Semi-device-independent bounds on entanglement

Yeong Cherng Liang, Tamás Vértesi, Nicolas Brunner

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)

Abstract

Detection and quantification of entanglement in quantum resources are two key steps in the implementation of various quantum-information processing tasks. Here, we show that Bell-type inequalities are not only useful in verifying the presence of entanglement but can also be used to bound the entanglement of the underlying physical system. Our main tool consists of a family of Clauser-Horne-like Bell inequalities that cannot be violated maximally by any finite-dimensional maximally entangled state. Using these inequalities, we demonstrate the explicit construction of both lower and upper bounds on the concurrence for two-qubit states. The fact that these bounds arise from Bell-type inequalities also allows them to be obtained in a semi-device- independent manner, that is, with assumption of the dimension of the Hilbert space but without resorting to any knowledge of the actual measurements being performed on the individual subsystems.

Original languageEnglish
Article number022108
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume83
Issue number2
DOIs
Publication statusPublished - 2011 Feb 24

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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