High-Rate Quantum Private Information Retrieval with Weakly Self-Dual Star Product Codes

Matteo Allaix, Lukas Holzbaur, Tefjol Pllaha, Camilla Hollanti

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

1 Citation (Scopus)


In the classical private information retrieval (PIR) setup, a user wants to retrieve a file from a database or a distributed storage system (DSS) without revealing the file identity to the servers holding the data. In the quantum PIR (QPIR) setting, a user privately retrieves a classical file by receiving quantum information from the servers. The QPIR problem has been treated by Song et al. in the case of replicated servers, both with and without collusion. QPIR over [n, k] maximum distance separable (MDS) coded servers was recently considered by Allaix et al., but the collusion was essentially restricted to t = n - k servers in the sense that a smaller t would not improve the retrieval rate. In this paper, the QPIR setting is extended to allow for retrieval with high rate for any number of colluding servers t with 1 ≤ t ≤ n - k. Similarly to the previous cases, the rates achieved are better than those known or conjectured in the classical counterparts, as well as those of the previously proposed coded and colluding QPIR schemes. This is enabled by considering the stabilizer formalism and weakly self-dual generalized Reed-Solomon (GRS) star product codes.

Original languageEnglish
Title of host publication2021 IEEE International Symposium on Information Theory, ISIT 2021 - Proceedings
Number of pages6
ISBN (Electronic)9781538682098
Publication statusPublished - 12 Jul 2021
MoE publication typeA4 Article in a conference publication
EventIEEE International Symposium on Information Theory - Virtual, online, Melbourne, Australia
Duration: 12 Jul 202120 Jul 2021

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8095


ConferenceIEEE International Symposium on Information Theory
Abbreviated titleISIT
Internet address


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