https://doi.org/10.1140/epjp/s13360-022-03617-3
Regular Article
Operational entanglement detection based on 
-moments
1
School of Mathematical Sciences, Capital Normal University, 100048, Beijing, China
2
Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany
Received:
14
November
2022
Accepted:
20
December
2022
Published online:
27
December
2022
We introduce -moments with respect to any positive map . We show that these -moments can effectively characterize the entanglement of unknown quantum states without theirs prior reconstructions. Based on -moments necessary and sufficient separability criteria, as well as necessary optimized criteria are presented, which include the ones in Yu et al. (Phys Rev Lett 127:060504, 2021) as special cases. Detailed example is given to show that our criteria can detect bound entanglement that cannot be identified by positive partial transpose criterion, with the explicit measurement operators to experimentally measure the corresponding -moments.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
