5 papers
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…
One application of Duistermaat-Heckman measure in quantum information theory
Lin Zhang, Xiaohan Jiang, Bing Xie
While the exact separability probability of 8/33 for two-qubit states under the Hilbert-Schmidt measure has been reported by Huong and Khoi [\href{https://doi.org/10.1088/1751-8121…
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…
Bargmann-invariant framework for local unitary equivalence and entanglement
Lin Zhang, Bing Xie, Yuanhong Tao
Research on quantum states often focuses on the correlation between nonlocal effects and local unitary invariants, among which local unitary equivalence plays a significant role in…