Kempe, Julia - Approaches to Quantum Error Correction

"Reviews of Modern Physics", vol.42, №4, October 1970, 24 p. The statistical interpretation of quantum theory is formulated for the purpose of providing a sound interpretation using a minimum of assumptions. Several arguments are advanced in favor of considering the quantum state description to apply only to an ensemble of similarily prepared systems, rather than supposing, as is often done, that it exhaustively represents an individual physical...

Computer Science, University of York, York YO10 5DD, UK Introduction Computing at the atomic scale Reversible computation Classical universal machines and logic gates FANOUT and ERASE Computation without ERASE Elementary quantum notation Logic gates for quantum bits Logic gates in the laboratory Model quantum computer and quantum code Quantum parallelism: Period of a sequence The complexity of factoring Security and RSA Shor's result: Factoring n...

Cambridge University Press, 2003, 276 pages This timely volume provides a broad survey of (2+l)-dimensional quantum gravity. It emphasises the 'quantum cosmology' of closed universes and the quantum mechanics of the (2+l)-dimensional black hole. It compares and contrasts a variety of approaches, and examines what they imply for a realistic theory of quantum gravity. General relativity in three spacetime dimensions has become a popular arena in...

John Wiley & Sons Canada, Ltd. , 509 pages, July 21 1989, ISBN-10: 0471845264. Photons and Atoms: Introduction to Quantum Electrodynamics provides the necessary background to understand the various physical processes associated with photon-atom interactions. It starts with elementary quantum theory and classical electrodynamics and progresses to more advanced approaches. A critical comparison is made between these different, although equivale...

Wiley-VCH, 2011. - 352 pp. Unique in that it is jointly written by an experimentalist and a theorist, this monograph presents universal quantum computation based on quantum teleportation as an elementary subroutine and multi-party entanglement as a universal resource. Optical approaches to measurement-based quantum computation are also described, including schemes for quantum error correction, with most of the experiments carried out by the autho...

Упражнения к курсу лекций по квантовым вычислениямю На англ. яз. Julia Kempe, School of Computer Science Lectures on quantum computations(+ problems), Spring 2007 Homework: Two-state quantum key distribution, Superdense coding, (HiddenTranslation,Fourier transform, mproved processingin of Shor’s algorithm, Variations on Grover’s algorithm,Bell Inequalities, Non-local boxes,Encoding circuits,Fault-tolerant operations. Introduction, axioms, Bell...

Lectures on quantum computations(+ problems), Spring 2007 Julia Kempe, School of Computer Science Introduction, axioms, Bell Inequaities Hilbert spaces, Tensor products, quantum gates Hilbert spaces, Super-dense coding, Teleportation Reversibility, Accuracy Quantum complexity theory Extended Church-Turing thesis Simons algorithm +QFT Quantum factoring algorithm Abelian HSP+ Discreet log NP-completeProblems:lowerbounds+ZenoE?ect Quadratic speedup...

Quantum Algorithms {LectureNotes SummerSchool onTheory andTechnology in Quantum Information,Communication, Computationand Cryptography Julia Kempe CNRS&LRI, Universite de Paris-Sud 91405Orsay,France June2, The quantum circuit model First Algorithms:Deutsch and Deutsch-Josza Simon's algorithm Shor's Factoring Algorithm Grover's Algorithm OtherAlgorithms The Hidden Subgroup problem Search Algorithms OtherAlgorithms Recent Developments Quantum W...

Cаmbridge Univеrsity Prеss, 2001, 674 pages In this first comprehensive introduction to the main ideas and techniques of quantum computation and information, Michael Nielsen and Isaac Chuang ask the question: What are the ultimate physical limits to computation and communication? They detail such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error correction. A wealth of accompanying fig...

MIT Press, 2011. - 372 pp. The combination of two of the twentieth century's most influential and revolutionary scientific theories, information theory and quantum mechanics, gave rise to a radically new view of computing and information. Quantum information processing explores the implications of using quantum mechanics instead of classical mechanics to model information and its processing. Quantum computing is not about changing the physical su...