Beyond Stellar Rank: Control Parameters for Scalable Optical Non-Gaussian State Generation
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arXiv
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| Format: | Preprint |
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2025
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| author | Hanamura, Fumiya Takase, Kan Nagayoshi, Hironari Ide, Ryuhoh Asavanant, Warit Fukui, Kosuke Marek, Petr Filip, Radim Furusawa, Akira |
| author_facet | Hanamura, Fumiya Takase, Kan Nagayoshi, Hironari Ide, Ryuhoh Asavanant, Warit Fukui, Kosuke Marek, Petr Filip, Radim Furusawa, Akira |
| contents | Advanced quantum technologies rely on non-Gaussian states of light, essential for universal quantum computation, fault-tolerant error correction, and quantum sensing. Their practical realization, however, faces hurdles: simulating large multi-mode generators is computationally demanding, and benchmarks such as the \emph{stellar rank} do not capture how effectively photon detections yield useful non-Gaussianity. We address these challenges by introducing the \emph{non-Gaussian control parameters} $(s_0,δ_0)$, a continuous and operational measure that goes beyond stellar rank. Leveraging these parameters, we develop a universal optimization method that reduces photon-number requirements and greatly enhances success probabilities while preserving state quality. Applied to the Gottesman--Kitaev--Preskill (GKP) state generation, for example, our method cuts the required photon detections by a factor of three and raises the preparation probability by nearly $10^8$. Demonstrations across cat states, cubic phase states, GKP states, and even random states confirm broad gains in experimental feasibility. Our results provide a unifying principle for resource-efficient non-Gaussian state generation, charting a practical route toward scalable optical quantum technologies and fault-tolerant quantum computation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06255 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Beyond Stellar Rank: Control Parameters for Scalable Optical Non-Gaussian State Generation Hanamura, Fumiya Takase, Kan Nagayoshi, Hironari Ide, Ryuhoh Asavanant, Warit Fukui, Kosuke Marek, Petr Filip, Radim Furusawa, Akira Quantum Physics Advanced quantum technologies rely on non-Gaussian states of light, essential for universal quantum computation, fault-tolerant error correction, and quantum sensing. Their practical realization, however, faces hurdles: simulating large multi-mode generators is computationally demanding, and benchmarks such as the \emph{stellar rank} do not capture how effectively photon detections yield useful non-Gaussianity. We address these challenges by introducing the \emph{non-Gaussian control parameters} $(s_0,δ_0)$, a continuous and operational measure that goes beyond stellar rank. Leveraging these parameters, we develop a universal optimization method that reduces photon-number requirements and greatly enhances success probabilities while preserving state quality. Applied to the Gottesman--Kitaev--Preskill (GKP) state generation, for example, our method cuts the required photon detections by a factor of three and raises the preparation probability by nearly $10^8$. Demonstrations across cat states, cubic phase states, GKP states, and even random states confirm broad gains in experimental feasibility. Our results provide a unifying principle for resource-efficient non-Gaussian state generation, charting a practical route toward scalable optical quantum technologies and fault-tolerant quantum computation. |
| title | Beyond Stellar Rank: Control Parameters for Scalable Optical Non-Gaussian State Generation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.06255 |