All multipartite entanglements are quantum coherences in locally distinguishable bases

• URL: http://arxiv.org/abs/2304.05249v1
• Date: Tue, 11 Apr 2023 14:37:35 GMT
• Title: All multipartite entanglements are quantum coherences in locally distinguishable bases
• Authors: Ahana Ghoshal, Swati Choudhary, and Ujjwal Sen
• Abstract summary: We find that the m-separability and k-partite entanglement of a multipartite quantum system is correlated with quantum coherence of the same with respect to complete orthonormal bases. We show that the geometric measure of m-inseparable entanglement of a multipartite quantum state is equal to the square of minimum fidelity-based quantum coherence of the state with respect to complete orthonormal bases.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We find that the m-separability and k-partite entanglement of a multipartite quantum system is correlated with quantum coherence of the same with respect to complete orthonormal bases, distinguishable under local operations and classical communication in certain partitions. In particular, we show that the geometric measure of m-inseparable entanglement of a multipartite quantum state is equal to the square of minimum fidelity-based quantum coherence of the state with respect to complete orthonormal bases, that are locally distinguishable in a partition into m-parties.

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