Quantum correlation via quantum coherence

Abstract

Quantum correlation includes quantum entanglement and quantum discord. Both entanglement and discord have a common necessary condition--------quantum coherence or quantum superposition. In this paper, we attempt to give an alternative understanding of how quantum correlation is related to quantum coherence. We divide the coherence of a quantum state into several classes and find the complete coincidence between geometric (symmetric and asymmetric) quantum discords and some particular classes of quantum coherence. We propose a revised measure for total coherence and find that this measure can lead to a symmetric version of geometric quantum correlation which is analytic for two qubits. In particular, this measure can also arrive at a monogamy equality on the distribution of quantum coherence. Finally, we also quantify a remaining type of quantum coherence and find that for two qubits it is directly connected with quantum nonlocality.

20 pages, 1 figure. To appear Quant. Inf. Proc

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Cited by in corpus (8)

• Quantum correlation measure in arbitrary bipartite systems
• Environment-induced quantum coherence spreading of a qubit
• Quantum correlations in qutrit-qutrit systems under local quantum noise channels
• Monogamy and trade-off relations for correlated quantum coherence
• Non-monotonicity of trace distance under tensor products
• Analytically Computable Symmetric Quantum Correlations
• Distribution of Standard deviation of an observable among superposed states
• Optimal Photon blockade on the maximal atomic coherence