Bound entanglement from randomized measurements
- URL: http://arxiv.org/abs/2010.08372v2
- Date: Thu, 22 Apr 2021 09:21:25 GMT
- Title: Bound entanglement from randomized measurements
- Authors: Satoya Imai, Nikolai Wyderka, Andreas Ketterer, Otfried G\"uhne
- Abstract summary: We find the optimal criteria for different forms of multiparticle entanglement in three-qubit systems.
For higher-dimensional two-particle systems and higher moments, we provide criteria that are able to characterize various examples of bound entangled states.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: If only limited control over a multiparticle quantum system is available, a
viable method to characterize correlations is to perform random measurements
and consider the moments of the resulting probability distribution. We present
systematic methods to analyze the different forms of entanglement with these
moments in an optimized manner. First, we find the optimal criteria for
different forms of multiparticle entanglement in three-qubit systems using the
second moments of randomized measurements. Second, we present the optimal
inequalities if entanglement in a bipartition of a multi-qubit system shall be
analyzed in terms of these moments. Finally, for higher-dimensional
two-particle systems and higher moments, we provide criteria that are able to
characterize various examples of bound entangled states, showing that detection
of such states is possible in this framework.
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