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arXiv · 2304.05125

Prior Entanglement Exponentially Improves One-Server Quantum Private Information Retrieval for Quantum Messages

Seunghoan Song·Francois Le Gall·Masahito Hayashi
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Abstract

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.

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Seunghoan Song, Francois Le Gall, Masahito Hayashi. 2023-04-11. Prior Entanglement Exponentially Improves One-Server Quantum Private Information Retrieval for Quantum Messages. https://doi.org/10.1140/epjqt%2Fs40507-024-00266-6

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