126 citations · 892 across the 24 of their papers we have counts for
6 papers · 1 filter
A chain rule for the quantum relative entropy
Kun Fang, Omar Fawzi, Renato Renner +1
The chain rule for the classical relative entropy ensures that the relative entropy between probability distributions on multipartite systems can be decomposed into a sum of relati…
Geometric Rényi Divergence and its Applications in Quantum Channel Capacities
Kun Fang, Hamza Fawzi
We present a systematic study of the geometric Rényi divergence (GRD), also known as the maximal Rényi divergence, from the point of view of quantum information theory. We show tha…
No-Go Theorems for Quantum Resource Purification
Kun Fang, Zi-Wen Liu
The manipulation of quantum "resources" such as entanglement, coherence and magic states lies at the heart of quantum science and technology, empowering potential advantages over c…
The Complementary Information Principle of Quantum Mechanics
Yunlong Xiao, Kun Fang, Gilad Gour
The uncertainty principle bounds the uncertainties about incompatible measurements, clearly setting quantum theory apart from the classical world. Its mathematical formulation via…
The sum-of-squares hierarchy on the sphere, and applications in quantum information theory
Kun Fang, Hamza Fawzi
We consider the problem of maximizing a homogeneous polynomial on the unit sphere and its hierarchy of Sum-of-Squares (SOS) relaxations. Exploiting the polynomial kernel technique,…
One-shot entanglement distillation beyond local operations and classical communication
Bartosz Regula, Kun Fang, Xin Wang +1
We study the task of entanglement distillation in the one-shot setting under different classes of quantum operations which extend the set of local operations and classical communic…