The one-way quantum computation utilizing bosonic modes of light offers unmatched scalability of light modes, and it has seen rapid experimental development recently. Scalability requires robust and low-error gates and measurements. Squeezing gate is one of the necessary Gaussian operations. We find the optimal squeezing gate in cluster state architecture. Our approach newly uses amplitude transmission coefficients of unbalanced beam splitters and homodyne detection with subsequent unity-gain feed-forward to squeeze the input state. The approach outperforms the current method based on optimally rotated homodyne detection, but with fixed balanced beam splitters. The performance of both cluster state squeezers is evaluated for Gaussian and non-Gaussian input states. We use different metrics to benchmark the quality of squeezed output states. The result opens a road to low-noise squeezing gates in experimentally achievable cluster states.
@article{arxiv.2510.27661,
title = {Teleportation-based squeezer for bosonic cluster states},
author = {Michal Matulík and Radim Filip and Petr Marek},
journal= {arXiv preprint arXiv:2510.27661},
year = {2025}
}