The Road To Quantum Computational Supremacy

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The Road To Quantum Computational Supremacy

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Author : Cristian Calude
language : en
Publisher:
Release Date : 2018

The Road To Quantum Computational Supremacy written by Cristian Calude and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.

"We present an idiosyncratic view of the race for quantum computational supremacy. Google’s approach and IBM challenge are examined. An unexpected side-effect of the race is the significant progress in designing fast classical algorithms. Quantum supremacy, if achieved, won’t make classical computing obsolete."--Page 1.

Introduction To Quantum Algorithms Via Linear Algebra Second Edition

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Author : Richard J. Lipton
language : en
Publisher: MIT Press
Release Date : 2021-04-06

Introduction To Quantum Algorithms Via Linear Algebra Second Edition written by Richard J. Lipton and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-06 with Science categories.

Quantum computing explained in terms of elementary linear algebra, emphasizing computation and algorithms and requiring no background in physics. This introduction to quantum algorithms is concise but comprehensive, covering many key algorithms. It is mathematically rigorous but requires minimal background and assumes no knowledge of quantum theory or quantum mechanics. The book explains quantum computation in terms of elementary linear algebra; it assumes the reader will have some familiarity with vectors, matrices, and their basic properties, but offers a review of the relevant material from linear algebra. By emphasizing computation and algorithms rather than physics, it makes quantum algorithms accessible to students and researchers in computer science who have not taken courses in quantum physics or delved into fine details of quantum effects, apparatus, circuits, or theory.

Quantum Computing

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Author : Brian Clegg
language : en
Publisher: Icon Books
Release Date : 2021-05-06

Quantum Computing written by Brian Clegg and has been published by Icon Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-06 with Science categories.

The ultimate non-technical guide to the fast-developing world of quantum computing Computer technology has improved exponentially over the last 50 years. But the headroom for bigger and better electronic solutions is running out. Our best hope is to engage the power of quantum physics. 'Quantum algorithms' had already been written long before hardware was built. These would enable, for example, a quantum computer to exponentially speed up an information search, or to crack the mathematical trick behind internet security. However, making a quantum computer is incredibly difficult. Despite hundreds of laboratories around the world working on them, we are only just seeing them come close to 'supremacy' where they can outperform a traditional computer. In this approachable introduction, Brian Clegg explains algorithms and their quantum counterparts, explores the physical building blocks and quantum weirdness necessary to make a quantum computer, and uncovers the capabilities of the current generation of machines.

Quantum Computing

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Author : National Academies of Sciences, Engineering, and Medicine
language : en
Publisher: National Academies Press
Release Date : 2019-03-27

Quantum Computing written by National Academies of Sciences, Engineering, and Medicine and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-27 with Computers categories.

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.

On Near Term Quantum Computation

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Author : John Christopher Napp
language : en
Publisher:
Release Date : 2021

On Near Term Quantum Computation written by John Christopher Napp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.

In recent years, programmable quantum devices have reached sizes and complexities which put them outside the regime of simulation on modern supercomputers. However, since their computational power is not well understood, it's not obvious what to do with them! Of course, there are several ideas, and this thesis contributes to the theory underpinning some of these ideas. It has two parts, corresponding to two of the most natural directions to pursue in searching for applications of near-term quantum computers. The first part is concerned with obtaining a deeper understanding of heuristic, hybrid quantum-classical algorithms which are potentially implementable on near-term devices and are aimed at attaining quantum speedups for practical problems, but lack a strong theoretical foundation and provable guarantees on their performance. More precisely, we obtain new theoretical results on the convergence rates of variational quantum algorithms, and prove that certain optimization strategies in such algorithms can, in some settings, lead to substantially better performance than the originally proposed, simpler, and potentially easier-to-implement approach. The second part is concerned with better understanding the capabilities of near-term quantum computers for demonstrating evidence of quantum computational supremacy in the complexity-theoretic sense of violating the Extended Church-Turing Thesis: a superpolynomial quantum speedup for a well-defined computational problem, possibly of no practical use, over all classical algorithms. More precisely, we study the computational complexity of classically simulating random 2D quantum circuits. While the classical hardness of simulating random circuits forms the basis of one of the leading quantum supremacy proposals, we challenge some of the intuition and evidence underlying this belief by developing new classical simulation algorithms which are efficient (polynomial-time) for 2D random circuits of sufficiently low constant depth; interestingly, these algorithms appear to experience computational phase transitions into an inefficient, exponential-time regime when the depth or local Hilbert space dimension surpasses some critical value.

