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Measurement-based quantum lattice gas model of fluid dynamics in 2+1 dimensions
Michael M Micci1, Jeffrey Yepez2,3
1Department of Aerospace Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2015
Summary
Quantum lattice gas simulations reveal lower kinematic viscosity than classical methods. This quantum simulation accurately predicts fluid dynamics, including Kelvin-Helmholtz instability.
Area of Science:
- Quantum simulation
- Computational fluid dynamics
- Quantum lattice gas algorithms
Background:
- Classical lattice gas models have limitations in simulating fluid dynamics.
- Quantum entanglement offers potential advantages for computational fluid dynamics.
Purpose of the Study:
- To present quantum simulation results for Navier-Stokes fluid dynamics in 2+1 dimensions using a measurement-based quantum lattice gas algorithm.
- To investigate the prediction of kinematic viscosity and fluid instabilities.
Main Methods:
- Utilized a measurement-based quantum lattice gas algorithm for quantum simulations.
- Measured kinematic viscosity via the decay rate of an initial sinusoidal flow profile.
- Simulated a uniform flow profile with double shear layers on a 16K×8K lattice.
Main Results:
- The quantum lattice gas achieved a lower minimum kinematic viscosity than classical lattice gases due to local quantum entanglement.
- Numerically predicted viscosities precisely matched theoretical predictions from a mean-field approximation.
- Observed Kelvin-Helmholtz instability, leading to the breakup of shear layers into counter-rotating vortices.
Conclusions:
- Measurement-based quantum lattice gas algorithms are effective for simulating Navier-Stokes fluid dynamics.
- Quantum simulations offer enhanced precision and lower viscosity predictions compared to classical approaches.
- The study demonstrates the capability of quantum algorithms to capture complex fluid phenomena like vortex dynamics and instabilities.
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