Download or read book On Quantum Algorithms for Noncommutative Hidden Subgroups written by and published by . This book was released on 1998 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum algorithms for factoring and discrete logarithm have previously been generalized to finding hidden subgroups of finite Abelian groups. This paper explores the possibility of extending this general viewpoint to finding hidden subgroups of noncommutative groups. The authors present a quantum algorithm for the special case of dihedral groups which determines the hidden subgroup in a linear number of calls to the input function. They also explore the difficulties of developing an algorithm to process the data to explicitly calculate a generating set for the subgroup. A general framework for the noncommutative hidden subgroup problem is discussed and they indicate future research directions.
Download or read book Hidden Subgroup Problem written by Maria Perepechaenko and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Most quantum algorithms that are efficient as opposed to their equivalent classical algorithms are solving variants of the Hidden Subgroup Problem (HSP), therefore HSP is a central problem in the field of quantum computing. In this thesis, we offer some interesting results about the subgroup and coset structure of certain groups, including the dihedral group. We describe classical algorithms to solve the HSP over various abelian groups and the dihedral group. We also discuss some existing quantum algorithms to solve the HSP and give our own novel algorithms and ideas to approach the HSP for the dihedral groups.
Download or read book STACS 99 written by Christoph Meinel and published by Springer. This book was released on 2003-05-21 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 16th Annual Symposium on Theoretical Aspects of Computer Science, STACS 99, held in Trier, Germany in March 1999. The 51 revised full papers presented were selected from a total of 146 submissions. Also included are three invited papers. The volume is divided in topical sections on complexity, parallel algorithms, computational geometry, algorithms and data structures, automata and formal languages, verification, algorithmic learning, and logic in computer science.
Download or read book Theory of Quantum Computation Communication and Cryptography written by Andrew Childs and published by Springer. This book was released on 2010-03-10 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-workshop proceedings of the 4th Workshop on Theory of Quantum Computation, Communication, and Cryptography, TQC 2009, held in Waterloo, Canada, in May 2009. The 10 revised papers presented were carefully selected during two rounds of reviewing and improvement. The papers present current original research and focus on theoretical aspects of quantum computation, quantum communication, and quantum cryptography, which are part of a larger interdisciplinary field embedding information science in a quantum mechanical framework. Topics addressed are such as quantum algorithms, models of quantum computation, quantum complexity theory, simulation of quantum systems, quantum cryptography, quantum communication, quantum estimation and measurement, quantum noise, quantum coding theory, fault-tolerant quantum computing, and entanglement theory.
Download or read book The Hidden Subgroup Problem for Generalized Quaternions written by Julia Tumasova Upton and published by . This book was released on 2009 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: The hidden subgroup problem is a pivotal problem in quantum computation since it reflects the structure of tasks for which quantum algorithms significantly outperform classical algorithms. In this dissertation, a quantum algorithm that solves the hidden subgroup problem over the generalized quaternion group is developed. The algorithm employs the abelian quantum Fourier transform and Kuperberg sieve to reveal the hidden subgroup.
Download or read book An Introduction to Quantum Computing written by Phillip Kaye and published by OUP Oxford. This book was released on 2006-11-17 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as quantum mechanics and computational complexity is not required.
Download or read book Proceedings of the Fourteenth Annual ACM SIAM Symposium on Discrete Algorithms written by and published by SIAM. This book was released on 2003-01-01 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the January 2003 symposium come just over 100 papers addressing a range of topics related to discrete algorithms. Examples of topics covered include packing Steiner trees, counting inversions in lists, directed scale-free graphs, quantum property testing, and improved results for directed multicut. The papers were not formally refereed, but attempts were made to verify major results. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com)
Download or read book Theory and Applications of Models of Computation written by Manindra Agrawal and published by Springer Science & Business Media. This book was released on 2008-04-08 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Conference on Theory and Applications of Models of Computation, TAMC 2008, held in Xi'an, China in April 2008. The 48 revised full papers presented together with 2 invited talks and 1 plenary lecture were carefully reviewed and selected from 192 submissions. The papers address current issues of all major areas in computer science, mathematics (especially logic) and the physical sciences - computation, algorithms, complexity and computability theory in particular. With this crossdisciplinary character the conference is given a special flavor and distinction.
