Scientific article
Open access

Semi-device-independent bounds on entanglement

Publication date2011

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.

Citation (ISO format)
LIANG, Yeong Cherng, VÉRTESI, Tamás, BRUNNER, Nicolas. Semi-device-independent bounds on entanglement. In: Physical review, A, Atomic, molecular, and optical physics, 2011, vol. 83, n° 2. doi: 10.1103/PhysRevA.83.022108
Main files (1)
Article (Published version)
ISSN of the journal1050-2947

Technical informations

Creation05/06/2014 4:31:00 PM
First validation05/06/2014 4:31:00 PM
Update time03/14/2023 9:12:13 PM
Status update03/14/2023 9:12:13 PM
Last indexation01/16/2024 9:56:56 AM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack