Interrelation between Partial Coherence and Quantum Correlations

Abstract

Both coherence and entanglement stem from the superposition principle, capture quantumness of a physical system, and play a central role in quantum physics. In a multipartite quantum system, coherence and quantum correlations are closely connected. In particular, it has been established that quantum coherence of a bipartite state is an important resource for its conversion to entanglement [A. Streltsov {\it et al.}, Phys. Rev. Lett. {\bf 115}, 020403 (2015)] and to quantum discord [J. Ma {\it et al}., Phys. Rev. Lett. {\bf 116}, 160407 (2016)]. We show here that there is a very close association between partial coherence introduced by Luo and Sun [S. Luo and Y. Sun, Phys. Rev. A {\bf 96}, 022136 (2017)] and quantum correlations (quantified by quantum discord) in both directions. Furthermore, we propose families of coherence measures in terms of quantum correlations and quantum Fisher information.

6 pages, 2 figures, close to published version

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Cited by in corpus (12)

• Partial coherence and quantum correlation with fidelity and affinity distances
• Protecting quantum Fisher information in correlated quantum channels
• Quantum coherence, quantum Fisher information and teleportation in the Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer with magnetic impurity
• Quantifying coherence in terms of Fisher information
• Average skew information-based coherence and its typicality for random quantum states
• Skew information-based coherence generating power of quantum channels
• Geometry of skew information-based quantum coherence
• Partial coherence versus entanglement
• Necessity for quantum coherence of nondegeneracy in energy flow
• Characterizing entanglement using quantum discord over state extensions
• Tighter superadditivity relations for $l_1$-norm coherence measure
• Quantum partial coherence measures constructed from Fisher information