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Quantum Circuit Simulation

Quantum Circuit Simulation PDF Author: George F. Viamontes
Publisher: Springer Science & Business Media
ISBN: 9048130654
Category : Technology & Engineering
Languages : en
Pages : 193

Book Description
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."

Quantum Circuit Simulation

Quantum Circuit Simulation PDF Author: George F. Viamontes
Publisher: Springer Science & Business Media
ISBN: 9048130654
Category : Technology & Engineering
Languages : en
Pages : 193

Book Description
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."

Efficient Quantum Circuit Simulation

Efficient Quantum Circuit Simulation PDF Author: George F. Viamontes
Publisher:
ISBN:
Category :
Languages : en
Pages : 468

Book Description


Efficient Implementation of Quantum Circuit Simulation with Decision Diagrams

Efficient Implementation of Quantum Circuit Simulation with Decision Diagrams PDF Author: Stefan Hillmich
Publisher: Springer Nature
ISBN: 303140825X
Category : Technology & Engineering
Languages : en
Pages : 101

Book Description
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.

Reversible Computation: Extending Horizons of Computing

Reversible Computation: Extending Horizons of Computing PDF Author: Irek Ulidowski
Publisher: Springer Nature
ISBN: 3030473619
Category : Computers
Languages : en
Pages : 250

Book Description
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.

Algorithms and Architectures for Parallel Processing

Algorithms and Architectures for Parallel Processing PDF Author: Meikang Qiu
Publisher: Springer Nature
ISBN: 3030602397
Category : Mathematics
Languages : en
Pages : 732

Book Description
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.

Applications of Walsh and Related Functions, with an Introduction to Sequency Theory

Applications of Walsh and Related Functions, with an Introduction to Sequency Theory PDF Author: K. G. Beauchamp
Publisher:
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 332

Book Description


A Mathematical Introduction to Electronic Structure Theory

A Mathematical Introduction to Electronic Structure Theory PDF Author: Lin Lin
Publisher: SIAM
ISBN: 1611975808
Category : Mathematics
Languages : en
Pages : 138

Book Description
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.

Classical and Quantum Computation

Classical and Quantum Computation PDF Author: Alexei Yu. Kitaev
Publisher: American Mathematical Soc.
ISBN: 0821832298
Category : Computers
Languages : en
Pages : 274

Book Description
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.

Quantum Image Processing

Quantum Image Processing PDF Author: Fei Yan
Publisher: Springer Nature
ISBN: 9813293314
Category : Computers
Languages : en
Pages : 177

Book Description
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.

Quantum Computing

Quantum Computing PDF Author: National Academies of Sciences, Engineering, and Medicine
Publisher: National Academies Press
ISBN: 030947969X
Category : Computers
Languages : en
Pages : 273

Book Description
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.