Author

Bing Xie

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Preprint Oct 2026

Pairwise detection, chiral conversion: Resource theory of quantum multistates

Basis-independent coherence of a quantum multistate is fixed by whether its constituent states commute, and for qubits it is detected by pairwise state overlaps alone. What governs its deterministic transformation has been open. We give the exact resource-conversion theory of quantum multistates under common commutativ...

Yuan-Hong Tao, Yu-Xin Wu, Bing Xie et al. · 0 citations

Preprint Sep 2026

Bargmann Invariants Are Insufficient for Complete Local-Unitary Orbit Discrimination

Bargmann invariants constructed from a bipartite density operator and its two lifted marginals are polynomial invariants of local-unitary conjugation. We determine the precise information encoded in these invariants. Whenever one subsystem is a qubit, the ordinary marginal-word family determines the full spectrum of th...

Lin Zhang, Bing Xie · 0 citations

Preprint Jul 2026

Revisiting the invariant ring of two-qubit mixed states

Local unitary equivalence serves as the cornerstone for classifying entanglement in bipartite quantum systems. Mathematically, it reduces to the study of polynomial invariants of the density matrix under the action of local unitary groups. The collection of all such polynomial invariants forms a ring, known as the inva...

Bing Xie, Lin Zhang · 0 citations