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

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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

Get Book Here

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 Simulation

Quantum Simulation PDF Author: Chad Orzel
Publisher: Institute of Physics Publishing
ISBN: 9780750315166
Category : SCIENCE
Languages : en
Pages : 22

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Book Description
One of the most active areas in atomic, molecular and optical physics is the use of ultracold atomic gases in optical lattices to simulate the behaviour of electrons in condensed matter systems. The larger mass, longer length scale, and tuneable interactions in these systems allow the dynamics of atoms moving in these systems to be followed in real time, and resonant light scattering by the atoms allows this motion to be probed on a microscopic scale using site-resolved imaging. This book reviews the physics of Hubbard-type models for both bosons and fermions in an optical lattice, which give rise to a rich variety of insulating and conducting phases depending on the lattice properties and interparticle interactions. It also discusses the effect of disorder on the transport of atoms in these models, and the recently discovered phenomenon of many-body localization. It presents several examples of experiments using both density and momentum imaging and quantum gas microscopy to study the motion of atoms in optical lattices. These illustrate the power and flexibility of ultracold-lattice analogues for exploring exotic states of matter at an unprecedented level of precision.

Quantum Simulations with Photons and Polaritons

Quantum Simulations with Photons and Polaritons PDF Author: Dimitris G. Angelakis
Publisher: Springer
ISBN: 3319520253
Category : Science
Languages : en
Pages : 220

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Book Description
This book reviews progress towards quantum simulators based on photonic and hybrid light-matter systems, covering theoretical proposals and recent experimental work. Quantum simulators are specially designed quantum computers. Their main aim is to simulate and understand complex and inaccessible quantum many-body phenomena found or predicted in condensed matter physics, materials science and exotic quantum field theories. Applications will include the engineering of smart materials, robust optical or electronic circuits, deciphering quantum chemistry and even the design of drugs. Technological developments in the fields of interfacing light and matter, especially in many-body quantum optics, have motivated recent proposals for quantum simulators based on strongly correlated photons and polaritons generated in hybrid light-matter systems. The latter have complementary strengths to cold atom and ion based simulators and they can probe for example out of equilibrium phenomena in a natural driven-dissipative setting. This book covers some of the most important works in this area reviewing the proposal for Mott transitions and Luttinger liquid physics with light, to simulating interacting relativistic theories, topological insulators and gauge field physics. The stage of the field now is at a point where on top of the numerous theory proposals; experiments are also reported. Connecting to the theory proposals presented in the chapters, the main experimental quantum technology platforms developed from groups worldwide to realize photonic and polaritonic simulators in the laboratory are also discussed. These include coupled microwave resonator arrays in superconducting circuits, semiconductor based polariton systems, and integrated quantum photonic chips. This is the first book dedicated to photonic approaches to quantum simulation, reviewing the fundamentals for the researcher new to the field, and providing a complete reference for the graduate student starting or already undergoing PhD studies in this area.

Analogue Quantum Simulation

Analogue Quantum Simulation PDF Author: Dominik Hangleiter
Publisher: Springer Nature
ISBN: 3030872165
Category : Science
Languages : en
Pages : 153

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Book Description
This book presents fresh insights into analogue quantum simulation. It argues that these simulations are a new instrument of science. They require a bespoke philosophical analysis, sensitive to both the similarities to and the differences with conventional scientific practices such as analogical argument, experimentation, and classical simulation. The analysis situates the various forms of analogue quantum simulation on the methodological map of modern science. In doing so, it clarifies the functions that analogue quantum simulation serves in scientific practice. To this end, the authors introduce a number of important terminological distinctions. They establish that analogue quantum ‘computation' and ‘emulation' are distinct scientific practices and lead to distinct forms of scientific understanding. The authors also demonstrate the normative value of the computation vs. emulation distinction at both an epistemic and a pragmatic level. The volume features a range of detailed case studies focusing on: i) cold atom computation of many-body localisation and the Higgs mode; ii) photonic emulation of quantum effects in biological systems; and iii) emulation of Hawing radiation in dispersive optical media. Overall, readers will discover a normative framework to isolate and support the goals of scientists undertaking analogue quantum simulation and emulation. This framework will prove useful to both working scientists and philosophers of science interested in cutting-edge scientific practice.

From Atom Optics to Quantum Simulation

From Atom Optics to Quantum Simulation PDF Author: Sebastian Will
Publisher: Springer Science & Business Media
ISBN: 3642336337
Category : Science
Languages : en
Pages : 270

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Book Description
This thesis explores ultracold quantum gases of bosonic and fermionic atoms in optical lattices. The highly controllable experimental setting discussed in this work, has opened the door to new insights into static and dynamical properties of ultracold quantum matter. One of the highlights reported here is the development and application of a novel time-resolved spectroscopy technique for quantum many-body systems. By following the dynamical evolution of a many-body system after a quantum quench, the author shows how the important energy scales of the underlying Hamiltonian can be measured with high precision. This achievement, its application, and many other exciting results make this thesis of interest to a broad audience ranging from quantum optics to condensed matter physics. A lucid style of writing accompanied by a series of excellent figures make the work accessible to readers outside the rapidly growing research field of ultracold atoms.

