Download or read book Improved QUBO Formulations for D Wave Quantum Computing written by Alexander Fowler and published by . This book was released on 2017 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Computing is one of the most exciting and potentially societychanging elds in contemporary science and engineering research. While the potential power of quantum computers has been known since 1981, scepticism in their long-term practical capabilities has been rife due to limited success in physically building scalable quantum computers. Recent breakthroughs have increased hope however; chief among these was the development of a series of quantum computers by D-Wave Systems | a Canadian specialist quantum computing company. To solve a problem on a D-Wave device, it must be formulated in QUBO or Ising model form. The key determinants of a formulation's e cacy are the number of variables it uses, and its density. The smaller these are the better. In this thesis, we signi cantly improve the QUBO formulations for ve NPhard graph problems in this regard. For four of these problems featuring a graph with jV j vertices, O(jV j2)-variable and O(jV j3)-density formulations are given in place of preceding formulations which at-best used O(jV j3) variables and O(jV j4) density. We improve one other problem's formulation so it uses O(jV j3) variables and O(jV j5) density; its previous-best used O(jV j3 log(jV j)2)) variables and O(jV j6 log(jV j)4) density.
Download or read book D Wave Experimental Results for an Improved QUBO Formulation of the Broadcast Time Problem written by Yan Kolezhitskiy and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Quantum computing has been a popular phenomena in Computer Science over the past few decades. More specifically in recent years, the D-Wave, a commercially available quantum computer, has been receiving significant attention due to the fact that it can take in as input non-trivial NP hard problems and produce results of varying accuracy. The broadcast problem is a popular optimization problem of graph theory, it asks if there is an efficient way to spread a message across a network in a given time frame. The main purpose of our efforts is two-fold; To evaluate the capacity of the D-Wave quantum computer to tackle this type of problem. Also to evaluate the current QUBO formulation (a specific presentation of the problem which the D-Wave can solve) of the broadcast problem and compare to a previous formulation. We present here the results as generated by the D-Wave on the current best-known QUBO formulation. We also compare them to the previous results, concluding that indeed the current QUBO formulation of the broadcast problem is more efficient."--Page 2.
Download or read book Adiabatic Quantum Computing with QUBO Formulations written by Richard Hua and published by . This book was released on 2016 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study two types of problems in this thesis, graph covering problems including the Dominating Set and Edge Cover which are classic combinatorial problems and the Graph Isomorphism Problem with several of its variations. For each of the problems, we provide efficient quadratic unconstrained binary optimization (QUBO) formulations suitable for adiabatic quantum computers, which are viewed as a real-world enhanced model of simulated annealing. The number of qubits (dimension of QUBO matrices) required to solve the graph covering problems are O(n + n lg n) and O(m + n lg n) respectively, where n is the number of vertices and m is the number of edges. We also extend our formulations for the Minimum Vertex- Weighted Dominating Set problem and Minimum Edge-Weighted Edge Cover problem. For the Graph Isomorphism Problem, we provide two QUBO formulation through two approaches both requiring O(n2) variables. We also provide several different formulations for two extensions of the Graph Isomorphism Problems each requiring a different number of variables ranging from O(n1n2) to O((n1 + 1)n2). We also provide some experimental results using a D-Wave 2X quantum computer with 1098 active qubit-coupled processors on the problems studied here for a selection of known common graphs.
Download or read book Improved QUBO Formulation of the Graph Isomorphism Problem written by Richard Hua and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solving Optimization Problems Using Adiabatic Quantum Computing written by Kai Liu and published by . This book was released on 2018 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: The commercial D-Waves quantum annealer has given rise to plenty of interests due to the reported quantum speedup against classical annealing. In order to make use of this new technology, a problem must be formulated into a form of quadratic unconstrained binary optimization (QUBO) or Ising model. This thesis reports on case studies using a D-Wave quantum annealer to solve several optimization problems and providing results validation using classical exact approaches. In our thesis, we briefly introduce several classical techniques designed for QUBO problems and implement two exact approaches. With the proper tools, a D-Wave 2X computer consisted of 1098 active qubits is then evaluated for the Degree-Constrained Minimum Spanning Tree and the Steiner Tree problems, establishing their QUBO formulations are suitable for adiabatic quantum computers. Motivated by the remarkable performance, two more optimization problems are studied—the Bounded-Depth Steiner Tree problem and the Chromatic Sum problem. We propose a new formulation for each problem. The numbers of qubits (dimension of QUBO matrices) required by our formulations are O(|V|3) and O(|V|2) respectively, where |V| represents the number of vertices.
