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Author : George F. Viamontes
Publisher :
ISBN 13 :
Total Pages : 468 pages
Book Rating : 4.3/5 (91 download)
Download or read book Efficient Quantum Circuit Simulation written by George F. Viamontes and published by . This book was released on 2006 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stefan Hillmich
Publisher : Springer Nature
ISBN 13 : 303140825X
Total Pages : 101 pages
Book Rating : 4.0/5 (314 download)
Download or read book Efficient Implementation of Quantum Circuit Simulation with Decision Diagrams written by Stefan Hillmich and published by Springer Nature. This book was released on 2023-09-27 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : George F. Viamontes
Publisher : Springer Science & Business Media
ISBN 13 : 9048130654
Total Pages : 193 pages
Book Rating : 4.0/5 (481 download)
Download or read book Quantum Circuit Simulation written by George F. Viamontes and published by Springer Science & Business Media. This book was released on 2009-08-04 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Circuit Simulation covers the fundamentals of linear algebra and introduces basic concepts of quantum physics needed to understand quantum circuits and algorithms. It requires only basic familiarity with algebra, graph algorithms and computer engineering. After introducing necessary background, the authors describe key simulation techniques that have so far been scattered throughout the research literature in physics, computer science, and computer engineering. Quantum Circuit Simulation also illustrates the development of software for quantum simulation by example of the QuIDDPro package, which is freely available and can be used by students of quantum information as a "quantum calculator."
Author : Richard Ellis Rines
Publisher :
ISBN 13 :
Total Pages : 181 pages
Book Rating : 4.:/5 (113 download)
Download or read book Design and Evaluation of High-performance Quantum Circuit Components written by Richard Ellis Rines and published by . This book was released on 2019 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computers promise to extend the domain of the computable, performing calculations thought to be intractable on any classical device. Rapid experimental and technological progress suggests that this promise could soon be realized. However, these first quantum computers will inevitably be both small, faulty, and expensive, demanding implementations of quantum algorithms which are compact, fast, and error-resistant. As the complexity of realizable quantum computers accelerates toward the threshold of quantum supremacy, their capacity to demonstrate a meaningful quantum advantage when applied to real-world tasks depends on the high-performance design, implementation, and analysis of quantum circuits. The first half of the thesis is devoted to Shor's factoring algorithm, seeking to determine the most efficient quantum circuit implementation of a quantum modular multiplier. Three such implementations are introduced which outperform the best known exact reversible modular multiplier circuits for most practical problem sizes. Reformulated in the framework of quantum Fourier transform (QFT) based arithmetic, two of these circuits are further shown to reduce modular multiplication to a constant number of QFT-like circuits, which can then parallelized to a linear-depth circuit with just 2n + O(log n) qubits. Motivated by this deconstruction, the final result in this portion is an algorithm for a 'SIMD QFT' - demonstrating that the parallel QFT can be efficiently implemented on a topologically-limited distributed ion-trap architecture with just a single global shuttling instruction. The second half of this thesis focuses on quantum signal processing (QSP), specifically as applied to quantum Hamiltonian simulation. Hamiltonian simulation promises to be one of the first practical applications for which a near-term device could demonstrate an advantage over all classical systems. We use high-performance classical tools to construct, optimize, and simulate quantum circuits subject to realistic error models in order to empirically determine the maximum tolerable error rate for a meaningful Hamiltonian simulation experiment on a near-term quantum computer. By exploiting symmetry inherent to the QSP circuit, we demonstrate that their capacity for quantum simulation can be increased by at least two orders of magnitude if errors are systematic and unitary. This portion concludes with a thorough description of the classical simulation software used for the this analysis..
Author : Meikang Qiu
Publisher : Springer Nature
ISBN 13 : 3030602397
Total Pages : 732 pages
Book Rating : 4.0/5 (36 download)
Download or read book Algorithms and Architectures for Parallel Processing written by Meikang Qiu and published by Springer Nature. This book was released on 2020-09-29 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-volume set LNCS 12452, 12453, and 12454 constitutes the proceedings of the 20th International Conference on Algorithms and Architectures for Parallel Processing, ICA3PP 2020, in New York City, NY, USA, in October 2020. The total of 142 full papers and 5 short papers included in this proceedings volumes was carefully reviewed and selected from 495 submissions. ICA3PP is covering the many dimensions of parallel algorithms and architectures, encompassing fundamental theoretical approaches, practical experimental projects, and commercial components and systems. As applications of computing systems have permeated in every aspects of daily life, the power of computing system has become increasingly critical. This conference provides a forum for academics and practitioners from countries around the world to exchange ideas for improving the efficiency, performance, reliability, security and interoperability of computing systems and applications. ICA3PP 2020 focus on two broad areas of parallel and distributed computing, i.e. architectures, algorithms and networks, and systems and applications.
