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At first sight, quantum computing is completely different from classical computing. Nevertheless, a link is provided by reversible computation. Whereas an arbitrary quantum circuit, acting on ?? qubits, is described by an ?? × ?? unitary matrix with ??=2??, a reversible classical circuit, acting on ?? bits, is described by a 2?? × 2?? permutation matrix. The permutation matrices are studied in group theory of finite groups (in particular the symmetric group ????); the unitary matrices are discussed in group theory of continuous groups (a.k.a. Lie groups, in particular the unitary group U(??)). Both the synthesis of a reversible logic circuit and the synthesis of a quantum logic circuit take advantage of the decomposition of a matrix: the former of a permutation matrix, the latter of a unitary matrix. In both cases the decomposition is into three matrices. In both cases the decomposition is not unique.
This book constitutes the refereed proceedings of the 15th International Workshop on Power and Timing Optimization and Simulation, PATMOS 2005, held in Leuven, Belgium in September 2005. The 74 revised full papers presented were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on low-power processors, code optimization for low-power, high-level design, telecommunications and signal processing, low-power circuits, system-on-chip design, busses and interconnections, modeling, design automation, low-power techniques, memory and register files, applications, digital circuits, and analog and physical design.
Master the subjects of reversible computing and DNA computing with this expert volume Reversible and DNA Computing offers readers new ideas and technologies in the rapidly developing field of reversible computing. World-renowned researcher and author Hafiz Md. Hasan Babu shows readers the fundamental concepts and ideas necessary to understand reversible computing, including reversible circuits, reversible fault tolerant circuits, and reversible DNA circuits. Reversible and DNA Computing contains a practical approach to understanding energy-efficient DNA computing. In addition to explaining the foundations of reversible circuits, the book covers topics including: Advanced logic design An introduction to the fundamentals of reversible computing Advanced reversible logic synthesis Reversible fault tolerance Fundamentals of DNA computing Reversible DNA logic synthesis DNA logic design This book is perfect for undergraduate and graduate students in the physical sciences and engineering, as well as those working in the field of quantum computing. It belongs on the bookshelves of anyone with even a passing interest in nanotechnology, energy-efficient computing, and DNA computing.
The Transactions on Computational Science journal is part of the Springer series Lecture Notes in Computer Science, and is devoted to the gamut of computational science issues, from theoretical aspects to application-dependent studies and the va- dation of emerging technologies. The current issue is devoted to computer systems research and the application of such research, which naturally complement each other. The issue is comprised of Part 1: Computational Visualization and Optimization, and Part 2: Computational Methods for Model Design and Analysis. Part 1 – Computational Visualization and Optimization – is devoted to state-of-the-art research carried out in this area with the use of...
Cryptology is the practice of hiding digital information by means of various obfuscatory and steganographic techniques. The application of said techniques facilitates message confidentiality and sender/receiver identity authentication, and helps to ensure the integrity and security of computer passwords, ATM card information, digital signatures, DVD and HDDVD content, and electronic commerce. Cryptography is also central to digital rights management (DRM), a group of techniques for technologically controlling the use of copyrighted material that is being widely implemented and deployed at the behest of corporations that own and create revenue from the hundreds of thousands of mini-transactio...
Few books comprehensively cover the software and programming aspects of reversible computing. Filling this gap, Introduction to Reversible Computing offers an expanded view of the field that includes the traditional energy-motivated hardware viewpoint as well as the emerging application-motivated software approach. Collecting scattered knowledge into one coherent account, the book provides a compendium of both classical and recently developed results on reversible computing. It explores up-and-coming theories, techniques, and tools for the application of reversible computing—the logical next step in the evolution of computing systems. The book covers theory, hardware and software aspects, ...
Written by one of the few top internationally recognized experts in the field, this book concentrates on those topics that will remain fundamental, such as low power computing, reversible programming languages, and applications in thermodynamics. It describes reversible computing from various points of view: Boolean algebra, group theory, logic circuits, low-power electronics, communication, software, quantum computing. It is this multidisciplinary approach that makes it unique. Backed by numerous examples, this is useful for all levels of the scientific and academic community, from undergraduates to established academics.
Unconventional computing is a field of advanced computer science, which general goal might be summarised as the quest for both new groundbreaking algorithms and physical implementations of novel and ultimately more powerful - compared to classical approaches - computing paradigms and machines. This volume brings together work that especially focuses on experimental prototypes and genuine implementations of non-classical computing devices. A further goal was to revisit existing approaches in unconventional computing, to provide scientists and engineers with blue-prints of realisable computing devices, and to take a critical glance at the design of novel and emergent computing systems to point out failures and shortcomings of both theoretical and experimental approaches.
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