Download or read book Formulating Mixed Dominating Set Problems for Adiabatic Quantum Computers written by M. J. Dinneen and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "In this paper, we present efficient quadratic unconstrained binary optimization(QUBO) formulations for the mixed dominating set and the weighted mixed dominating set problems, which are both NP-hard. By using a D-Wave 2X quantum computerwith 1098 active qubits, the QUBO formulation of the unweighted mixed dominatingset is tested on several small graphs. In every test graph, 30K samples were takenon the D-Wave computer in two different execution modes (with and without postprocessing optimization). The experimental results achieved optimal answers in themajority of the cases. The correctness of the formulations are proven, establishingempirical evidence that our formulation and their implementations are correct. Keywords: Adiabatic quantum computing; Quadratic Unconstrained Binary Optimization; Ising/QUBO formulation; Mixed dominating set; Weighted mixed dominating set"--Page 1.
Download or read book Quantum Spin Glasses Annealing and Computation written by Shu Tanaka and published by Cambridge University Press. This book was released on 2017-05-04 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum annealing is a new-generation tool of information technology, which helps in solving combinatorial optimization problems with high precision, based on the concepts of quantum statistical physics. Detailed discussion on quantum spin glasses and its application in solving combinatorial optimization problems is required for better understanding of quantum annealing concepts. Fulfilling this requirement, the book highlights recent development in quantum spin glasses including Nishimori line, replica method and quantum annealing methods along with the essential principles. Separate chapters on simulated annealing, quantum dynamics and classical spin models are provided for enhanced learning. Important topics including adiabatic quantum computers and quenching dynamics are discussed in detail. This text will be useful for students of quantum computation, quantum information, statistical physics and computer science.
Download or read book Experience with Quantum Annealing Computation written by Catherine McGeoch and published by Frontiers Media SA. This book was released on 2024-09-18 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has seen four generations of quantum annealing processors, with qubit counts increasing from 512 on the D-Wave Two (released in 2013), to over 5000 on Advantage processors available in 2023. During this time, expanding access for researchers has sparked enormous growth in publications and in the body of knowledge surrounding capabilities, applications, and best practices in use of these novel computing systems. This Research Topic will invite submissions on all aspects of empirical experience with annealing-based quantum computers. The intention is to present a broad survey of the current state of knowledge about quantum annealing hardware, performance, software infrastructures, and applications.
Download or read book Convergence Artificial Intelligence and Quantum Computing written by Greg Viggiano and published by John Wiley & Sons. This book was released on 2022-11-03 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prepare for the coming convergence of AI and quantum computing A collection of essays from 20 renowned, international authors working in industry, academia, and government, Convergence: Artificial Intelligence and Quantum Computing explains the impending convergence of artificial intelligence and quantum computing. A diversity of viewpoints is presented, each offering their view of this coming watershed event. In the book, you’ll discover that we’re on the cusp of seeing the stuff of science fiction become reality, with huge implications for ripping up the existing social fabric, global economy, and current geopolitical order. Along with an incisive foreword by Hugo- and Nebula-award winning author David Brin, you’ll also find: Explorations of the increasing pace of technological development Explanations of why seemingly unusual and surprising breakthroughs might be just around the corner Maps to navigate the potential minefields that await us as AI and quantum computing come together A fascinating and thought-provoking compilation of insights from some of the leading technological voices in the world, Convergence convincingly argues that we should prepare for a world in which very little will remain the same and shows us how to get ready.
Download or read book Quantum Technology and Optimization Problems written by Sebastian Feld and published by Springer. This book was released on 2019-03-13 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First International Workshop on Quantum Technology and Optimization Problems, QTOP 2019, held in Munich, Germany, in March 2019.The 18 full papers presented together with 1 keynote paper in this volume were carefully reviewed and selected from 21 submissions. The papers are grouped in the following topical sections: analysis of optimization problems; quantum gate algorithms; applications of quantum annealing; and foundations and quantum technologies.
Download or read book QUBO Formulations for the Graph Isomorphism Problem and Related Problems written by Cristian Calude and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "We present and compare various methods to construct efficient QUBO formulations for the Graph Isomorphism Problem—one of a very few problems in NP that is neither known to be solvable in polynomial time nor NP-complete—and two related Subgraph Isomorphism Problems that are NP-hard. Experimental results on two QUBO formulations of the Graph Isomorphism Problem suggest that our direct formulation is more practical than the others with respect to running on the D-Wave architecture.Keywords: Adiabatic quantum computing, Quadratic Unconstrained Binary Optimization, Chimera graph, Graph Isomorphism Problem, Subgraph Isomorphism Problem."--Page 1.
