Compact Representations For The Design Of Quantum Logic

Author : Philipp Niemann,Robert Wille
Publisher : Springer
Page : 125 pages
File Size : 55,8 Mb
Release : 2017-08-21
Category : Computers
ISBN : 9783319637242

Get Book

Compact Representations for the Design of Quantum Logic by Philipp Niemann,Robert Wille Pdf

This book discusses modern approaches and challenges of computer-aided design (CAD) of quantum circuits with a view to providing compact representations of quantum functionality. Focusing on the issue of quantum functionality, it presents Quantum Multiple-Valued Decision Diagrams (QMDDs – a means of compactly and efficiently representing and manipulating quantum logic. For future quantum computers, going well beyond the size of present-day prototypes, the manual design of quantum circuits that realize a given (quantum) functionality on these devices is no longer an option. In order to keep up with the technological advances, methods need to be provided which, similar to the design and synthesis of conventional circuits, automatically generate a circuit description of the desired functionality. To this end, an efficient representation of the desired quantum functionality is of the essence. While straightforward representations are restricted due to their (exponentially) large matrix descriptions and other decision diagram-like structures for quantum logic suffer from not comprehensively supporting typical characteristics, QMDDs employ a decomposition scheme that more naturally models quantum systems. As a result, QMDDs explicitly support quantum-mechanical effects like phase shifts and are able to take more advantage of corresponding redundancies, thereby allowing a very compact representation of relevant quantum functionality composed of dozens of qubits. This provides the basis for the development of sophisticated design methods as shown for quantum circuit synthesis and verification.

Author : Alwin Zulehner,Robert Wille
Publisher : Springer Nature
Page : 216 pages
File Size : 47,8 Mb
Release : 2020-04-07
Category : Technology & Engineering
ISBN : 9783030417536

Get Book

Introducing Design Automation for Quantum Computing by Alwin Zulehner,Robert Wille Pdf

This book offers readers an easy introduction into quantum computing as well as into the design for corresponding devices. The authors cover several design tasks which are important for quantum computing and introduce corresponding solutions. A special feature of the book is that those tasks and solutions are explicitly discussed from a design automation perspective, i.e., utilizing clever algorithms and data structures which have been developed by the design automation community for conventional logic (i.e., for electronic devices and systems) and are now applied for this new technology. By this, relevant design tasks can be conducted in a much more efficient fashion than before – leading to improvements of several orders of magnitude (with respect to runtime and other design objectives). Describes the current state of the art for designing quantum circuits, for simulating them, and for mapping them to real hardware; Provides a first comprehensive introduction into design automation for quantum computing that tackles practically relevant tasks; Targets the quantum computing community as well as the design automation community, showing both perspectives to quantum computing, and what impressive improvements are possible when combining the knowledge of both communities.

Author : Mohamed M. Sabry Aly,Anupam Chattopadhyay
Publisher : Springer Nature
Page : 446 pages
File Size : 55,6 Mb
Release : 2022-07-11
Category : Technology & Engineering
ISBN : 9789811674877

Get Book

Emerging Computing: From Devices to Systems by Mohamed M. Sabry Aly,Anupam Chattopadhyay Pdf

The book covers a range of topics dealing with emerging computing technologies which are being developed in response to challenges faced due to scaling CMOS technologies. It provides a sneak peek into the capabilities unleashed by these technologies across the complete system stack, with contributions by experts discussing device technology, circuit, architecture and design automation flows. Presenting a gradual progression of the individual sub-domains and the open research and adoption challenges, this book will be of interest to industry and academic researchers, technocrats and policymakers. Chapters "Innovative Memory Architectures Using Functionality Enhanced Devices" and "Intelligent Edge Biomedical Sensors in the Internet of Things (IoT) Era" are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Author : Anas N. Al-Rabadi
Publisher : Springer Science & Business Media
Page : 427 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642188534

Get Book

Reversible Logic Synthesis by Anas N. Al-Rabadi Pdf

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.

Author : Iain Phillips,Hafizur Rahaman
Publisher : Springer
Page : 255 pages
File Size : 47,6 Mb
Release : 2017-06-26
Category : Computers
ISBN : 9783319599366

Get Book

Reversible Computation by Iain Phillips,Hafizur Rahaman Pdf

This book constitutes the refereed proceedings of the 9th International Conference on Reversible Computation, RC 2017, held in Kolkata, India, in July 2017. The 13 full and 5 short papers included in this volume together with one invited paper were carefully reviewed and selected from 47 submissions. The papers are organized in the following topical sections: foundations; reversible circuit synthesis; reversible circuit optimization; testing and fault tolerance; and quantum circuits.

