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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
71/2020

On quantum nonlocality of high dimensional quantum systems

Ting-Gui Zhang, Zhengmin Jiang, Ya Xi, Xiaofen Huang, Xianqing Li-Jost and Shao-Ming Fei

Abstract

We study the nonlocality of high dimensional quantum systems based on quantum entanglement and projection. First, a quantitative relationship between the maximal expectation value $B$ of Bell operators and the quantum entanglement concurrence $C$ is obtained for even dimensional pure and mixed states, with the lower bounds of $B$ governed by $C$. Second, by projecting the high dimension bipartite and tripartite quantum states to "two-qubit" and "three-qubit" quantum states, respectively, the nonlocality of the high dimensional quantum states is revealed by the violations of Bell inequalities of the projected qubits states. If the projected qubits states violate Bell inequalities but the violation is less than certain values, there exist kinds of "hidden" nonlocality of the high dimensional states, we call it locally-preprocessed-allowed nonlocality. Examples of high dimensional isotropic states are presented to illustrate the relationship between nonlocality and locally-preprocessed-allowed nonlocality.

Received:
Jun 22, 2020
Published:
Jun 22, 2020

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Preprint
2020 Repository Open Access
Ting-Gui Zhang, Zhengmin Jiang, Ya Xi, Xiaofen Huang, Xianqing Li-Jost and Shao-Ming Fei

On quantum nonlocality of high dimensional quantum systems