10 papers
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…
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…
Quantum Channel Simulation and the Channel's Smooth Max-Information
Kun Fang, Xin Wang, Marco Tomamichel +1
We study the general framework of quantum channel simulation, that is, the ability of a quantum channel to simulate another one using different classes of codes. First, we show tha…