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arXiv · 2606.12467

Theoretical Study for Generating Optical GKP State via a Single-Photon-Added Squeezed Vacuum

Deriyan Senjaya
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Abstract

A theoretical framework is developed to analyze the generation of the optical GKP state using a single-photon-added squeezed vacuum. This state, defined by the squeezing parameter $r$, is injected into a 50:50 beam splitter, and the optical GKP state is obtained through conditional measurement at one output port. The single-photon-added squeezed vacuum is especially prominent in this context because it provides a simpler and more experimentally accessible ingredient than Schrodinger cat states, while conditional measurement ensures projection onto a state that closely approximates the finite-energy GKP form. Fidelity is employed to quantify this closeness, and the analysis demonstrates that the scheme achieves a maximum fidelity of 85% at a squeezing level of $3.76 \ \text{dB}$. This performance surpasses approaches based on squeezed optical odd Schrodinger cat states, underscoring the single-photon-added squeezed vacuum as a practical and effective pathway toward fault-tolerant photonic quantum computing.

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Deriyan Senjaya. 2026-06-09. Theoretical Study for Generating Optical GKP State via a Single-Photon-Added Squeezed Vacuum. https://arxiv.org/abs/2606.12467

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