5 papers
Error Exponents of Probabilistic Quantum Resource Distillation
Xian Shi
In this manuscript, we establish a unified framework for analyzing the conditional error exponents of probabilistic resource distillation under approximately resource-nongenerating…
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…
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…
Monogamy Relations for the Generalized W Class
Xian Shi
Here we investigate the monogamy relations for the generalized W class. Monogamy inequalities for the generalized W class in terms of the -th () power of the concurr…
The stabilizer for -qubit symmetric states
Xian Shi
The stabilizer group for an -qubit state is the set of all invertible local operators (ILO) $ g_i\in \mathcal{GL}(2,\mathbb{…