Remote state preparation of single-partite high-dimensional states in complex Hilbert spaces
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914361699729408 |
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| author | Zhao, Jun-Hai Du, Si-Qi Liu, Wen-Qiang Zhao, Dong-Hong Wei, Hai-Rui |
| author_facet | Zhao, Jun-Hai Du, Si-Qi Liu, Wen-Qiang Zhao, Dong-Hong Wei, Hai-Rui |
| contents | High-dimensional quantum systems offer a new playground for quantum information applications due to their remarkable advantages such as higher capacity and noise resistance. We propose potentially practical schemes for remotely preparing four- and eight-level equatorial states in complex Hilbert spaces exactly by identifying a set of orthogonal measurement bases. In these minimal-resource-consuming schemes, both pre-shared maximally and non-maximally entangled states are taken into account. The three-, five-, six-, and seven-level equatorial states in complex Hilbert spaces can also be obtained by adjusting the parameters of the desired states. The evaluations indicate that our high-dimensional RSP schemes might be possible with current technology. The collection operations, necessary for our high-dimensional RSP schemes via partially entangled channels, can be avoided by encoding the computational basis in the spatial modes of single-photon systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01323 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Remote state preparation of single-partite high-dimensional states in complex Hilbert spaces Zhao, Jun-Hai Du, Si-Qi Liu, Wen-Qiang Zhao, Dong-Hong Wei, Hai-Rui Quantum Physics High-dimensional quantum systems offer a new playground for quantum information applications due to their remarkable advantages such as higher capacity and noise resistance. We propose potentially practical schemes for remotely preparing four- and eight-level equatorial states in complex Hilbert spaces exactly by identifying a set of orthogonal measurement bases. In these minimal-resource-consuming schemes, both pre-shared maximally and non-maximally entangled states are taken into account. The three-, five-, six-, and seven-level equatorial states in complex Hilbert spaces can also be obtained by adjusting the parameters of the desired states. The evaluations indicate that our high-dimensional RSP schemes might be possible with current technology. The collection operations, necessary for our high-dimensional RSP schemes via partially entangled channels, can be avoided by encoding the computational basis in the spatial modes of single-photon systems. |
| title | Remote state preparation of single-partite high-dimensional states in complex Hilbert spaces |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.01323 |