Tripartite Entanglement and Quantum Correlation

• URL: http://arxiv.org/abs/2103.02983v3
• Date: Tue, 11 May 2021 02:48:34 GMT
• Title: Tripartite Entanglement and Quantum Correlation
• Authors: Xingyu Guo and Chen-Te Ma
• Abstract summary: The violation of Mermin's inequality is not a proper diagnosis due to the non-monotonic behavior. Each classification quantifies Quantum Entanglement by the total concurrence.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We provide an analytical tripartite-study from the generalized $R$-matrix. It provides the upper bound of the maximum violation of Mermin's inequality. For a generic 2-qubit pure state, the concurrence or $R$-matrix characterizes the maximum violation of Bell's inequality. Therefore, people expect that the maximum violation should be proper to quantify Quantum Entanglement. The $R$-matrix gives the maximum violation of Bell's inequality. For a general 3-qubit state, we have five invariant entanglement quantities up to local unitary transformations. We show that the five invariant quantities describe the correlation in the generalized $R$-matrix. The violation of Mermin's inequality is not a proper diagnosis due to the non-monotonic behavior. We then classify 3-qubit quantum states. Each classification quantifies Quantum Entanglement by the total concurrence. In the end, we relate the experiment correlators to Quantum Entanglement.

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