Quantum Walks and Search Algorithms
This book addresses an interesting area of quantum computation called quantum walks, which play an important role in building quantum algorithms, in particular search algorithms. Quantum walks are the quantum analogue of classical random walks.It is known that quantum computers have great power for...
محفوظ في:
| المؤلف الرئيسي: | |
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| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2013. |
| سلاسل: | Quantum Science and Technology
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| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Quantum walks and search algorithms, Renato Portugal, New York, Springer, 2013, 1 vol. (xi-222 p.), Quantum science and technology, 1-461-46335-1 • Quantum Walks and Search Algorithms, Texte imprimé, 9781461463375 • Quantum Walks and Search Algorithms, Texte imprimé, 9781489988027 • Quantum walks and search algorithms, Renato Portugal, New York, Springer, 2013, 1 vol. (xi-222 p.), Quantum science and technology, 1-461-46335-1 |
| الملخص: | This book addresses an interesting area of quantum computation called quantum walks, which play an important role in building quantum algorithms, in particular search algorithms. Quantum walks are the quantum analogue of classical random walks.It is known that quantum computers have great power for searching unsorted databases. This power extends to many kinds of searches, particularly to the problem of finding a specific location in a spatial layout, which can be modeled by a graph. The goal is to find a specific node knowing that the particle uses the edges to jump from one node to the next.This book is self-contained with main topics that include:Grover's algorithm, describing its geometrical interpretation and evolution by means of the spectral decomposition of the evolution operaterAnalytical solutions of quantum walks on important graphs like line, cycles, two-dimensional lattices, and hypercubes using Fourier transformsQuantum walks on generic graphs, describing methods to calculate the limiting distribution and mixing timeSpatial search algorithms, with emphasis on the abstract search algorithm (the two-dimensional lattice is used as an example)Szedgedy's quantum-walk model and a natural definition of quantum hitting time (the complete graph is used as an example)The reader will benefit from the pedagogical aspects of the book, learning faster and with more ease than would be possible from the primary research literature. Exercises and references further deepen the reader's understanding, and guidelines for the use of computer programs to simulate the evolution of quantum walks are also provided |
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| وصف المادة: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ردمك: | 9781461463368 |
| تدمد: | 2364-9062 |
| وصول: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |