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Quantum Simulator for Transport Phenomena in Fluid Flows.

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We developed a quantum simulator to model transport phenomena using pseudospin-boson systems. This approach encodes fluid dynamics within a lattice kinetic framework, enabling quantum simulations of complex physical processes.

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Area of Science:

  • Computational physics
  • Quantum simulation
  • Fluid dynamics

Background:

  • Transport phenomena present significant challenges in computational physics.
  • Lattice Boltzmann methods offer a kinetic theory approach to fluid dynamics.
  • Quantum systems can potentially simulate complex physical phenomena.

Purpose of the Study:

  • To develop a quantum simulator for transport phenomena.
  • To leverage analogies between Dirac and lattice Boltzmann equations.
  • To encode fluid dynamics within a lattice kinetic formalism using quantum systems.

Main Methods:

  • Utilized pseudospin-boson quantum systems for simulation.
  • Employed controlled quantum operations to implement lattice Boltzmann dynamics (streaming and collision processes).
  • Developed a heralded quantum protocol for non-unitary scattering processes.

Main Results:

  • Demonstrated the feasibility of encoding fluid dynamics transport phenomena in a quantum simulator.
  • Showcased the implementation of streaming and collision processes using quantum operations.
  • Established a quantum approach for simulating non-unitary scattering.

Conclusions:

  • The proposed quantum simulator is suitable for encoding fluid dynamics transport phenomena.
  • The method is implementable on current quantum platforms like ion-trap quantum computers and circuit quantum electrodynamics processors.
  • This work opens new avenues for quantum simulation of complex physical systems.