Explorations In Quantum Computing

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Author : Colin P. Williams
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-07

Explorations In Quantum Computing written by Colin P. Williams and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-07 with Computers categories.

By the year 2020, the basic memory components of a computer will be the size of individual atoms. At such scales, the current theory of computation will become invalid. "Quantum computing" is reinventing the foundations of computer science and information theory in a way that is consistent with quantum physics - the most accurate model of reality currently known. Remarkably, this theory predicts that quantum computers can perform certain tasks breathtakingly faster than classical computers – and, better yet, can accomplish mind-boggling feats such as teleporting information, breaking supposedly "unbreakable" codes, generating true random numbers, and communicating with messages that betray the presence of eavesdropping. This widely anticipated second edition of Explorations in Quantum Computing explains these burgeoning developments in simple terms, and describes the key technological hurdles that must be overcome to make quantum computers a reality. This easy-to-read, time-tested, and comprehensive textbook provides a fresh perspective on the capabilities of quantum computers, and supplies readers with the tools necessary to make their own foray into this exciting field. Topics and features: concludes each chapter with exercises and a summary of the material covered; provides an introduction to the basic mathematical formalism of quantum computing, and the quantum effects that can be harnessed for non-classical computation; discusses the concepts of quantum gates, entangling power, quantum circuits, quantum Fourier, wavelet, and cosine transforms, and quantum universality, computability, and complexity; examines the potential applications of quantum computers in areas such as search, code-breaking, solving NP-Complete problems, quantum simulation, quantum chemistry, and mathematics; investigates the uses of quantum information, including quantum teleportation, superdense coding, quantum data compression, quantum cloning, quantum negation, and quantum cryptography; reviews the advancements made towards practical quantum computers, covering developments in quantum error correction and avoidance, and alternative models of quantum computation. This text/reference is ideal for anyone wishing to learn more about this incredible, perhaps "ultimate," computer revolution. Dr. Colin P. Williams is Program Manager for Advanced Computing Paradigms at the NASA Jet Propulsion Laboratory, California Institute of Technology, and CEO of Xtreme Energetics, Inc. an advanced solar energy company. Dr. Williams has taught quantum computing and quantum information theory as an acting Associate Professor of Computer Science at Stanford University. He has spent over a decade inspiring and leading high technology teams and building business relationships with and Silicon Valley companies. Today his interests include terrestrial and Space-based power generation, quantum computing, cognitive computing, computational material design, visualization, artificial intelligence, evolutionary computing, and remote olfaction. He was formerly a Research Scientist at Xerox PARC and a Research Assistant to Prof. Stephen W. Hawking, Cambridge University.

From Analysis To Visualization

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Author : David H. Bailey
language : en
Publisher: Springer Nature
Release Date : 2020-03-16

From Analysis To Visualization written by David H. Bailey and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-16 with Mathematics categories.

Students and researchers from all fields of mathematics are invited to read and treasure this special Proceedings. A conference was held 25 –29 September 2017 at Noah’s On the Beach, Newcastle, Australia, to commemorate the life and work of Jonathan M. Borwein, a mathematician extraordinaire whose untimely passing in August 2016 was a sorry loss to mathematics and to so many members of its community, a loss that continues to be keenly felt. A polymath, Jonathan Borwein ranks among the most wide ranging and influential mathematicians of the last 50 years, making significant contributions to an exceptional diversity of areas and substantially expanding the use of the computer as a tool of the research mathematician. The contributions in this commemorative volume probe Dr. Borwein's ongoing legacy in areas where he did some of his most outstanding work: Applied Analysis, Optimization and Convex Functions; Mathematics Education; Financial Mathematics; plus Number Theory, Special Functions and Pi, all tinged by the double prisms of Experimental Mathematics and Visualization, methodologies he championed.

Introduce To Quantum Computing And Quantum Computer

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Author : Han-Xiong Lian
language : en
Publisher:
Release Date : 2021-06-29

Introduce To Quantum Computing And Quantum Computer written by Han-Xiong Lian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-29 with Computers categories.

