Multipartite entanglement detection based on generalized state-dependent entropic uncertainty relation for multiple measurements

• URL: http://arxiv.org/abs/2211.00911v1
• Date: Wed, 2 Nov 2022 06:26:07 GMT
• Title: Multipartite entanglement detection based on generalized state-dependent entropic uncertainty relation for multiple measurements
• Authors: Li-Hang Ren and Heng Fan
• Abstract summary: We present the generalized state-dependent entropic uncertainty relations for multiple measurement settings. We give the experimentally accessible lower bounds on both bipartite and tripartite entanglements.
• Score: 15.907303576427644
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present the generalized state-dependent entropic uncertainty relations for multiple measurement settings, and the optimal lower bound has been obtained by considering different measurement sequences. We then apply this uncertainty relation to witness entanglement, and give the experimentally accessible lower bounds on both bipartite and tripartite entanglements. This method of detecting entanglement is applied to physical systems of two particles on a one-dimensional lattice, GHZ-Werner states and W-Werner states. It is shown that, for measurements which are not in mutually unbiased bases, this new entropic uncertainty relation is superior to the previous state-independent one in entanglement detection. The results might play important roles in detecting multipartite entanglement experimentally.

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