5 citations · 5 across the 8 of their papers we have counts for
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Pairwise detection, chiral conversion: Resource theory of quantum multistates
Yuan-Hong Tao, Yu-Xin Wu, Bing Xie +1
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…
Bargmann Invariants Are Insufficient for Complete Local-Unitary Orbit Discrimination
Lin Zhang, Bing Xie
Bargmann invariants constructed from a bipartite density operator and its two lifted marginals are polynomial invariants of local-unitary conjugation. We determine the precise info…
Marginal spectral distributions on regular bipartite unitary orbits
Lin Zhang
Fix the spectrum of a bipartite density matrix and randomize its eigenbasis according to Haar measure. We study the probability distributions induced on the spectra of the two marg…
Revisiting the invariant ring of two-qubit mixed states
Bing Xie, Lin Zhang
Local unitary equivalence serves as the cornerstone for classifying entanglement in bipartite quantum systems. Mathematically, it reduces to the study of polynomial invariants of t…
Circulant quantum channels and its applications
Bing Xie, Lin Zhang
This note introduces a family of circulant quantum channels -- a subclass of the mixed-permutation channels -- and investigates its key structural and operational properties. We sh…
A Survey of Bargmann Invariants: Geometric Foundations and Applications
Lin Zhang, Bing Xie
Bargmann invariants, a class of unitary-invariant quantities arising from the overlaps of quantum state vectors, provide a profound and unifying framework for understanding the rel…