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Simulating fluid vortex interactions on a superconducting quantum processor.

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This study introduces a quantum vortex method to simulate complex vortex interactions, overcoming computational challenges of traditional fluid dynamics simulations. The quantum approach successfully reproduces natural vortex dynamics, paving the way for quantum computing in fluid systems.

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Area of Science:

  • Fluid dynamics
  • Quantum computing
  • Computational physics

Background:

  • Vortex interactions are crucial in diverse fields like atmospheric turbulence and plasma dynamics.
  • Simulating these interactions is computationally intensive, requiring fine-scale detail over long periods.
  • Traditional methods face significant computational burdens for complex vortex dynamics.

Purpose of the Study:

  • To develop a quantum vortex method for simulating multi-vortex interactions.
  • To reformulate the Navier-Stokes equations within a quantum mechanical framework.
  • To leverage quantum computing for fluid dynamics simulations.

Main Methods:

  • Constructed an effective Hamiltonian for the vortex system.
  • Implemented a spatiotemporal evolution circuit for quantum simulation.
  • Utilized an eight-qubit superconducting quantum processor.

Main Results:

  • Successfully reproduced natural vortex interactions using the quantum method.
  • Demonstrated the feasibility of simulating vortex dynamics on a quantum computer.
  • Achieved high gate fidelities (99.97% single-qubit, 99.76% two-qubit).

Conclusions:

  • Established a framework for reformulating vortex dynamics into a quantum wavefunction representation.
  • Developed a spatiotemporal encoding scheme for quantum simulation of fluid systems.
  • Provided a pathway for utilizing quantum resources in fluid dynamics research.