Symbolic Computation Group

Entanglement, quantum steering and nonlocality are distinct quantum correlations which are the resources behind various of quantum information and quantum computation applications. However, a central question of determining the precise quantitative relation among them is still largely unresolved.

Here, with the help of computer algebra systems, we present a mapping criterion between Bell nonlocality and quantum steering, as well as a mapping criterion between quantum steering and quantum entanglement, starting from the fundamental concepts of quantum correlations. Precise quantitative mapping criteria are derived analytically. Such mapping criteria are independent of the form of the state. In particular, they cover several previous well-known research results which are only special cases in our simple mapping criteria.

This is a joint work with Changliang Ren, Xiang-Jun Ye, and Jingling Chen.