Configuration design of multimode Gaussian operations on continuous-variable quad-rail lattice cluster states
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911003262844928 |
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| author | Yoshikawa, Jun-ichi Asavanant, Warit Nagayoshi, Hironari Sakaguchi, Atsushi Yokoyama, Shota Yonezawa, Hidehiro Furusawa, Akira |
| author_facet | Yoshikawa, Jun-ichi Asavanant, Warit Nagayoshi, Hironari Sakaguchi, Atsushi Yokoyama, Shota Yonezawa, Hidehiro Furusawa, Akira |
| contents | Continuous-variable quad-rail lattice cluster states enable flexible quantum circuit design on their two-dimensional structure. However, how to combine basic operations on the quad-rail lattice cluster state to realize multimode operations has not been deeply discussed. Here we show a concrete configuration design to efficiently implement beamsplitter network operations on the cluster state. Furthermore, combining the beamsplitter networks, a configuration design of multimode Gaussian unitary operations is also shown. It is theoretically known that the Gaussian operations are sufficient for universal quantum computation if appropriate non-Gaussian states are injected. Our results are fundamentally important for utilizing the flexible quad-rail lattice cluster states for computations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11236 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Configuration design of multimode Gaussian operations on continuous-variable quad-rail lattice cluster states Yoshikawa, Jun-ichi Asavanant, Warit Nagayoshi, Hironari Sakaguchi, Atsushi Yokoyama, Shota Yonezawa, Hidehiro Furusawa, Akira Quantum Physics Continuous-variable quad-rail lattice cluster states enable flexible quantum circuit design on their two-dimensional structure. However, how to combine basic operations on the quad-rail lattice cluster state to realize multimode operations has not been deeply discussed. Here we show a concrete configuration design to efficiently implement beamsplitter network operations on the cluster state. Furthermore, combining the beamsplitter networks, a configuration design of multimode Gaussian unitary operations is also shown. It is theoretically known that the Gaussian operations are sufficient for universal quantum computation if appropriate non-Gaussian states are injected. Our results are fundamentally important for utilizing the flexible quad-rail lattice cluster states for computations. |
| title | Configuration design of multimode Gaussian operations on continuous-variable quad-rail lattice cluster states |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.11236 |