Computational Physics

Computational Physics PDF Author: Philipp Scherer
Publisher: Springer Science & Business Media
ISBN: 3319004018
Category : Science
Languages : en
Pages : 456

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Book Description
This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. The first part of the book discusses the basic numerical methods. The second part concentrates on simulation of classical and quantum systems. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by studying the motion in Liouville space. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into not only the numerical treatment but also simulated problems. Different methods are compared with regard to their stability and efficiency. The exercises in the book are realised as computer experiments.

Quantum Mechanics Simulations

Quantum Mechanics Simulations PDF Author: John R. Hiller
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 252

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Book Description
The Consortium for Upper Level Physics Software (CUPS) has developed a comprehensive series of Nine Book/Software packages that Wiley will publish in FY '95 and '96. CUPS is an international group of 27 physicists, all with extensive backgrounds in the research, teaching, and development of instructional software. The project is being supported by the National Science Foundation (PHY-9014548), and it has received other support from the IBM Corp., Apple Computer Corp., and George Mason University. The Simulations being developed are: Astrophysics, Classical Mechanics, Electricity & Magnetism, Modern Physics, Nuclear and Particle Physics, Quantum Mechanics, Solid State, Thermal and Statistical, and Waves and Optics.

Programming Quantum Computers

Programming Quantum Computers PDF Author: Eric R. Johnston
Publisher: O'Reilly Media
ISBN: 1492039659
Category : Computers
Languages : en
Pages : 333

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Book Description
Quantum computers are poised to kick-start a new computing revolution—and you can join in right away. If you’re in software engineering, computer graphics, data science, or just an intrigued computerphile, this book provides a hands-on programmer’s guide to understanding quantum computing. Rather than labor through math and theory, you’ll work directly with examples that demonstrate this technology’s unique capabilities. Quantum computing specialists Eric Johnston, Nic Harrigan, and Mercedes Gimeno-Segovia show you how to build the skills, tools, and intuition required to write quantum programs at the center of applications. You’ll understand what quantum computers can do and learn how to identify the types of problems they can solve. This book includes three multichapter sections: Programming for a QPU—Explore core concepts for programming quantum processing units, including how to describe and manipulate qubits and how to perform quantum teleportation. QPU Primitives—Learn algorithmic primitives and techniques, including amplitude amplification, the Quantum Fourier Transform, and phase estimation. QPU Applications—Investigate how QPU primitives are used to build existing applications, including quantum search techniques and Shor’s factoring algorithm.

The Simulation Hypothesis

The Simulation Hypothesis PDF Author: Rizwan Virk
Publisher: Penguin
ISBN: 0593854969
Category : Science
Languages : en
Pages : 0

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Book Description
The definitive exploration of one of the most daring and consequential theories of our time, completely revised and updated to reflect the rapid advances in artificial intelligence and virtual reality Are we living in a simulation? MIT computer scientist Rizwan Virk draws from research and concepts from computer science, artificial intelligence, video games, quantum physics, and ancient mystics to explain why we may be living inside a simulated reality like the Matrix. Simulation theory explains some of the biggest mysteries of quantum and relativistic physics, such as quantum indeterminacy, parallel universes, and the integral nature of the speed of light, using information and computation. Virk shows how the evolution of our video games, including virtual reality, augmented reality, artificial intelligence, and quantum computing, will lead us to a technological singularity. We will reach the simulation point, where we can develop all-encompassing virtual worlds like the OASIS in Ready Player One or The Matrix—and in fact we are already likely inside such a simulation. While the idea sounds like science fiction, many scientists, engineers, and professors have given the simulation hypothesis serious consideration, including Elon Musk, Neil deGrasse Tyson, and Nick Bostrom. But the simulation hypothesis is not just a modern idea. Philosophers of all traditions have long contended that we are living in some kind of “illusion” and that there are other realities that we can access with our minds. The Simulation Hypothesis is the definitive book on simulation theory and is now completely updated to reflect the latest developments in artificial intelligence and virtual reality. Whether you are a computer scientist, a fan of science fiction like the Matrix movies, a video game enthusiast, a spiritual seeker, or simply a fan of mind-bending thought experiments, you will never look at the world the same way again.

Frontiers of Engineering

Frontiers of Engineering PDF Author: National Academy of Engineering
Publisher: National Academies Press
ISBN: 0309487501
Category : Technology & Engineering
Languages : en
Pages : 125

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Book Description
This volume presents papers on the topics covered at the National Academy of Engineering's 2018 US Frontiers of Engineering Symposium. Every year the symposium brings together 100 outstanding young leaders in engineering to share their cutting-edge research and innovations in selected areas. The 2018 symposium was held September 5-7 and hosted by MIT Lincoln Laboratory in Lexington, Massachusetts. The intent of this book is to convey the excitement of this unique meeting and to highlight innovative developments in engineering research and technical work.