Complementary relation of quantum coherence and quantum correlations in multiple measurements

Abstract

Quantum coherence and quantum correlations lie in the center of quantum information science, since they both are considered as fundamental reasons for significant features of quantum mechanics different from classical mechanics. We present a group of complementary relations for quantum coherence and quantum correlations; specifically, we focus on thermal discord and conditional information in scenarios of multiple measurements. We show that the summation of quantum coherence quantified in different bases has a lower bound, resulting from entropic uncertainty relations with multiple measurements. Similar results are also obtained for thermal discord and for post-measurement conditional information with multiple measurements in a multipartite system. These results indicate the general applications of the uncertainty principle to various concepts of quantum information.

7 pages

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Cited by in corpus (9)

• Quantum Coherence as a Resource
• Experimental progress on quantum coherence: detection, quantification, and manipulation
• Uncertainty relations for quantum coherence with respect to mutually unbiased bases
• Distribution of quantum coherence and quantum phase transition in the Ising system
• Generalized Wigner-Yanase Skew Information and the Affiliated Inequality
• Entanglement-Coherence and Discord-Coherence analytical relations for X states
• Generalized diffusion of quantum Brownian motion
• Complementary Resource Relation of Concurrence and Roughness for atwo Qubits State
• Uncertainty and certainty relations for quantum coherence with respect to design-structured POVMs