Saved in:
Bibliographic Details
Main Author: Großardt, André
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.10102
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • We present an algorithm that uses a single ancilla qubit that can evolve nonlinearly, and show how to use it to efficiently solve generic nonlinear Schrödinger equations, including nonlocal Hartree equations and the Navier-Stokes equation for an irrotational, non-viscous flow. We propose a realization of such nonlinear qubits via spin-spin coupling of neutral atom qubits to a Bose-Einstein condensate. The results suggest that the use of nonlinear ancillas can provide substantial speedups compared to exclusively linear qubit devices.