Download or read book Reversible Logic Synthesis written by Anas N. Al-Rabadi and published by Springer Science & Business Media. This book was released on 2004 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first time in book form, this comprehensive and systematic monograph presents methods for the reversible synthesis of logic functions and circuits. It is illustrated with a wealth of examples and figures that describe in detail the systematic methodologies of synthesis using reversible logic.
Download or read book Reversible Logic Synthesis Methodologies with Application to Quantum Computing written by Saleem Mohammed Ridha Taha and published by Springer. This book was released on 2015-09-24 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book opens the door to a new interesting and ambitious world of reversible and quantum computing research. It presents the state of the art required to travel around that world safely. Top world universities, companies and government institutions are in a race of developing new methodologies, algorithms and circuits on reversible logic, quantum logic, reversible and quantum computing and nano-technologies. In this book, twelve reversible logic synthesis methodologies are presented for the first time in a single literature with some new proposals. Also, the sequential reversible logic circuitries are discussed for the first time in a book. Reversible logic plays an important role in quantum computing. Any progress in the domain of reversible logic can be directly applied to quantum logic. One of the goals of this book is to show the application of reversible logic in quantum computing. A new implementation of wavelet and multiwavelet transforms using quantum computing is performed for this purpose. Researchers in academia or industry and graduate students, who work in logic synthesis, quantum computing, nano-technology, and low power VLSI circuit design, will be interested in this book.
Download or read book Towards a Design Flow for Reversible Logic written by Robert Wille and published by Springer Science & Business Media. This book was released on 2010-07-28 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of computing machines found great success in the last decades. But the ongoing miniaturization of integrated circuits will reach its limits in the near future. Shrinking transistor sizes and power dissipation are the major barriers in the development of smaller and more powerful circuits. Reversible logic p- vides an alternative that may overcome many of these problems in the future. For low-power design, reversible logic offers signi?cant advantages since zero power dissipation will only be possible if computation is reversible. Furthermore, quantum computation pro?ts from enhancements in this area, because every quantum circuit is inherently reversible and thus requires reversible descriptions. However, since reversible logic is subject to certain restrictions (e.g. fanout and feedback are not directly allowed), the design of reversible circuits signi?cantly differs from the design of traditional circuits. Nearly all steps in the design ?ow (like synthesis, veri?cation, or debugging) must be redeveloped so that they become applicable to reversible circuits as well. But research in reversible logic is still at the beginning. No continuous design ?ow exists so far. Inthisbook,contributionstoadesign?owforreversiblelogicarepresented.This includes advanced methods for synthesis, optimization, veri?cation, and debugging.
Download or read book Synthesis Testing and Tolerance in Reversible Logic written by Md Asif Nashiry and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, reversible computing has established itself as a promising research area and emerging technology. This thesis focuses on three important areas of reversible logic, which is an area of reversible computing. Firstly, this thesis proposes a transformation based synthesis approach for realizing conservative reversible functions using SWAP and Fredkin gates. This thesis also proposes ten templates for optimizing SWAP and Fredkin gates-based reversible circuits. Secondly, this thesis proposes an approach for the design of online testable reversible circuits. A reversible circuit composed of NOT, CNOT and Toffoli gates can be made online testable by adding two sets of CNOT gates and a single parity line. Finally, we have proposed an approach to achieve fault tolerance in reversible circuits. A design of a 3-bit reversible majority voter circuit is presented. This voter circuit can be used to design fault tolerant reversible circuits.
Download or read book Reversible Logic Synthesis written by Anas N. Al-Rabadi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first time in book form, this comprehensive and systematic monograph presents methods for the reversible synthesis of logic functions and circuits. It is illustrated with a wealth of examples and figures that describe in detail the systematic methodologies of synthesis using reversible logic.
