Performance analysis of cat and GKP breeding protocols with squeezed single-photon input
Abstract
Homodyne breeding is a promising optical route for generating large cat states and Gottesman--Kitaev--Preskill (GKP) grid states, using readily available squeezed-cat states as inputs. We analyze the performance of protocols, using squeezed single-photon seeds, Ŝ(r)ket1, as squeezed-cat resources and propagating them through the same cat-to-GKP breeding pipeline. For a symmetric tree with N=2m1 seeds, the heralded resource state reduces to a state with a polynomial-Gaussian wavefunction controlled by a single effective width, achieving near-unit fidelity with the desired cat resource state. Our analysis yields closed-form even-cat fidelities and an inverse-design rule for the seed squeezing. We apply these resources to GKP breeding, and find a large overlap with a practical GKP state. We also investigate the effects of practical imperfections, including finite homodyne acceptance windows and photon loss. This study shows that squeezed single-photon inputs provide a viable resource assignment for homodyne cat and GKP breeding, replacing the demanding requirement for high-resolution photon-number-resolving heralding with an on-demand single-photon source.
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BibTeX
@misc{kim2026performance,
title = {{Performance analysis of cat and GKP breeding protocols with squeezed single-photon input}},
author = {Yoonha Kim and Jaehak Lee},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.02547},
eprint = {2611.02547},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.02547},
}
RIS
TY - UNPB
TI - Performance analysis of cat and GKP breeding protocols with squeezed single-photon input
AU - Yoonha Kim
AU - Jaehak Lee
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.02547
UR - https://arxiv.org/abs/2611.02547
AB - Homodyne breeding is a promising optical route for generating large cat states and Gottesman--Kitaev--Preskill (GKP) grid states, using readily available squeezed-cat states as inputs. We analyze the performance of protocols, using squeezed single-photon seeds, Ŝ(r)ket1, as squeezed-cat resources and propagating them through the same cat-to-GKP breeding pipeline. For a symmetric tree with N=2^m_1 seeds, the heralded resource state reduces to a state with a polynomial-Gaussian wavefunction controlled by a single effective width, achieving near-unit fidelity with the desired cat resource state. Our analysis yields closed-form even-cat fidelities and an inverse-design rule for the seed squeezing. We apply these resources to GKP breeding, and find a large overlap with a practical GKP state. We also investigate the effects of practical imperfections, including finite homodyne acceptance windows and photon loss. This study shows that squeezed single-photon inputs provide a viable resource assignment for homodyne cat and GKP breeding, replacing the demanding requirement for high-resolution photon-number-resolving heralding with an on-demand single-photon source.
ER -