A note on quantum Bell nonlocality and quantum entanglement for high dimensional quantum systems

TL;DR

This paper explores the relationship between Bell nonlocality and quantum entanglement in high-dimensional systems, establishing bounds for Bell operator expectations based on entanglement concurrence.

Contribution

It provides a quantitative relationship between Bell nonlocality and entanglement for high-dimensional pure states, with bounds governed by concurrence.

Findings

Derived bounds for Bell operator expectation values based on entanglement concurrence.

Established a quantitative relationship between Bell nonlocality and entanglement in high dimensions.

Abstract

We study the Bell nonlocality of high dimensional quantum systems based on quantum entanglement. A quantitative relationship between the maximal expectation value B of Bell operators and the quantum entanglement concurrence C is obtained for even dimension pure states, with the upper and lower bounds of B governed by C.