Geometric entanglement witnesses and bound entanglement

Abstract

We study entanglement witnesses that can be constructed with regard to the geometrical structure of the Hilbert-Schmidt space, i.e. we present how to use these witnesses in the context of quantifying entanglement and the detection of bound entangled states. We give examples for a particular three-parameter family of states that are part of the \emph{magic simplex} of two-qutrit states.

arXiv comment8 pages, 3 figures

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• Building separable approximations for quantum states via neural networks
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• Internal Boundary between Entanglement and Separability Within a Quantum State
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• Mirrored Entanglement Witnesses for Multipartite and High-Dimensional Quantum Systems
• Quantum Entanglement and Geometry
• On fully entangled fraction and quantum conditional entropies for states with maximally mixed marginals
• Entanglement-Enhanced Classical Communication
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• Geometric Measure of Entanglement and Schmidt Decomposition of Multipartite Systems