7 papers
Uhlmann's theorem for measured divergences
Kun Fang, Hamza Fawzi, Omar Fawzi
Uhlmann's theorem is a cornerstone of quantum information theory, stating that for any quantum state and any state , there exists an extension of s…
Exponential Analysis for Entanglement Distillation
Zhiwen Lin, Ke Li, Kun Fang
Historically, the focus in entanglement distillation has predominantly been on the distillable entanglement, and the framework assumes complete knowledge of the initial state. In t…
Adversarial quantum channel discrimination
Kun Fang, Hamza Fawzi, Omar Fawzi
We introduce a new framework for quantum channel discrimination in an adversarial setting, where the tester plays against an adversary. We show that in asymmetric hypothesis testin…
One-shot distillation with constant overhead using catalysts
Kun Fang, Zi-Wen Liu
Quantum resource distillation is a fundamental task in quantum information science and technology. Minimizing the overhead of distillation is crucial for the realization of quantum…
Estimating quantum relative entropies on quantum computers
Yuchen Lu, Kun Fang
Quantum relative entropy, a quantum generalization of the renowned Kullback-Leibler divergence, serves as a fundamental measure of the distinguishability between quantum states and…
Efficient approximation of regularized relative entropies and applications
Kun Fang, Hamza Fawzi, Omar Fawzi
The quantum relative entropy is a fundamental quantity in quantum information science, characterizing the distinguishability between two quantum states. However, this quantity is n…