A family of generalized Horodecki-like entangled states
Dariusz Chru\'sci\'nski, Adam Rutkowski
TL;DR
This paper introduces a multi-parameter family of 2-qudit PPT entangled states that generalizes the Horodecki state, using semidefinite programming to identify entanglement.
Contribution
It extends the class of known PPT entangled states to higher dimensions with a novel multi-parameter family and employs advanced semidefinite programming techniques.
Findings
Identified new multi-parameter PPT entangled states
Generalized the Horodecki state to 2-qudit systems
Used semidefinite programming for entanglement detection
Abstract
We provide a multi-parameter family of 2-qudit PPT entangled states which generalizes the celebrated Horodecki state in 3 x 3. The entanglement of this family is identified via semidefinite programming based on "PPT symmetric extensions" by Doherty et al.
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