Download or read book Quantum Computing written by Himanshu Thapliyal and published by Springer Nature. This book was released on 2023-11-24 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with the current state-of-the-art research and technology on quantum computing. The authors provide design paradigms of quantum computing. Topics covered include multi-programming mechanisms on near-term quantum computing, Lagrange interpolation approach for the general parameter-shift rule, architecture-aware decomposition of quantum circuits, software for massively parallel quantum computing, machine learning in quantum annealing processors, quantum annealing for real-world machine learning applications, queuing theory models for (Fault-Tolerant) quantum circuits, machine learning for quantum circuit reliability assessment, and side-channel leakage in Suzuki stack circuits.
Download or read book Adiabatic Quantum Computation and Quantum Annealing written by Catherine C. McGeoch and published by Springer Nature. This book was released on 2022-06-01 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adiabatic quantum computation (AQC) is an alternative to the better-known gate model of quantum computation. The two models are polynomially equivalent, but otherwise quite dissimilar: one property that distinguishes AQC from the gate model is its analog nature. Quantum annealing (QA) describes a type of heuristic search algorithm that can be implemented to run in the ``native instruction set'' of an AQC platform. D-Wave Systems Inc. manufactures {quantum annealing processor chips} that exploit quantum properties to realize QA computations in hardware. The chips form the centerpiece of a novel computing platform designed to solve NP-hard optimization problems. Starting with a 16-qubit prototype announced in 2007, the company has launched and sold increasingly larger models: the 128-qubit D-Wave One system was announced in 2010 and the 512-qubit D-Wave Two system arrived on the scene in 2013. A 1,000-qubit model is expected to be available in 2014. This monograph presents an introductory overview of this unusual and rapidly developing approach to computation. We start with a survey of basic principles of quantum computation and what is known about the AQC model and the QA algorithm paradigm. Next we review the D-Wave technology stack and discuss some challenges to building and using quantum computing systems at a commercial scale. The last chapter reviews some experimental efforts to understand the properties and capabilities of these unusual platforms. The discussion throughout is aimed at an audience of computer scientists with little background in quantum computation or in physics. Table of Contents: Acknowledgments / Introduction / Adiabatic Quantum Computation / Quantum Annealing / The D-Wave Platform / Computational Experience / Bibliography / Author's Biography
Download or read book Quantum Computing Experimentation with Amazon Braket written by Alex Khan and published by Packt Publishing Ltd. This book was released on 2022-07-29 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Augment your quantum computing journey using Amazon Braket with in-depth details of how to use Braket devices, build quantum circuits, leverage quantum annealing and solve optimization problems Key Features Learn about various quantum devices and their use in solving combinatorial optimization problems Prepare your business to leverage the benefits of the future quantum speedup Implement quantum computing concepts through real-world optimization use cases Book DescriptionAmazon Braket is a cloud-based pay-per-use platform for executing quantum algorithms on cutting-edge quantum computers and simulators. It is ideal for developing robust apps with the latest quantum devices. With this book, you'll take a hands-on approach to learning how to take real-world problems and run them on quantum devices. You'll begin with an introduction to the Amazon Braket platform and learn about the devices currently available on the platform, their benefits, and their purpose. Then, you'll review key quantum concepts and algorithms critical to converting real-world problems into a quantum circuit or binary quadratic model based on the appropriate device and its capability. The book also covers various optimization use cases, along with an explanation of the code. Finally, you'll work with a framework using code examples that will help to solve your use cases with quantum and quantum-inspired technologies. Later chapters cover custom-built functions and include almost 200 figures and diagrams to visualize key concepts. You’ll be able to scan the capabilities provided by Amazon Braket and explore the functions to adapt them for specific use cases. By the end of this book, you’ll have the tools to integrate your current business apps and AWS data with Amazon Braket to solve constrained and multi-objective optimization problems.What you will learn Explore the features and uses of the Amazon Braket console and components Discover the benefits of quantum computing devices available on Amazon Braket, including gate quantum computers, the annealer, and simulators Recognize which type of quantum device is the best fit for specific use cases and scaling Develop your own code from a basic set of use cases dealing with real-world optimization problems Understand the capabilities and limitations of current quantum computing technologies Explore the advanced features and API functions in Amazon Braket Who this book is for This book is for IT practitioners, architects, and developers looking to bring the power of quantum computing to their organizations. If you are a VP of IT, CIO, VP of architecture, chief architect, solution architect, actuarial fellow, or a developer already working on other AWS services such as AWS Lambda and EC2, you'll find this book useful in exploring how to leverage Amazon Braket for real-world use cases and to move your organization towards this emerging technology. Familiarity with the basics of quantum computing and Python is required.
Download or read book Innovations for Community Services written by Frank Phillipson and published by Springer Nature. This book was released on with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Computing written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2019-04-27 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fundamentals and Applications of AI An Interdisciplinary Perspective written by Víctor M. Eguíluz and published by Frontiers Media SA. This book was released on 2021-03-03 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
