Time-Optimal Control of Collisional $\sqrt{\text{SWAP}}$ Gates in Ultracold Atomic Systems
Abstract
We use quantum optimal control to identify fast collision-based two-qubit gates in ultracold atoms. We show that a significant speed up can be achieved by optimizing the full gate instead of separately optimizing the merge-wait-separate sequence of the trapping potentials. Our optimal strategy does not rely on the atoms populating the lowest eigenstates of the merged potential, and it crucially includes accumulation of quantum phases before the potentials are fully merged. Our analyses transcend the particular trapping geometry, but to compare with previous works, we present systematic results for an optical lattice and find greatly improved gate durations and fidelities.
Keywords
Cite
@article{arxiv.1907.08504,
title = {Time-Optimal Control of Collisional $\sqrt{\text{SWAP}}$ Gates in Ultracold Atomic Systems},
author = {Jesper Hasseriis Mohr Jensen and Jens Jakob Sørensen and Klaus Mølmer and Jacob Friis Sherson},
journal= {arXiv preprint arXiv:1907.08504},
year = {2019}
}
Comments
15 pages, 13 figures, animations at https://www.quatomic.com/quatomic_publications/