Classification of bi-qutrit positive partial transpose entangled edge states by their ranks
Seung-Hyeok Kye, Hiroyuki Osaka
TL;DR
This paper constructs specific $3\otimes 3$ PPT entangled edge states with maximal ranks to complete their classification by types, also providing counterexamples to previous claims.
Contribution
It introduces new examples of $3\otimes 3$ PPT entangled edge states with maximal ranks, advancing the classification of such states.
Findings
Constructed $3\otimes 3$ PPT entangled edge states with ranks 8 and 6
Provided counterexamples to existing literature claims
Completed the classification of $3\otimes 3$ PPT entangled edge states
Abstract
We construct PPT entangled edge states with maximal ranks, to complete the classification of PPT entangled edge states by their types. The ranks of the states and their partial transposes are 8 and 6, respectively. These examples also disprove claims in the literature.
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