Download or read book Synthesis of Quantum Circuits vs Synthesis of Classical Reversible Circuits written by Alexis De Vos and published by Springer Nature. This book was released on 2022-05-31 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Synthesis of Reversible Logic written by Md. Mazder Rahman and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Reversible logic plays an important role in quantum computation. Quantum computations are known to have massive parallelism and hence, exponential speed-up is possible in some algorithms. Logic operations in quantum systems are unitary transformations that are reversible. A computing system that is logically reversible can be physically reversible. Therefore, research in reversible logic can lead to the design of powerful computing devices. The synthesis of reversible logic targeted to the construction of quantum circuits is significantly different from non-reversible logic synthesis. The underlying synthesis procedures start from Boolean function specifications, and generate circuits that are realizable with quantum technologies. In general, for a given Boolean function, the design flow employs a series of methods such as embedding the Boolean function into a reversible one, finding a Multiple-Controlled-Toffoli (MCT) realization, minimizing the Toffoli circuit, decomposing the Toffoli circuit into a quantum circuit, and optimizing the quantum circuit. These approaches are mostly heuristics that show significant room for improvement. The aim of this thesis is to improve existing heuristics. One such optimization heuristic is template matching. The current set of templates (rewriting rules) used in template matching is incomplete. Moreover, the exact mapping of gate sequences of a template to gate sequences of a circuit is a complex problem that has not been solved. If minimal circuits are known, then they can be used as comparison for heuristic methods. However, the entangled state - a phenomenon in quantum computation - makes it difficult to develop a synthesis method that gives minimal circuits. Moreover, different technologies have different constraints. For example, Ion Trapped technology requires Linear Nearest Neighbor (LNN) circuits. Heuristics for constructing LNN circuits use SWAP gates that results in a dramatic increase in the number of gates. There are many possibilities for modelling universal quantum gate libraries; however, which library would be the best suited for quantum technologies is an open question. In this thesis, we first present an exhaustive search method that finds minimal circuits of 3 qubits that serve as benchmarks. We give a new definition of template with a set of properties that show that minimal circuits are embedded in templates. Hence, we prove that a complete set of templates has the power of obtaining a minimal circuit from any non-minimal circuit by using template matching. The properties of templates also lead us to the development of algorithms for constructing new templates. A graph-based data structure enables an efficient formulation as well as implementation of matching problems. A set of algorithms for exact template matching is developed. The efficiency of the proposed algorithms is verified by optimizing the standard benchmarks. We analyse different models as well as minimal ways of constructing LNN circuits without the use of SWAP gates. Our proposed heuristic takes less time to obtain reduced LNN circuits than other methods in the literature. We suggest that if a 2-qubit function can be realized by a single 2-qubit quantum gate, then a new gate library can be built. By considering such a gate has unit quantum cost, we find two different gate libraries that lead to significant cost reductions in realizing 3-qubit minimal circuits."--Pages ii-iv.
Download or read book Advanced Logic Synthesis written by André Inácio Reis and published by Springer. This book was released on 2017-11-15 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a single-source reference to the state-of-the-art in logic synthesis. Readers will benefit from the authors’ expert perspectives on new technologies and logic synthesis, new data structures, big data and logic synthesis, and convergent logic synthesis. The authors describe techniques that will enable readers to take advantage of recent advances in big data techniques and frameworks in order to have better logic synthesis algorithms.
Download or read book Design and Testing of Reversible Logic written by Ashutosh Kumar Singh and published by Springer. This book was released on 2019-07-29 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book compiles efficient design and test methodologies for the implementation of reversible logic circuits. The methodologies covered in the book are design approaches, test approaches, fault tolerance in reversible circuits and physical implementation techniques. The book also covers the challenges and the reversible logic circuits to meet these challenges stimulated during each stage of work cycle. The novel computing paradigms are being explored to serve as a basis for fast and low power computation.
Download or read book New Data Structures and Algorithms for Logic Synthesis and Verification written by Luca Gaetano Amaru and published by Springer. This book was released on 2016-08-02 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces new logic primitives for electronic design automation tools. The author approaches fundamental EDA problems from a different, unconventional perspective, in order to demonstrate the key role of rethinking EDA solutions in overcoming technological limitations of present and future technologies. The author discusses techniques that improve the efficiency of logic representation, manipulation and optimization tasks by taking advantage of majority and biconditional logic primitives. Readers will be enabled to accelerate formal methods by studying core properties of logic circuits and developing new frameworks for logic reasoning engines.
