Graphical Framework for Non-Gaussian Quantum States
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911076483858432 |
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| author | Vandré, Lina Jing, Boxuan Xiang, Yu Gühne, Otfried He, Qiongyi |
| author_facet | Vandré, Lina Jing, Boxuan Xiang, Yu Gühne, Otfried He, Qiongyi |
| contents | We provide a graphical method to describe and analyze non-Gaussian quantum states using a hypergraph framework. These states are pivotal resources for quantum computing, communication, and metrology, but their characterization is hindered by their complex high-order correlations. The framework encapsulates transformation rules for a series of typical Gaussian unitary operation and local quadrature measurement, offering a visually intuitive tool for manipulating such states through experimentally feasible pathways. Notably, we develop methods for the generation of complex hypergraph states with more or higher-order hyperedges from simple structures through Gaussian operations only, facilitated by our graphical rules. We present illustrative examples on the preparation of non-Gaussian states rooted in these graph-based formalisms, revealing their potential to advance continuous-variable general quantum computing capabilities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07300 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Graphical Framework for Non-Gaussian Quantum States Vandré, Lina Jing, Boxuan Xiang, Yu Gühne, Otfried He, Qiongyi Quantum Physics We provide a graphical method to describe and analyze non-Gaussian quantum states using a hypergraph framework. These states are pivotal resources for quantum computing, communication, and metrology, but their characterization is hindered by their complex high-order correlations. The framework encapsulates transformation rules for a series of typical Gaussian unitary operation and local quadrature measurement, offering a visually intuitive tool for manipulating such states through experimentally feasible pathways. Notably, we develop methods for the generation of complex hypergraph states with more or higher-order hyperedges from simple structures through Gaussian operations only, facilitated by our graphical rules. We present illustrative examples on the preparation of non-Gaussian states rooted in these graph-based formalisms, revealing their potential to advance continuous-variable general quantum computing capabilities. |
| title | Graphical Framework for Non-Gaussian Quantum States |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2409.07300 |