Recently (2020,06), according to the Financial Times, Google researcher Stephen Foley claimed "Big moment! Google claims to have researced quantum supremacy, taking 3 mins to do a calculation classical computer would take 10,000 years to do". After 10 years or more, the commercial quantum computers will come to the era of information explosion that we are now in. And the power of quantum computer is far greater than our imagination. Quantum computers use qubits 0> and 1> to process information, where, 1> represent up-spin electron, and 0> represents the down spin electron. Meanwhile, the up-spin electrons and the down-spin electrons are interdependent, forming a quantum entangled state or quantum superposition state. Therefore, the superposition state of quantum can be expressed as (a1> + b0>) = (00>+01>+10>+11>). That is, two qubits has 4 states, which is 2^n times larger than the traditional number of bits ("0" and "1"), where n is the number of contained electrons. This means that the computing speed of quantum computers are 2^n times faster than traditional computers. Not only this, the "0" and "1" codes of traditional computers are processed along one time axis, and quantum computers can be calculated using Shor's parallel algorithm, that is, each quantum in a quantum computer has an independent time axis, n quanta can be processed in parallel on their own time axis. In other words, for n quanta, there will be n time axes processing at the same time. In this way, quantum computers are much faster than traditional computers. In other words, the information that quantum computers can process is much larger than that of traditional computers.

A Shortcut Through Time

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Author : George Johnson
language : en
Publisher: Vintage
Release Date : 2007-12-18

A Shortcut Through Time written by George Johnson and has been published by Vintage this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-18 with Science categories.

In this remarkably illustrative and thoroughly accessible look at one of the most intriguing frontiers in science and computers, award-winning New York Times writer George Johnson reveals the fascinating world of quantum computing—the holy grail of super computers where the computing power of single atoms is harnassed to create machines capable of almost unimaginable calculations in the blink of an eye. As computer chips continue to shrink in size, scientists anticipate the end of the road: A computer in which each switch is comprised of a single atom. Such a device would operate under a different set of physical laws: The laws of quantum mechanics. Johnson gently leads the curious outsider through the surprisingly simple ideas needed to understand this dream, discussing the current state of the revolution, and ultimately assessing the awesome power these machines could have to change our world.

Quantum Machine Learning And Optimisation In Finance

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Author : Antoine Jacquier
language : en
Publisher: Packt Publishing Ltd
Release Date : 2022-10-31

Quantum Machine Learning And Optimisation In Finance written by Antoine Jacquier and has been published by Packt Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-31 with Mathematics categories.

Learn the principles of quantum machine learning and how to apply them While focus is on financial use cases, all the methods and techniques are transferable to other fields Purchase of Print or Kindle includes a free eBook in PDF Key Features Discover how to solve optimisation problems on quantum computers that can provide a speedup edge over classical methods Use methods of analogue and digital quantum computing to build powerful generative models Create the latest algorithms that work on Noisy Intermediate-Scale Quantum (NISQ) computers Book Description With recent advances in quantum computing technology, we finally reached the era of Noisy Intermediate-Scale Quantum (NISQ) computing. NISQ-era quantum computers are powerful enough to test quantum computing algorithms and solve hard real-world problems faster than classical hardware. Speedup is so important in financial applications, ranging from analysing huge amounts of customer data to high frequency trading. This is where quantum computing can give you the edge. Quantum Machine Learning and Optimisation in Finance shows you how to create hybrid quantum-classical machine learning and optimisation models that can harness the power of NISQ hardware. This book will take you through the real-world productive applications of quantum computing. The book explores the main quantum computing algorithms implementable on existing NISQ devices and highlights a range of financial applications that can benefit from this new quantum computing paradigm. This book will help you be one of the first in the finance industry to use quantum machine learning models to solve classically hard real-world problems. We may have moved past the point of quantum computing supremacy, but our quest for establishing quantum computing advantage has just begun! What you will learn Train parameterised quantum circuits as generative models that excel on NISQ hardware Solve hard optimisation problems Apply quantum boosting to financial applications Learn how the variational quantum eigensolver and the quantum approximate optimisation algorithms work Analyse the latest algorithms from quantum kernels to quantum semidefinite programming Apply quantum neural networks to credit approvals Who this book is for This book is for Quants and developers, data scientists, researchers, and students in quantitative finance. Although the focus is on financial use cases, all the methods and techniques are transferable to other areas.