Remote state preparation of single-partite high-dimensional states in complex Hilbert spaces

• URL: http://arxiv.org/abs/2603.01323v1
• Date: Sun, 01 Mar 2026 23:49:32 GMT
• Title: Remote state preparation of single-partite high-dimensional states in complex Hilbert spaces
• Authors: Jun-Hai Zhao, Si-Qi Du, Wen-Qiang Liu, Dong-Hong Zhao, Hai-Rui Wei,
• Abstract summary: High-dimensional quantum systems offer a new playground for quantum information applications.<n>We propose potentially practical schemes for preparing four- and eight-level equatorial states in complex Hilbert spaces.<n>The evaluations indicate that our high-dimensional RSP schemes might be possible with current technology.
• Score: 4.088920666681552
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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