Author : Irek Ulidowski
Publisher : Springer Nature
ISBN 13 : 3030473619
Total Pages : 250 pages
Book Rating : 4.0/5 (34 download)
Download or read book Reversible Computation: Extending Horizons of Computing written by Irek Ulidowski and published by Springer Nature. This book was released on 2020-05-13 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Maria Schuld
Publisher : Springer Nature
ISBN 13 : 3030830985
Total Pages : 321 pages
Book Rating : 4.0/5 (38 download)
Download or read book Machine Learning with Quantum Computers written by Maria Schuld and published by Springer Nature. This book was released on 2021-10-17 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction into quantum machine learning research, covering approaches that range from "near-term" to fault-tolerant quantum machine learning algorithms, and from theoretical to practical techniques that help us understand how quantum computers can learn from data. Among the topics discussed are parameterized quantum circuits, hybrid optimization, data encoding, quantum feature maps and kernel methods, quantum learning theory, as well as quantum neural networks. The book aims at an audience of computer scientists and physicists at the graduate level onwards. The second edition extends the material beyond supervised learning and puts a special focus on the developments in near-term quantum machine learning seen over the past few years.
Author : K. G. Beauchamp
Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.3/5 (91 download)
Download or read book Applications of Walsh and Related Functions, with an Introduction to Sequency Theory written by K. G. Beauchamp and published by . This book was released on 1984 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lin Lin
Publisher : SIAM
ISBN 13 : 1611975808
Total Pages : 127 pages
Book Rating : 4.6/5 (119 download)
Download or read book A Mathematical Introduction to Electronic Structure Theory written by Lin Lin and published by SIAM. This book was released on 2019-06-05 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on first principle quantum mechanics, electronic structure theory is widely used in physics, chemistry, materials science, and related fields and has recently received increasing research attention in applied and computational mathematics. This book provides a self-contained, mathematically oriented introduction to the subject and its associated algorithms and analysis. It will help applied mathematics students and researchers with minimal background in physics understand the basics of electronic structure theory and prepare them to conduct research in this area. The book begins with an elementary introduction of quantum mechanics, including the uncertainty principle and the Hartree?Fock theory, which is considered the starting point of modern electronic structure theory. The authors then provide an in-depth discussion of two carefully selected topics that are directly related to several aspects of modern electronic structure calculations: density matrix based algorithms and linear response theory. Chapter 2 introduces the Kohn?Sham density functional theory with a focus on the density matrix based numerical algorithms, and Chapter 3 introduces linear response theory, which provides a unified viewpoint of several important phenomena in physics and numerics. An understanding of these topics will prepare readers for more advanced topics in this field. The book concludes with the random phase approximation to the correlation energy. The book is written for advanced undergraduate and beginning graduate students, specifically those with mathematical backgrounds but without a priori knowledge of quantum mechanics, and can be used for self-study by researchers, instructors, and other scientists. The book can also serve as a starting point to learn about many-body perturbation theory, a topic at the frontier of the study of interacting electrons.
Author : Mihai Udrescu-Milosav
Publisher :
ISBN 13 : 9789736258152
Total Pages : 227 pages
Book Rating : 4.2/5 (581 download)
Download or read book Quantum Circuits Engineering written by Mihai Udrescu-Milosav and published by . This book was released on 2009 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yongshan Ding
Publisher : Springer Nature
ISBN 13 : 303101765X
Total Pages : 203 pages
Book Rating : 4.0/5 (31 download)
Download or read book Quantum Computer Systems written by Yongshan Ding and published by Springer Nature. This book was released on 2022-05-31 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book targets computer scientists and engineers who are familiar with concepts in classical computer systems but are curious to learn the general architecture of quantum computing systems. It gives a concise presentation of this new paradigm of computing from a computer systems' point of view without assuming any background in quantum mechanics. As such, it is divided into two parts. The first part of the book provides a gentle overview on the fundamental principles of the quantum theory and their implications for computing. The second part is devoted to state-of-the-art research in designing practical quantum programs, building a scalable software systems stack, and controlling quantum hardware components. Most chapters end with a summary and an outlook for future directions. This book celebrates the remarkable progress that scientists across disciplines have made in the past decades and reveals what roles computer scientists and engineers can play to enable practical-scale quantum computing.
