10 papers · 1 filter
Schmidt-number robustness as a unified quantifier of high dimensional entanglement in Buscemi nonlocality
Xian Shi
High-dimensional entanglement, captured by the Schmidt number, underpins advantages in quantum information tasks, yet a unified resource-theoretic description across different Busc…
Quantifying Coherence and Genuine Multipartite Entanglement : A Framework Based on Witness Operators and Frobenius Norm Distance
Mingyu Liu, Xian Shi
Quantifying the entanglement and coherence of quantum systems is a topic of significant theoretical and practical interest. In this paper, we propose a method to evaluate lower bou…
The Deimginarity Cost of Quantum States
Xian Shi
Here we address a task denoted as deimaginarity, which is to transform a state into a real state with the aid of random covariant-free unitary operations. We consider the minimum c…
Entanglement Polygon Inequalities for A Class of Mixed States
Xian Shi
The study on the entanglement polygon inequality of multipartite systems has attracted much attention. However, most of the results are on pure states. Here we consider the propert…
The entanglement criteria based on equiangular tight frames
Xian Shi
Finite tight frames play an important role in miscellaneous areas, including quantum information theory. Here we apply a class of tight frames, equiangular tight frames, to address…
A family of separability criteria and lower bounds of concurrence
Xian Shi, Yashuai Sun
The problem on detecting the entanglement of a bipartite state is significant in quantum information theory. In this article, we apply the Ky Fan norm to the revised realignment ma…