. Additional resources, including instructor's solutions and figures, available online: www.cambridge.org/9780521852296.


Handbook of Finite Fields

Handbook of Finite Fields

Author: Gary L. Mullen

Publisher: CRC Press

Published: 2013-06-17

Total Pages: 1048

ISBN-13: 1439873828

DOWNLOAD EBOOK

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and


Quantum Computing

Quantum Computing

Author: National Academies of Sciences, Engineering, and Medicine

Publisher: National Academies Press

Published: 2019-04-27

Total Pages: 273

ISBN-13: 030947969X

DOWNLOAD EBOOK

Quantum mechanics, the subfield of physics that describes the behavior of very small (quantum) particles, provides the basis for a new paradigm of computing. First proposed in the 1980s as a way to improve computational modeling of quantum systems, the field of quantum computing has recently garnered significant attention due to progress in building small-scale devices. However, significant technical advances will be required before a large-scale, practical quantum computer can be achieved. Quantum Computing: Progress and Prospects provides an introduction to the field, including the unique characteristics and constraints of the technology, and assesses the feasibility and implications of creating a functional quantum computer capable of addressing real-world problems. This report considers hardware and software requirements, quantum algorithms, drivers of advances in quantum computing and quantum devices, benchmarks associated with relevant use cases, the time and resources required, and how to assess the probability of success.


Reversible Computation: Extending Horizons of Computing

Reversible Computation: Extending Horizons of Computing

Author: Irek Ulidowski

Publisher: Springer Nature

Published: 2020-05-13

Total Pages: 250

ISBN-13: 3030473619

DOWNLOAD EBOOK

This open access State-of-the-Art Survey presents the main recent scientific outcomes in the area of reversible computation, focusing on those that have emerged during COST Action IC1405 "Reversible Computation - Extending Horizons of Computing", a European research network that operated from May 2015 to April 2019. Reversible computation is a new paradigm that extends the traditional forwards-only mode of computation with the ability to execute in reverse, so that computation can run backwards as easily and naturally as forwards. It aims to deliver novel computing devices and software, and to enhance existing systems by equipping them with reversibility. There are many potential applications of reversible computation, including languages and software tools for reliable and recovery-oriented distributed systems and revolutionary reversible logic gates and circuits, but they can only be realized and have lasting effect if conceptual and firm theoretical foundations are established first.


Advances in Information Recording

Advances in Information Recording

Author: Paul H. Siegel

Publisher: American Mathematical Soc.

Published:

Total Pages: 184

ISBN-13: 9780821871133

DOWNLOAD EBOOK

Modulation coding for a two-dimensional optical storage channel by W. M. J. Coene and A. H. J. Immink Characterization of heat-assisted magnetic recording channels by R. Radhakrishnan, B. Vasic, F. Erden, and C. He Cramer-Rao bound for timing recovery on channels with inter-symbol interference by A. R. Nayak, J. R. Barry, and S. W. McLaughlin Macro-molecular data storage with petabyte/cm$^3$ density, highly parallel read/write operations, and genuine 3D storage capability by M. Mansuripur and P. Khulbe Can we explain the faithful communication of genetic information? by G. Battail Data storage and processing in cells: An information theoretic approach by O. Milenkovic Ghostbusting: Coding for optical communications by N. Kashyap and P. H. Siegel


Resource Efficient LDPC Decoders

Resource Efficient LDPC Decoders

Author: Vikram Arkalgud Chandrasetty

Publisher: Academic Press

Published: 2017-12-05

Total Pages: 192

ISBN-13: 0128112565

DOWNLOAD EBOOK

This book takes a practical hands-on approach to developing low complexity algorithms and transforming them into working hardware. It follows a complete design approach – from algorithms to hardware architectures - and addresses some of the challenges associated with their design, providing insight into implementing innovative architectures based on low complexity algorithms.The reader will learn: - Modern techniques to design, model and analyze low complexity LDPC algorithms as well as their hardware implementation - How to reduce computational complexity and power consumption using computer aided design techniques - All aspects of the design spectrum from algorithms to hardware implementation and performance trade-offs - Provides extensive treatment of LDPC decoding algorithms and hardware implementations - Gives a systematic guidance, giving a basic understanding of LDPC codes and decoding algorithms and providing practical skills in implementing efficient LDPC decoders in hardware - Companion website containing C-Programs and MATLAB models for simulating the algorithms, and Verilog HDL codes for hardware modeling and synthesis