Quantum coherence and geometric quantum discord

Hu, Ming‐Liang; Hu, Xueyuan; Wang, Jieci; Peng, Yi; Zhang, Yu-Ran; Fan, Heng

doi:10.1016/j.physrep.2018.07.004

Cited by 329 publications

(366 citation statements)

References 302 publications

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“…[27] To discuss the relationship between the entropic uncertainty and the quantum correlation, we employ trace norm measurement-induced nonlocality [28] as the measure of quantum correlation. Quantum correlation is beyond entanglement which plays key role in quantum information field.…”

Section: Preliminariesmentioning

confidence: 99%

Entropic Uncertainty in Neutrino and Meson Systems

Huang

2019

Annalen der Physik

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The dynamics of quantum-memory-assisted entropic uncertainty for the closed neutrino system in the context of two flavor oscillations and the meson system within the framework of open quantum system are investigated. It is found that the entropic uncertainty exists in close relation with the quantum correlation, and growing quantum correlation can decrease the uncertainty. The oscillatory behaviors of entropic uncertainty in neutrino system brought about by neutrino oscillating property are different from the decaying behaviors of entropic uncertainty in meson system induced by the meson decaying nature. In addition, the entropic uncertainty is always equal to its lower bound in the two subatomic systems. This study would throw light on the particle behavior characteristics of high energy physics, and may be useful to the tasks of quantum information-processing implemented with subatomic system since the uncertainty principle plays vital role in quantum information science and technology.

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Section: Preliminariesmentioning

confidence: 99%

Entropic Uncertainty in Neutrino and Meson Systems

Huang

2019

Annalen der Physik

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“…Quantum coherence is an important feature in quantum physics and is of practical significance in quantum computation and quantum communication [1][2][3]. The formulation of the resource theory of coherence was initiated in Ref.…”

Section: Introductionmentioning

confidence: 99%

Coherence concurrence for X states

Zhao

Wang

et al. 2020

Quantum Inf Process

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We study the properties of coherence concurrence and present a physical explanation analogous to the coherence of assistance. We give an optimal pure state decomposition which attains the coherence concurrence for qubit states. We prove the additivity of coherence concurrence under direct sum operations in another way. Using these results, we calculate analytically the coherence concurrence for X states and show its optimal decompositions. Moreover, we show that the coherence concurrence is exactly twice the convex roof extended negativity of the Schmidt correlated states, thus establishing a direct relation between coherence concurrence and quantum entanglement.

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“…Entanglement and coherence represent two crucial natural properties which are widely applied to quantum information processing and computation [1]. For a physical system, commonly used entanglement measures mainly consider correlations between their subsystems, whereas we usually think the physical system as a whole in the research of coherence omitting its structure [2]. Entanglement as one of earlier resources is a crucial ingredient for various quantum information processing protocols [3], such as remote state preparation [4,5], quantum teleportation [6], super-dense coding [7] and so on.…”

Section: Introductionmentioning

confidence: 99%

Universal complementarity between coherence and intrinsic concurrence for two-qubit states

et al. 2019

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Entanglement and coherence are two essential quantum resources for quantum information processing. A natural question arises of whether there is a direct link between them. In this work, we propose a definition of intrinsic concurrence for two-qubit states. Although the intrinsic concurrence is not a measure of entanglement, it embodies the concurrence of four pure states which are members of a special pure state ensemble for an arbitrary two-qubit state. And we show that intrinsic concurrence is always complementary to first-order coherence. In fact, this relation is an extension of the complementary relation satisfied by two-qubit pure states. Interestingly, we apply the complementary relation in some composite systems composed by a single-qubit state coupling with four typical noise channels respectively, and discover their mutual transformation relation between concurrence and first-order coherence. This universal complementarity provides reliable theoretical basis for the interconversion of the two important quantum resources.

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Quantum coherence and geometric quantum discord

Cited by 329 publications

References 302 publications

Entropic Uncertainty in Neutrino and Meson Systems

Entropic Uncertainty in Neutrino and Meson Systems

Coherence concurrence for X states

Universal complementarity between coherence and intrinsic concurrence for two-qubit states

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