Scientific Results

Device-independent entanglement-based Bennett 1992 protocol

Year: 2012

Authors: Lucamarini M., Vallone G., Gianani I., Mataloni P., Di Giuseppe G.

Autors Affiliation: Scuola di Scienze e Tecnologie, Divisione di Fisica, I-62032 Camerino (MC), Italy;
Dipartimento di Fisica, Università Sapienza di Roma, I-00185 Roma, Italy;
Department of Information Engineering, University of Padova, I-35131 Padova, Italy;
Istituto Nazionale di Ottica, Consiglio Nazionale delle Ricerche (INO-CNR), Largo Enrico Fermi 6, I-50125 Firenze, Italy;
CriptoCam srl, Via Madonna delle Carceri 9, I-62032 Camerino (MC), Italy

Abstract: In this paper we set forth a connection between the Bennett 1992 protocol and a Bell inequality. This allows us to extend the usual prepare-and-measure protocol to its entanglement-based formulation. We exploit a recent result in the framework of device-independent quantum key distribution to provide a simple, model-independent, security proof for the protocol. The minimum efficiency required for a practical implementation of the scheme can be as low as 75% in the completely untrusted case and 50% in case the sender is assumed to be trusted.

Journal/Review: PHYSICAL REVIEW A

Volume: 86 (3)      Pages from: 032325  to: 032325

More Information: We thank K. Tamaki for fundamental discussions and Ll. Masanes, S. Pironio, and A. Acin for a feedback on their work. Our work was supported by EU-Project CHISTERAQUASAR and by PRIN 2009 of MIUR (Ministero dell\’Istruzione, dell\’Universita e della Ricerca). M.L. was supported by the 5% Grant No. C.F. 81001910439. G.V. was partially supported by the Strategic-Research-Project QUINTET of the Department of Information Engineering, University of Padova, and the Strategic-Research-Project QUANTUMFUTURE of the University of Padova.
KeyWords: quantum key distribution; cryptography; nonlocality; efficiency; states
DOI: 10.1103/PhysRevA.86.032325

Citations: 17
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