Author

Wei Song

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Preprint Oct 2026

Complete Classification of Reversible Entanglement Transformations of Two Qutrits

Suppose Alice and Bob can transform one shared mixed state into another by local operations and classical communication, and can also recover the first state from the second. What can change in such a conversion? We give a complete classification of reversible conversions between two-qutrit states. We consider exact de...

Wei Song, Xiao-Lan Zong, Ming Yang · 0 citations

Preprint Sep 2026

Supporting functionals and singular boundary geometry of two-qubit entanglement of formation

We give a criterion for the existence of a global supporting affine functional for the entanglement of formation at an entangled two-qubit state. It exists if and only if the spin-flip bilinear form is nondegenerate on the support of the state, or equivalently, if the last concurrence root associated with the support i...

Wei Song, Xiao-Lan Zong · 0 citations

Preprint Sep 2026

Five-Dimensional Compatibility and Stratified Local-Unitary Structure of Pure Three-Qubit States

We investigates the joint compatibility problem of the three pairwise concurrences, the three-tangle, and the Kempe invariant in arbitrary pure three-qubit states, and gives necessary and sufficient conditions for these five quantities to be simultaneously realizable by the same pure state. This five-dimensional compat...

Wei Song, Xiao-Lan Zong, Ming Yang · 1 citation