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23 April 2008 Quantum lattice gas algorithm for quantum turbulence and vortex reconnection in the Gross-Pitaevskii equation
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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).
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George Vahala, Jeffrey Yepez, and Linda Vahala "Quantum lattice gas algorithm for quantum turbulence and vortex reconnection in the Gross-Pitaevskii equation", Proc. SPIE 6976, Quantum Information and Computation VI, 69760U (23 April 2008); https://doi.org/10.1117/12.777722
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