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On the maximum purity of absolutely separable bipartite states
Hoang Phi Dung, Vu The Khoi·October 22, 2025
Mathematical Physicscs.ITmath.FAQuantum Physics
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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.