Author : Sarah C. Kaiser,Christopher Granade
Publisher : Simon and Schuster
Page : 382 pages
File Size : 54,9 Mb
Release : 2021-06-22
Category : Computers
ISBN : 9781617296130

Get Book

Learn Quantum Computing with Python and Q# by Sarah C. Kaiser,Christopher Granade Pdf

"For software developers. No prior experience with quantum computing required"--Back cover.

Author : Marieke Huisman,Corina Păsăreanu,Naijun Zhan
Publisher : Springer Nature
Page : 801 pages
File Size : 47,7 Mb
Release : 2021-11-10
Category : Computers
ISBN : 9783030908706

Get Book

Formal Methods by Marieke Huisman,Corina Păsăreanu,Naijun Zhan Pdf

This book constitutes the refereed proceedings of the 24th Symposium on Formal Methods, FM 2021, held virtually in November 2021. The 43 full papers presented together with 4 invited presentations were carefully reviewed and selected from 131 submissions. The papers are organized in topical sections named: Invited Presentations. - Interactive Theorem Proving, Neural Networks & Active Learning, Logics & Theory, Program Verification I, Hybrid Systems, Program Verification II, Automata, Analysis of Complex Systems, Probabilities, Industry Track Invited Papers, Industry Track, Divide et Impera: Efficient Synthesis of Cyber-Physical System.

Author : Bernd Steinbach
Publisher : Unknown
Page : 288 pages
File Size : 51,6 Mb
Release : 2002
Category : Algebra, Boolean
ISBN : UOM:39015058276836

Get Book

Boolean Problems by Bernd Steinbach Pdf

Author : Stefan Hillmich,Robert Wille
Publisher : Springer Nature
Page : 101 pages
File Size : 46,5 Mb
Release : 2023-09-27
Category : Technology & Engineering
ISBN : 9783031408250

Get Book

Efficient Implementation of Quantum Circuit Simulation with Decision Diagrams by Stefan Hillmich,Robert Wille Pdf

This book provides an easy-to-read introduction into quantum computing as well as classical simulation of quantum circuits. The authors showcase the enormous potential that can be unleashed when doing these simulations using decision diagrams—a data structure common in the design automation community but hardly used in quantum computing yet. In fact, the covered algorithms and methods are able to outperform previously proposed solutions on certain use cases and, hence, provide a complementary solution to established approaches. The award-winning methods are implemented and available as open-source under free licenses and can be easily integrated into existing frameworks such as IBM’s Qiskit or Atos’ QLM.

Author : Rasit O. Topaloglu
Publisher : Springer Nature
Page : 171 pages
File Size : 51,9 Mb
Release : 2022-12-09
Category : Technology & Engineering
ISBN : 9783031156991

Get Book

Design Automation of Quantum Computers by Rasit O. Topaloglu Pdf

This book provides readers with a comprehensive, state-of-the-art reference to the design automation aspects of quantum computers. Given roadmaps calling for quantum computers with 2000 qubits in a few years, readers will benefit from the practical implementation aspects covered in this book. The authors discuss real hardware to the extent possible. Provides an up-to-date, single-source reference to design automation aspects of quantum computers; Presentation is not just theoretical, but substantiated with real quantum hardware; Covers multi-faceted aspects of quantum computers, providing readers with valuable information, no matter the direction in which technology moves.

Author : D. Michael Miller,Mitchell A. Thornton
Publisher : Springer Nature
Page : 135 pages
File Size : 43,7 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031797798

Get Book

Multiple-Valued Logic by D. Michael Miller,Mitchell A. Thornton Pdf

Multiple Valued Logic: Concepts and Representations begins with a survey of the use ofmultiple-valued logic in several modern application areas including electronic design automation algorithms and circuit design. The mathematical basis and concepts of various algebras and systems of multiple valued logic are provided including comparisons among various systems and examples of their application. The book also provides an examination of alternative representations of multiple-valued logic suitable for implementation as data structures in automated computer applications. Decision diagram structures for multiple valued applications are described in detail with particular emphasis on the recently developed quantum multiple valued decision diagram. Table of Contents: Multiple Valued Logic Applications / MVL Concepts and Algebra / Functional Representations / Reversible andQuantum Circuits / Quantum Multiple-Valued Decision Diagrams / Summary / Bibliography

Author : Vijay Nath,J.K. Mandal
Publisher : Springer Nature
Page : 817 pages
File Size : 54,7 Mb
Release : 2020-11-17
Category : Technology & Engineering
ISBN : 9789811574863

Get Book

Nanoelectronics, Circuits and Communication Systems by Vijay Nath,J.K. Mandal Pdf

This book features selected papers presented at the Fifth International Conference on Nanoelectronics, Circuits and Communication Systems (NCCS 2019). It covers a range of topics, including nanoelectronic devices, microelectronics devices, material science, machine learning, Internet of things, cloud computing, computing systems, wireless communication systems, advances in communication 5G and beyond. Further, it discusses VLSI circuits and systems, MEMS, IC design and testing, electronic system design and manufacturing, speech signal processing, digital signal processing, FPGA-based wireless communication systems and FPGA-based system design, Industry 4.0, e-farming, semiconductor memories, and IC fault detection and correction.

