Converting quantum coherence to genuine multipartite entanglement and nonlocality

Abstract

We study the relations between quantum coherence and quantum nonlocality, genuine quantum entanglement and genuine quantum nonlocality. We show that the coherence of a qubit state can be converted to the nonlocality of two-qubit states via incoherent operations. The results are also generalized to qudit case. Furthermore, rigorous relations between the quantum coherence of a single-partite state and the genuine multipartite quantum entanglement, as well as the genuine three-qubit quantum nonlocality are established.

arXiv comment5 pages

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Cited by in corpus (16)

• Quantum Discord for multiqubit Systems
• Quantifying coherence in terms of Fisher information
• Average skew information-based coherence and its typicality for random quantum states
• Resource conversion between operational coherence and multipartite entanglement in many-body systems
• Geometry of skew information-based quantum coherence
• All entangled states are quantum coherent with locally distinguishable bases
• Entanglement resource theory of quantum channel
• Coherence measures induced by norm functions
• Generation of minimum energy entangled states
• Coherence of assistance and assisted maximally coherent states
• Interconversion between block coherence and multipartite entanglement in many-body systems
• Coordinately Assisted Distillation of Quantum Coherence in Multipartite System
• Tighter superadditivity relations for $l_1$-norm coherence measure
• Unconditionally superposition-robust entangled state in all multiparty quantum systems
• Quantum Coherence Bounds the Distributed Discords
• Classifying coherence with a finite set of witnesses