Measurement-Device-Independent Approach to Entanglement Measures

Farid Shahandeh, Timothy C. Ralph

Published 2016-08-09Version 1

Within the context of semiquantum nonlocal games, the trust can be removed from the measurement devices in an entanglement-detection procedure. Here we show that a similar approach can be taken to quantify the amount of entanglement. To be specific, first, we prove that in this context a single arbitrary game from a suitable subclass of semiquantum nonlocal games is necessary and sufficient for entanglement detection in the LOCC paradigm. Second, we prove that the pay-off of this game is a universal measure of entanglement which is convex and continuous. Importantly, our measure is operationally accessible in a measurement-device independent way by construction. Finally, we show that our approach can be simply extended to quantify the entanglement within any partitioning of multipartite quantum states.