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Reductions between private information retrieval and oblivious transfer at the quantum level

Yu‐Guang Yang, Si-Jia Sun, Qing-Xiang Pan, Peng Xu

Published Jul 30, 2015• 8 citations
Publisher
DOI
10.1016/j.ijleo.2015.07.149

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Private query protocols [1-3] use uncertainty in quantum mechanics to offer functionality similar to 1-out-of-N oblivious transfer (where a user, Ursula, retrieves a single element from a database provider, Dave, who learns nothing about which of the N elements was retrieved). The difference in functionality varies for each private query protocol, but in all cases is motivated by the fact that perfect 1-out-of-N oblivious transfer has been shown to be impossible if the attacker possess an arbitrarily powerful quantum computer [4]. Nonetheless, quantum protocols can offer security against stronger adversaries than protocols relying only on classical information, and it remains an interesting question as to what level of security can be achieved using quantum information. We present a proof-of-principle demonstration of a novel private query protocol that is loss- and fault-tolerant, making it suitable for implementation in a real-world environment, and show that it offers excellent privacy against several quantum attacks [5]. This demonstration is performed over a deployed fibre link between the University of Calgary and SAIT Polytechnic using a slightly modified quantum key distribution (QKD) system [6]. Oblivious transfer (OT) is a well studied primitive in classical information theory, and protocols
In a t-out-n oblivious transfer, the receiver can only receive t messages out of n messages sent by the sender; and the sender has no idea about which ones have been received. Majority of the existing of previous efficient oblivious transfer schemes require t calls of 1-out-n oblivious transfer to construct the t-out-n oblivious transfer. Its computational requirements and bandwidth consumption are quite demanding. Therefore, to guarantee the quality of electronic commercial service, an efficient t-out-n oblivious transfer scheme is urgently desired. Based on the RSA, we propose a new t-out-n oblivious transfer protocol for private information retrieval in this paper. In our method, only several modular multiplications and t hash functions are performed by a user (receiver) to obtain t messages. It is very suitable for the limited computation capacities of receivers such as smart cards or mobile units. Key words: Private information retrieval, security, RSA