6 papers
Quantum Probabilistic Local Differential Privacy: Structural Properties and Sample Complexity Bounds
Xian Shi
Differential privacy provides a rigorous framework for quantifying privacy leakage in data analysis, while its quantum extensions have become increasingly relevant with the develop…
Erasing, Converting, and Communicating: The Power of Resource-Nongenerating Operations
Xian Shi
We investigate resource nongenerating operations in both static and dynamical quantum resource theories. For the static scenarios, we derive a sufficient condition for state transf…
Probabilistic Entanglement Distillation: Error Exponents via Postselected Quantum Hypothesis Testing Against Separable States
Xian Shi
Entanglement distillation is a fundamental task in quantum entanglement theory. While recent progress has clarified limitations of probabilistic transformations in general resource…
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…