Author : Fei Yan
Publisher : Springer Nature
ISBN 13 : 9813293314
Total Pages : 177 pages
Book Rating : 4.8/5 (132 download)
Download or read book Quantum Image Processing written by Fei Yan and published by Springer Nature. This book was released on 2020-01-03 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to quantum image processing, which focuses on extending conventional image processing tasks to the quantum computing frameworks. It summarizes the available quantum image representations and their operations, reviews the possible quantum image applications and their implementation, and discusses the open questions and future development trends. It offers a valuable reference resource for graduate students and researchers interested in this emerging interdisciplinary field.
Author : Alexei Yu. Kitaev
Publisher : American Mathematical Soc.
ISBN 13 : 0821832298
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)
Download or read book Classical and Quantum Computation written by Alexei Yu. Kitaev and published by American Mathematical Soc.. This book was released on 2002 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to a rapidly developing topic: the theory of quantum computing. Following the basics of classical theory of computation, the book provides an exposition of quantum computation theory. In concluding sections, related topics, including parallel quantum computation, are discussed.
Author : National Academies of Sciences, Engineering, and Medicine
Publisher : National Academies Press
ISBN 13 : 030947969X
Total Pages : 273 pages
Book Rating : 4.3/5 (94 download)
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.
Author : Matthew Amy
Publisher :
ISBN 13 :
Total Pages : 185 pages
Book Rating : 4.:/5 (19 download)
Download or read book Formal Methods in Quantum Circuit Design written by Matthew Amy and published by . This book was released on 2019 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The design and compilation of correct, efficient quantum circuits is integral to the future operation of quantum computers. This thesis makes contributions to the problems of optimizing and verifying quantum circuits, with an emphasis on the development of formal models for such purposes. We also present software implementations of these methods, which together form a full stack of tools for the design of optimized, formally verified quantum oracles. On the optimization side, we study methods for the optimization of Rz and CNOT gates in Clifford+Rz circuits. We develop a general, efficient optimization algorithm called phase folding, which reduces the number of Rz gates without increasing any metrics by computing its phase polynomial. This algorithm can further be combined with synthesis techniques for CNOT-dihedral operators to optimize circuits with respect to particular costs. We then study the optimal synthesis problem for CNOT-dihedral operators from the perspectives of Rz and CNOT gate optimization. In the case of Rz gate optimization, we show that the optimal synthesis problem is polynomial-time equivalent to minimum-distance decoding in certain Reed-Muller codes. For the CNOT optimization problem, we show that the optimal synthesis problem is at least as hard as a combinatorial problem related to Gray codes. In both cases, we develop heuristics for the optimal synthesis problem, which together with phase folding reduces T counts by 42% and CNOT counts by 22% across a suite of real-world benchmarks. From the perspective of formal verification, we make two contributions. The first is the development of a formal model of quantum circuits with ancillary bits based on the Feynman path integral, along with a concrete verification algorithm. The path integral model, with some syntactic sugar, further doubles as a natural specification language for quantum computations. Our experiments show some practical circuits with up to hundreds of qubits can be efficiently verified. Our second contribution is a formally verified, optimizing compiler for reversible circuits. The compiler compiles a classical, irreversible language to reversible circuits, with a formal, machine-checked proof of correctness written in the proof assistant F*. The compiler is structured as a partial evaluator, allowing verification to be carried out significantly faster than previous results.
Author : Alwin Zulehner
Publisher : Springer Nature
ISBN 13 : 3030417530
Total Pages : 216 pages
Book Rating : 4.0/5 (34 download)
Download or read book Introducing Design Automation for Quantum Computing written by Alwin Zulehner and published by Springer Nature. This book was released on 2020-04-07 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Braumüller, Jochen
Publisher : KIT Scientific Publishing
ISBN 13 : 3731507803
Total Pages : 166 pages
Book Rating : 4.7/5 (315 download)
Download or read book Quantum simulation experiments with superconducting circuits written by Braumüller, Jochen and published by KIT Scientific Publishing. This book was released on 2018-06-14 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the universal quantum computer seems not in reach for the near future, this work focusses on analog quantum simulation of intriguing quantum models of light-matter interactions, with the goal of achieving a computational speed-up as compared to classical hardware. Existing building blocks of quantum hardware are used from superconducting circuits, that have proven to be a very suitable experimental platform for the implementation of model Hamiltonians at a high degree of controllability.