Download or read book Novel Methods for Reversible Logic Synthesis and Their Application to Quantum Computing written by Anas N. Al-Rabadi and published by . This book was released on 2002 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reversible Logic Synthesis written by Dmitri Aleksandrovich Maslov and published by . This book was released on 2003 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Synthesis of Reversible Functions Using Various Gate Libraries and Design Specifications written by Nouraddin Alhagi and published by . This book was released on 2010 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation is devoted to efficient automated logic synthesis of reversible circuits using various gate types and initial specifications. These Reversible circuits are of interest to several modern technologies, including Nanotechnology, Quantum computing, Quantum Dot Cellular Automata, Optical computing and low power adiabatic CMOS, but so far the most important practical application of reversible circuits is in quantum computing. Logic synthesis methodologies for reversible circuits are very different than those for classical CMOS or other technologies. The focus of this dissertation is on synthesis of reversible (permutative) binary circuits. It is not related to general unitary circuits that are used in quantum computing and which exhibit quantum mechanical phenomena such as superposition and entanglement. The interest in this dissertation is only in logic synthesis aspects and not in physical (technological) design aspects of reversible circuits. Permutative quantum circuits are important because they include the class of oracles and blocks that are parts of oracles, such as comparators or arithmetic blocks, counters of ones, etc. Every practical quantum algorithm, such as the Grover Algorithm, has many permutative circuits. These circuits are also used in Shor Algorithm (integer factorization), simulation of quantum systems, communication and many other quantum algorithms. Designing permutative circuits is therefore the major engineering task that must be solved to practically realize a quantum algorithm. The dissertation presents the theory that leads to MP (Multi-Path) algorithm, which is currently the top minimizer of reversible circuits with no ancilla bits. Comparison of MP with other 2 leading software tools is done. This software allows to minimize functions of more variables and with smaller quantum cost that other CAD tools. Other software developed in this dissertation allows to synthesize reversible circuits for functions with "don't cares" in their initial specifications. Theory to realize functions from relational representations is also given. Our yet other software tool allows to synthesize reversible circuits for new types of reversible logic, for which no algorithm was ever created, using the so-called "pseudo-reversible" gates called Y-switches.
Download or read book Reversible Logic Synthesis Using a Non blocking Order Search written by Alberto Patino and published by . This book was released on 2010 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reversible logic is an emerging area of research. With the rapid growth of markets such as mobile computing, power dissipation has become an increasing concern for designers (temperature range limitations, generating smaller transistors) as well as customers (battery life, overheating). The main benefit of utilizing reversible logic is that there exists, theoretically, zero power dissipation. The synthesis of circuits is an important part of any design cycle. The circuit used to realize any specification must meet detailed requirements for both layout and manufacturing. Quantum cost is the main metric used in reversible logic. Many algorithms have been proposed thus far which result in both low gate count and quantum cost. In this thesis the AP algorithm is introduced. The goal of the algorithm is to drive quantum cost down by using multiple non-blocking orders, a breadth first search, and a quantum cost reduction transformation. The results shown by the AP algorithm demonstrate that the resulting quantum cost for well-known benchmarks are improved by at least 9% and up to 49%.
Download or read book New Logic Gates and Circuits for Reversible Computer written by Gunajit Kalita and published by Mohd Abdul Hafi. This book was released on 2024-03-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gates and circuits in conventional digital electronics do not facilitate regeneration of the inputs from their outputs and hence they are termed as irreversible. Another issue of concern with the conventional digital electronics is heat dissipation. These challenges in traditional digital electronics can be overcome by using reversible logic. Logical reversibility is also strongly associated with quantum computing. This chapter intro- duces to reversible logic, quantum gate library and some popular reversible gates. It also presents example of reversible circuit. The performance parameters popularly used to analyse reversible logic are discussed and their computations are presented with examples. Finally, a brief introduction to HSPICE simulation tool is included along with the logic synthesis parameters. The Concept of Reversibility The basic building blocks of digital circuit are logic gates. In traditional digital electronics, although the gates can have more than one inputs, they have only one output. For example, the basic OR, AND, NAND or XOR has two inputs and one output.
Download or read book Synthesis and Testing of Reversible Toffoli Circuits written by Noor Muhammed Nayeem and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Synthesis of Linear Reversible Circuits and EXOR AND based Circuits for Incompletely Specified Multi Output Functions written by and published by . This book was released on 2017 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: At this time the synthesis of reversible circuits for quantum computing is an active area of research. In the most restrictive quantum computing models there are no ancilla lines and the quantum cost, or latency, of performing a reversible form of the AND gate, or Toffoli gate, increases exponentially with the number of input variables. In contrast, the quantum cost of performing any combination of reversible EXOR gates, or CNOT gates, on n input variables requires at most O(n2/log2n) gates. It was under these conditions that EXOR-AND-EXOR, or EPOE, synthesis was developed. In this work, the GF(2) logic theory used in EPOE is expanded and the concept of an EXOR-AND product transform is introduced. Because of the generality of this logic theory, it is adapted to EXOR-AND-OR, or SPOE, synthesis. Three heuristic spectral logic synthesis algorithms are introduced, implemented in a program called XAX, and compared with previous work in classical logic circuits of up to 26 inputs. Three linear reversible circuit methods are also introduced and compared with previous work in linear reversible logic circuits of up to 100 inputs.
