Measurement-device-independent quantification of entanglement for given Hilbert space dimension. (25th April 2016)

• Record Type: Journal Article
• Authors: Goh, Koon Tong; Bancal, Jean-Daniel; Scarani, Valerio
• Is Part Of: New journal of physics. Volume 18:Number 4(2016:Apr.)
• Publication Date: 2016-04-25
• Subjects: quantum system with finite Hilbert space -- quantum entanglement -- quantum correlations; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/18/4/045022
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: We address the question of how much entanglement can be certified from the observed correlations and the knowledge of the Hilbert space dimension of the measured systems. We focus on the case in which both systems are known to be qubits. For several correlations (though not for all), one can certify the same amount of entanglement as with state tomography, but with fewer assumptions, since nothing is assumed about the measurements. We also present security proofs of quantum key distribution (QKD) without any assumption on the measurements. We discuss how both the amount of entanglement and the security of QKD are affected by the inefficiency of detectors in this scenario.