Type II Quantum Computing Algorithm for Computational Fluid Dynamics - Brossura

Scoville, James A.

 
9781249584636: Type II Quantum Computing Algorithm for Computational Fluid Dynamics
Brossura
ISBN 10: 1249584639 ISBN 13: 9781249584636
Casa editrice: LIGHTNING SOURCE INC, 2012

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Editore
LIGHTNING SOURCE INC
Data di pubblicazione
2012
Lingua
Inglese
ISBN 10 
1249584639
ISBN 13 
9781249584636
Rilegatura
Copertina flessibile
Numero di pagine
94
Contatto del produttore
non disponibile
Persona responsabile
non disponibile