Optimal entanglement witnesses from generalized reduction and Robertson maps
Dariusz Chru\'sci\'nski, Justyna Pytel
TL;DR
This paper introduces a generalized class of positive maps leading to optimal entanglement witnesses, analyzes their physical approximation, and provides new examples of PPT entangled states, advancing quantum entanglement detection methods.
Contribution
It generalizes reduction and Robertson maps to create new optimal entanglement witnesses and explores their physical approximations and PPT entangled states.
Findings
New class of optimal entanglement witnesses
Analysis of structural physical approximation
Examples of PPT entangled states
Abstract
We provide a generalization of the reduction and Robertson positive maps in matrix algebras. They give rise to a new class of optimal entanglement witnesses. Their structural physical approximation is analyzed. As a byproduct we provide a new examples of PPT (Positive Partial Transpose) entangled states.
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