Author : Tzvetan S. Metodi,Frederic T. Chong
Publisher : Springer Nature
Page : 147 pages
File Size : 48,9 Mb
Release : 2007-12-31
Category : Technology & Engineering
ISBN : 9783031017186

Get Book

Quantum Computing for Computer Architects by Tzvetan S. Metodi,Frederic T. Chong Pdf

Quantum computation may seem to be a topic for science fiction, but small quantum computers have existed for several years and larger machines are on the drawing table. These efforts have been fueled by a tantalizing property: while conventional computers employ a binary representation that allows computational power to scale linearly with resources at best, quantum computations employ quantum phenomena that can interact to allow computational power that is exponential in the number of "quantum bits" in the system. Quantum devices rely on the ability to control and manipulate binary data stored in the phase information of quantum wave functions that describe the electronic states of individual atoms or the polarization states of photons. While existing quantum technologies are in their infancy, we shall see that it is not too early to consider scalability and reliability. In fact, such considerations are a critical link in the development chain of viable device technologies capable of orchestrating reliable control of tens of millions quantum bits in a large-scale system. The goal of this lecture is to provide architectural abstractions common to potential technologies and explore the systemslevel challenges in achieving scalable, fault-tolerant quantum computation. The central premise of the lecture is directed at quantum computation (QC) architectural issues. We stress the fact that the basic tenet of large-scale quantum computing is reliability through system balance: the need to protect and control the quantum information just long enough for the algorithm to complete execution. To architectQCsystems, onemust understand what it takes to design and model a balanced, fault-tolerant quantum architecture just as the concept of balance drives conventional architectural design. For example, the register file depth in classical computers is matched to the number of functional units, the memory bandwidth to the cache miss rate, or the interconnect bandwidth matched to the compute power of each element of a multiprocessor. We provide an engineering-oriented introduction to quantum computation and provide an architectural case study based upon experimental data and future projection for ion-trap technology.We apply the concept of balance to the design of a quantum computer, creating an architecture model that balances both quantum and classical resources in terms of exploitable parallelism in quantum applications. From this framework, we also discuss the many open issues remaining in designing systems to perform quantum computation.

Author : Claudio Antares Mezzina,Krzysztof Podlaski
Publisher : Springer Nature
Page : 245 pages
File Size : 40,5 Mb
Release : 2022-06-28
Category : Computers
ISBN : 9783031090059

Get Book

Reversible Computation by Claudio Antares Mezzina,Krzysztof Podlaski Pdf

This book constitutes the refereed proceedings of the 14th International Conference on Reversible Computation, RC 2022, which was held in Urbino, Italy, during July 5-6, 2021. The 10 full papers and 6 short papers included in this book were carefully reviewed and selected from 20 submissions. They were organized in topical sections named: Reversible and Quantum Circuits; Applications of quantum Computing; Foundations and Applications.

Author : Kurt Engesser,Dov M. Gabbay,Daniel Lehmann
Publisher : Elsevier
Page : 726 pages
File Size : 40,7 Mb
Release : 2009-06-16
Category : Mathematics
ISBN : 0080931669

Get Book

Handbook of Quantum Logic and Quantum Structures by Kurt Engesser,Dov M. Gabbay,Daniel Lehmann Pdf

Quantum mechanics is said to be the most successful physical theory ever. It is, in fact, unique in its success when applied to concrete physical problems. On the other hand, however, it raises profound conceptual problems that are equally unprecedented. Quantum logic, the topic of this volume, can be described as an attempt to cast light on the puzzle of quantum mechanics from the point of view of logic. Since its inception in the famous 1936 paper by Birkhoff and von Neumann entitled, “The logic of quantum mechanics, quantum logic has undergone an enormous development. Various schools of thought and approaches have emerged, and there are a variety of technical results. The chapters of this volume constitute a comprehensive presentation of the main schools, approaches and results in the field of quantum logic. • Authored by eminent scholars in the field • Material presented is of recent origin representing the frontier of the subject. • Provides the most comprehensive and varied discussion of Quantum Mechanics available.