Result: Numerical analysis on a quantum computer
Title:
Numerical analysis on a quantum computer
Authors:
Source:
Large-scale scientific computing (5th international conference, LSSC 2005, Sozopol, Bulgaria, June 6-10, 2005)0LSSC 2005. :28-39
Publisher Information:
Berlin: Springer, 2006.
Publication Year:
2006
Physical Description:
print, 35 ref 1
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Algorithmique. Calculabilité. Arithmétique ordinateur, Algorithmics. Computability. Computer arithmetics, Logiciel, Software, Systèmes informatiques et systèmes répartis. Interface utilisateur, Computer systems and distributed systems. User interface, Algorithme déterministe, Deterministic algorithms, Algorithme numérique, Numerical algorithm, Algoritmo numérico, Algorithme randomisé, Randomized algorithm, Algoritmo aleatorizado, Approche déterministe, Deterministic approach, Enfoque determinista, Borne inférieure, Lower bound, Cota inferior, Borne supérieure, Upper bound, Cota superior, Calcul quantique, Quantum computation, Calculo cuántico, Calcul réparti, Distributed computing, Cálculo repartido, Complexité algorithme, Algorithm complexity, Complejidad algoritmo, Complexité calcul, Computational complexity, Complejidad computación, Grille, Grid, Rejilla, Haute performance, High performance, Alto rendimiento, Intégration numérique, Numerical integration, Integración numérica, Ordinateur quantique, Quantum computer, Randomisation, Randomization, Aleatorización, Théorie information, Information theory, Teoría información
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Fachbereich Informatik, Universität Kaiserslautern, 67653 Kaiserslautern, Germany
ISSN:
0302-9743
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Accession Number:
edscal.19150405
Database:
PASCAL Archive
Further Information
We give a short introduction to quantum computing and its relation to numerical analysis. We survey recent research on quantum algorithms and quantum complexity theory for two basic numerical problems - high dimensional integration and approximation. Having matching upper and lower complexity bounds for the quantum setting, we are in a position to compare them with those for the classical deterministic and randomized setting, previously obtained in information-based complexity theory. This enables us to assess the possible speedups quantum computation could provide over classical deterministic or randomized algorithms for these numerical problems.