Quantum Computation and Quantum Communication:: Theory and Experiments

Quantum computing
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see A computer can solve many different equations. In September , IBM Research scientists use a 7 qubit device to model the largest molecule, [] Beryllium hydride, ever by a quantum computer. The results were published as the cover story in the peer-reviewed journal Nature. In October , IBM Research scientists successfully "broke the qubit simulation barrier" and simulated and qubit short-depth circuits , using the Lawrence Livermore National Laboratory's Vulcan supercomputer, and the University of Illinois' Cyclops Tensor Framework originally developed at the University of California.

The results were published in arxiv. In November , the University of Sydney research team in Australia successfully made a microwave circulator , an important quantum computer part, times smaller than a conventional circulator by using topological insulators to slow down the speed of light in a material. The companies, universities, and labs to explore practical quantum applications, using IBM Q 20 qubit commercial systems, for business and science include: In D-Wave reported to start selling a qubit quantum computer.

In late and early IBM [] , Intel [] , and Google [] each reported testing quantum processors containing 50, 49, and 72 qubits, respectively, all realized using superconducting circuits. By number of qubits, these circuits are approaching the range in which simulating their quantum dynamics is expected to become prohibitive on classical computers, although it has been argued that further improvements in error rates are needed to put classical simulation out of reach.

In February , scientists reported, for the first time, the discovery of a new form of light , which may involve polaritons , that could be useful in the development of quantum computers. In February , QuTech reported successfully testing a silicon-based two-spin-qubits quantum processor. In June , Intel begins testing silicon-based spin-qubit processor, manufactured in the company's D1D Fab in Oregon. In July , a team led by the University of Sydney has achieved the world's first multi-qubit demonstration of a quantum chemistry calculation performed on a system of trapped ions, one of the leading hardware platforms in the race to develop a universal quantum computer.

The class of problems that can be efficiently solved by quantum computers is called BQP , for "bounded error, quantum, polynomial time". Quantum computers only run probabilistic algorithms , so BQP on quantum computers is the counterpart of BPP "bounded error, probabilistic, polynomial time" on classical computers. It is defined as the set of problems solvable with a polynomial-time algorithm, whose probability of error is bounded away from one half. If that solution runs in polynomial time, then that problem is in BQP. Both integer factorization and discrete log are in BQP.

Both are suspected to not be NP-complete.

There is a common misconception that quantum computers can solve NP-complete problems in polynomial time. That is not known to be true, and is generally suspected to be false. The capacity of a quantum computer to accelerate classical algorithms has rigid limits—upper bounds of quantum computation's complexity. The overwhelming part of classical calculations cannot be accelerated on a quantum computer.

Bohmian Mechanics is a non-local hidden variable interpretation of quantum mechanics. Neither search method will allow quantum computers to solve NP-Complete problems in polynomial time. Although quantum computers may be faster than classical computers for some problem types, those described above cannot solve any problem that classical computers cannot already solve. A Turing machine can simulate these quantum computers, so such a quantum computer could never solve an undecidable problem like the halting problem.

The existence of "standard" quantum computers does not disprove the Church—Turing thesis. Currently, defining computation in such theories is an open problem due to the problem of time , i. From Wikipedia, the free encyclopedia. Classical mechanics Old quantum theory Bra—ket notation Hamiltonian Interference. Quantum annealing Quantum chaos Quantum computing Density matrix Quantum field theory Fractional quantum mechanics Quantum gravity Quantum information science Quantum machine learning Perturbation theory quantum mechanics Relativistic quantum mechanics Scattering theory Spontaneous parametric down-conversion Quantum statistical mechanics.

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February Learn how and when to remove this template message. This section does not cite any sources. Please help improve this section by adding citations to reliable sources. Unsourced material may be challenged and removed. Is a universal quantum computer sufficient to efficiently simulate an arbitrary physical system?

Timeline of quantum computing. Chemical computer DNA computing Electronic quantum holography Intelligence Advanced Research Projects Activity Kane quantum computer List of emerging technologies List of quantum processors Natural computing Normal mode Photonic computing Post-quantum cryptography Quantum annealing Quantum bus Quantum cognition Quantum gate Quantum machine learning Quantum threshold theorem Soliton Theoretical computer science Timeline of quantum computing Topological quantum computer Valleytronics.

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A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines". Journal of statistical physics. Vychislimoe i nevychislimoe [ Computable and Noncomputable ] in Russian. Archived from the original on International Journal of Theoretical Physics. Proceedings of the Royal Society of London A. Foundations of Computer Science, Proceedings. Quantum Computation and Quantum Information 2nd ed.

Nanocomputers and Swarm Intelligence. Designs, Codes and Cryptography. Archived from the original PDF on Bernstein, Introduction to Post-Quantum Cryptography.

Introduction to Daniel J. Bernstein, Johannes Buchmann, Erik Dahmen editors. Bernstein and Tanja Lange on cryptography not known to be broken by quantum computing. Information and Media Technologies. Institute for Advanced Study. Future Trends in Microelectronics. Up the Nano Creek: Bulletin of the American Mathematical Society.

The breakthrough quantum computing needs? Quantum Computers and Computing. International Journal of Modern Physics B. Optically detected nutations of single electron and nuclear spins". Journal of Statistical Physics. Retrieved May 4, Schoelkopf 9 July Yang Institute for Theoretical Physics. International Journal of Computer and Electrical Engineering.

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University of New South Wales. University of Southern California. The New York Times. The Physics arXiv Blog". Proceedings of the National Academy of Sciences. Another can handle highly polluted training data, where a high percentage of the examples are mislabeled, as they often are in the real world. Isakov, David Wecker, John M. Lidar, Matthias Troyer, Scott Aaronson on Google's new quantum-computing paper". Retrieved 8 August Retrieved 17 May Retrieved 23 July Retrieved 13 September University of Sydney team develop microcircuit based on Nobel Prize research".

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Retrieved 14 December Introduction and step-by-step demo" — via YouTube. Why not buy your very own D-Wave quantum computer". Retrieved 13 May Institute of Electrical and Electronics Engineers.

Quantum entanglement

Retrieved July 5, Retrieved 17 February Explicit use of et al. Retrieved July 12, Quantum chemistry expected to be one of the first applications of full-scale quantum computers". Proceedings of the London Royal Society. See section 7 "Quantum Gravity": That is, one without all the bother of making numerical predictions and comparing them to observation] let me humbly propose the following: Addiction, Procrastination, and Laziness: A Proactive Guide to the Psychology of Mo A self-help manual, and a rigorous analysis of the psychology of motivation.

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Quantum Computing: A Short Course from Theory to Experiment

Bitcoin trading can help you make extra income. This book will provide you with the necessary details so that you can get started. Review From the reviews: Springer; edition September 30, Language: E-books are non-returnable and non-refundable. Added to Your Shopping Cart. Description The result of a lecture series, this textbook is oriented towards students and newcomers to the field and discusses theoretical foundations as well as experimental realizations in detail.

The authors are experienced teachers and have tailored this book to the needs of students. They present the basics of quantum communication and quantum information processing, leading readers to modern technical implementations. In addition, they discuss errors and decoherence as well as methods of avoiding and correcting them.

About the Author Prof. Suter is an experimentalist and well known for his NMR-work and currently working on quantum computation projects.