DeepAI AI Chat
Log In Sign Up

Monotonicity of skew information and its applications in quantum resource theory

by   Weijing Li, et al.
University of the Chinese Academy of Sciences

We give an alternative proof of skew information via operator algebra approach and show its strong monotonicity under particular quantum TPCP maps. We then formulate a family of new resource measure if the resource can be characterized by a resource destroying map and the free operation should be also modified. Our measure is easy-calculating and applicable to the coherence resource theory as well as quantum asymmetry theory. The operational interpretation need to be further investigated.


A new resource measure with respect to resource destroying maps

We formulated a family of new resource measure if the resource can be ch...

Symmetric distinguishability as a quantum resource

We develop a resource theory of symmetric distinguishability, the fundam...

Extendibility limits the performance of quantum processors

Resource theories in quantum information science are helpful for the stu...

Cone-Restricted Information Theory

The max-relative entropy and the conditional min-entropy it induces have...

Efficiently computable bounds for magic state distillation

Magic state manipulation is a crucial component in the leading approache...

Automatic Amortized Resource Analysis with the Quantum Physicist's Method

We present a novel method for working with the physicist's method of amo...

Universal resources for quantum computing

Unravelling the source of quantum computing power has been a major goal ...