On the Capacity of Quantum Private Information Retrieval From MDS-Coded and Colluding Servers

Matteo Allaix*, Seunghoan Song, Lukas Holzbaur, Tefjol Pllaha, Masahito Hayashi, Camilla Hollanti

*Tämän työn vastaava kirjoittaja

Tutkimustuotos: LehtiartikkeliArticleScientificvertaisarvioitu

2 Sitaatiot (Scopus)
9 Lataukset (Pure)

Abstrakti

In quantum private information retrieval (QPIR), a user retrieves a classical file from multiple servers by downloading quantum systems without revealing the identity of the file. The QPIR capacity is the maximal achievable ratio of the retrieved file size to the total download size. In this paper, the capacity of QPIR from MDS-coded and colluding servers is studied for the first time. Two general classes of QPIR, called stabilizer QPIR and dimension-squared QPIR induced from classical strongly linear PIR are defined, and the related QPIR capacities are derived. For the non-colluding case, the general QPIR capacity is derived when the number of files goes to infinity. A general statement on the converse bound for QPIR with coded and colluding servers is derived showing that the capacities of stabilizer QPIR and dimension-squared QPIR induced from any class of PIR are upper bounded by twice the classical capacity of the respective PIR class. The proposed capacity-achieving scheme combines the star-product scheme by Freij-Hollanti et al. and the stabilizer QPIR scheme by Song et al. by employing (weakly) self-dual Reed-Solomon codes.

AlkuperäiskieliEnglanti
Sivut885-898
Sivumäärä14
JulkaisuIEEE Journal on Selected Areas in Communications
Vuosikerta40
Numero3
DOI - pysyväislinkit
TilaJulkaistu - 1 maalisk. 2022
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

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