Download or read book Advances in Cryptology EUROCRYPT 2005 written by Ronald Cramer and published by Springer Science & Business Media. This book was released on 2005-05-09 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 24th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2005, held in Aarhus, Denmark in May 2005. The 33 revised full papers presented were carefully reviewed and selected from 190 submissions. The papers are organized in topical sections on cryptanalysis, theory, encryption, signatures and authentication, algebra and number theory, quantum cryptography, secure protocols, and broadcast encryption and traitor tracing.
Download or read book Current Trends in Theoretical Computer Science written by Gheorghe P?un and published by World Scientific. This book was released on 2004 with total page 1319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on columns and tutorials published in the Bulletin of the European Association for Theoretical Computer Science (EATCS) during the period 2000OCo2003. It presents many of the most active current research lines in theoretical computer science. The material appears in two volumes, OC Algorithms and ComplexityOCO and OC Formal Models and SemanticsOCO, reflecting the traditional division of the field. The list of contributors includes many of the well-known researchers in theoretical computer science. Most of the articles are reader-friendly and do not presuppose much knowledge of the area in question. Therefore, the book constitutes very suitable supplementary reading material for various courses and seminars in computer science. Contents: Vol 1: Algorithms; Computational Complexity; Distributed Computing; Natural Computing; Vol 2: Formal Specification; Logic in Computer Science; Concurrency; Formal Language Theory. Readership: Upper level undergraduates, graduate students and researchers in theoretical computer science and biocomputing."
Download or read book Quantum Fourier Sampling the Hidden Subgroup Problem and Beyond written by Sean Joseph Hallgren and published by . This book was released on 2000 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Current Trends In Theoretical Computer Science The Challenge Of The New Century Vol 1 Algorithms And Complexity Vol 2 Formal Models And Semantics written by Grzegorz Rozenberg and published by World Scientific. This book was released on 2004-04-19 with total page 1319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on columns and tutorials published in the Bulletin of the European Association for Theoretical Computer Science (EATCS) during the period 2000-2003. It presents many of the most active current research lines in theoretical computer science. The material appears in two volumes, “Algorithms and Complexity” and “Formal Models and Semantics”, reflecting the traditional division of the field.The list of contributors includes many of the well-known researchers in theoretical computer science. Most of the articles are reader-friendly and do not presuppose much knowledge of the area in question. Therefore, the book constitutes very suitable supplementary reading material for various courses and seminars in computer science.
Download or read book Hidden Subgroup Problem in Quantum Computing written by Prasit Limbupasiriporn and published by . This book was released on 2005 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diversities In Quantum Computation And Quantum Information written by Mikio Nakahara and published by World Scientific. This book was released on 2012-09-17 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of lecture notes and contributions in “Summer School on Diversities in Quantum Computation/Information” held on 1-5 August, 2010 at U-Community Hotel, Higashi-Osaka, Japan. Lecturers are world class authorities in respective areas in quantum information and quantum computing including physics, mathematics, chemistry and information science. They lectured on cutting-edge research frontiers where they are currently working, including quantum error correction, relativistic quantum information, quantum computing of link polynomials, quantum algorithms, etc. Each lecture note is written in a self-contained manner so that it may be used as a textbook for one semester graduate course or advanced undergraduate course. Contributions report current research subjects also in a self-contained manner. We believe that these articles are accessible to the readers form various disciplines./a
Download or read book Search for New Quantum Algorithms written by and published by . This book was released on 2006 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first objective of this effort, searching for new quantum algorithms, created six new quantum hidden subgroup algorithms. The second objective, improving the theoretical understanding of existing quantum algorithms, produced three new systematic procedures. Also, application of combinatorial group theory led to substantial progress in the understanding and analysis of nonabelian quantum hidden subgroup algorithms. Additionally, methods and techniques of quantum topology have been used to obtain new results in quantum computing including discovery of a relationship between quantum entanglement and topological linking. The last objective, analyzing issues associated with algorithm implementation proposed distributed quantum computing (DQC) as a fast track to scalable quantum computing with technology available within the next five years. A universal set of DQC primitives has been created and used to transform the quantum Fourier transform and the Shor algorithm into DQC. The additional computational overhead needed for DQC algorithms is insignificant and DQC is found to simplify the decoherence problem.
Download or read book Current Trends in Theoretical Computer Science written by Gheorghe Paeaun and published by World Scientific. This book was released on 2004 with total page 1319 pages. Available in PDF, EPUB and Kindle. Book excerpt: contents: vol 1 : Algorithms; Computational Complexity; Distributed Computing; Natural Computing.
Download or read book Proceedings of the ACM Symposium on Theory of Computing written by and published by . This book was released on 2003 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt:
