Type II Quantum Computing Algorithm for Computational Fluid Dynamics

Language: English

Published by Creative Media Partners, LLC Okt 2012, 2012

1249584639 / 9781249584636

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Neuware - An algorithm is presented to simulate fluid dynamics on a three qubit type II quantum computer: a lattice of small quantum computers that communicate classical information. The algorithm presented is called a three qubit factorized quantum lattice gas algorithm. It is modeled after classical lattice gas algorithms which move virtual particles along an imaginary lattice and change the particles' momentums using collision rules when they meet at a lattice node. Instead of moving particles, the quantum algorithm presented here moves probabilities, which interact via a unitary collision operator. Probabilities are determined using ensemble measurement and are moved with classical communications channels. The lattice node spacing is defined to be a microscopic scale length. A mesoscopic governing equation for the lattice is derived for the most general three qubit collision operator which preserves particle number. In the continuum limit of the lattice, a governing macroscopic partial differential equation--the diffusion equation--is derived for a particular collision operator using a Chapman- Enskog expansion. A numerical simulation of the algorithm is carried out on a conventional desktop computer and compared to the analytic solution of the diffusion equation. The simulation agrees very well with the known solution.…

Seller Inventory # 9781249584636

Title
Type II Quantum Computing Algorithm for Computational Fluid Dynamics
Author
James A Scoville
Publisher
Creative Media Partners, LLC Okt 2012
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1249584639
ISBN 13
9781249584636
Item weight
141 grams
Dimensions
234x156x5 mm

AHA-BUCH GmbH

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