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Proceedings Paper

Quantum lattice gas algorithm for quantum turbulence and vortex reconnection in the Gross-Pitaevskii equation
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Paper Abstract

The ground state wave function for a Bose Einstein condensate is well described by the Gross-Pitaevskii equation. A Type-II quantum algorithm is devised that is ideally parallelized even on a classical computer. Only 2 qubits are required per spatial node. With unitary local collisions, streaming of entangled states and a spatially inhomogeneous unitary gauge rotation one recovers the Gross-Pitaevskii equation. Quantum vortex reconnection is simulated - even without any viscosity or resistivity (which are needed in classical vortex reconnection).

Paper Details

Date Published: 23 April 2008
PDF: 10 pages
Proc. SPIE 6976, Quantum Information and Computation VI, 69760U (23 April 2008); doi: 10.1117/12.777722
Show Author Affiliations
George Vahala, College of William and Mary (United States)
Jeffrey Yepez, College of William and Mary (United States)
Air Force Research Lab. (United States)
Linda Vahala, Old Dominion Univ. (United States)

Published in SPIE Proceedings Vol. 6976:
Quantum Information and Computation VI
Eric J. Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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