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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Online-Zugang: | https://arxiv.org/abs/2304.05125 |
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| _version_ | 1866917770453581824 |
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| author | Song, Seunghoan Gall, Francois Le Hayashi, Masahito |
| author_facet | Song, Seunghoan Gall, Francois Le Hayashi, Masahito |
| contents | Quantum private information retrieval (QPIR) for quantum messages is a quantum communication task, in which a user retrieves one of the multiple quantum states from the server without revealing which state is retrieved. In the one-server setting, we find an exponential gap in the communication complexities between the presence and absence of prior entanglement in this problem with the one-server setting. To achieve this aim, as the first step, we prove that the trivial solution of downloading all messages is optimal under QPIR for quantum messages, which is a similar result to that of classical PIR but different from QPIR for classical messages. As the second step, we propose an efficient one-server one-round QPIR protocol with prior entanglement by constructing a reduction from a QPIR protocol for classical messages to a QPIR protocol for quantum messages in the presence of prior entanglement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_05125 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Prior Entanglement Exponentially Improves One-Server Quantum Private Information Retrieval for Quantum Messages Song, Seunghoan Gall, Francois Le Hayashi, Masahito Quantum Physics Quantum private information retrieval (QPIR) for quantum messages is a quantum communication task, in which a user retrieves one of the multiple quantum states from the server without revealing which state is retrieved. In the one-server setting, we find an exponential gap in the communication complexities between the presence and absence of prior entanglement in this problem with the one-server setting. To achieve this aim, as the first step, we prove that the trivial solution of downloading all messages is optimal under QPIR for quantum messages, which is a similar result to that of classical PIR but different from QPIR for classical messages. As the second step, we propose an efficient one-server one-round QPIR protocol with prior entanglement by constructing a reduction from a QPIR protocol for classical messages to a QPIR protocol for quantum messages in the presence of prior entanglement. |
| title | Prior Entanglement Exponentially Improves One-Server Quantum Private Information Retrieval for Quantum Messages |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2304.05125 |