학술논문

Quantum Private Information Retrieval From Coded and Colluding Servers
Document Type
Periodical
Source
IEEE Journal on Selected Areas in Information Theory IEEE J. Sel. Areas Inf. Theory Selected Areas in Information Theory, IEEE Journal on. 1(2):599-610 Aug, 2020
Subject
Communication, Networking and Broadcast Technologies
Servers
Protocols
Information theory
Information retrieval
Databases
Quantum entanglement
Maximum distance separable codes (MDS codes)
locally repairable codes (LRCs)
quantum private information retrieval (QPIR)
distributed data storage (DSS)
quantum computation
quantum entanglement
Language
ISSN
2641-8770
Abstract
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 without collusion and with all but one servers colluding. In this paper, the QPIR setting is extended to account for maximum distance separable (MDS) coded servers. The proposed protocol works for any $[n,k]$ -MDS code and $t$ -collusion with $t=n-k$ . Similarly to the previous cases, the rates achieved are better than those known or conjectured in the classical counterparts. Further, it is demonstrated how the protocol can adapted to achieve significantly higher retrieval rates from DSSs encoded with a locally repairable code (LRC) with disjoint repair groups, each of which is an MDS code.