Non-linear quantum computing for plasma physics*

For a specific class of non-linear problems, we propose a quantum simulation process where the non-linear evolution is managed by a two-component Bose-Einstein condensate coupled with the qubit space.

We demonstrate the prowess of the algorithm by applying it into the Hydrodynamic Schrödinger equation¹ and consider its implementation to other non-linear problems pertinent to plasma physics.

¹H. Meng and Y. Yang, Phys. Rev. Research 5, (2023).