On the maximum purity of absolutely separable bipartite states
Mathematical Physics
2025-10-23 v1 Information Theory
Functional Analysis
math.IT
math.MP
Quantum Physics
Abstract
In this study, we investigate the problem of determining the maximum purity for absolutely separable and absolutely PPT quantum states. From the geometric viewpoint, this problem is equivalent to asking for the exact Euclidean radius of the smallest ball around the maximally mixed state that encompasses the set of all absolutely separable or absolutely PPT states. Our results provide an analytic solution for two qubit states. Based on numerical computation, we propose a conjectured maximum purity for absolutely separable qubit-qudit states and absolutely PPT qutrit-qudit states.
Keywords
Cite
@article{arxiv.2510.19508,
title = {On the maximum purity of absolutely separable bipartite states},
author = {Hoang Phi Dung and Vu The Khoi},
journal= {arXiv preprint arXiv:2510.19508},
year = {2025}
}