Uncertainty-induced quantum nonlocality

Wu, Shunan; Zhang, Jun; Yu, Chang-shui; Song, He-Shan

doi:10.1016/j.physleta.2013.11.047

Cited by 91 publications

(49 citation statements)

References 46 publications

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“…While the hierarchy between the negativity and the skew-information quantifiers is not reported explicitly. The skew-information quantifiers reduce to entanglement measure for uncorrelated states 53,61 . It is well known that the entanglement measures have ordering difficulties 68 .…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Uncertainty induced non-locality. Similarly, based on the skew information quantity, the UIN can be defined using the following expression 53 ,…”

Section: Skew Information Measures the Skew Information Quantity Of mentioning

confidence: 99%

“…The UIN(ρ AB ) is duel of LOU(ρ AB ) , and it can be defined by the maximal skew information of the state ρ AB (t) and local observable K. As an update of the previous equation (15), it can be re-written as 53 :…”

Section: Skew Information Measures the Skew Information Quantity Of mentioning

confidence: 99%

“…Similarly, based on the skew information quantity, the UIN can be defined using the following expression 53 , The is duel of , and it can be defined by the maximal skew information of the state and local observable K . As an update of the previous equation ( 15 ), it can be re-written as 53 : The is the norm vector of the Bloch vector .…”

Section: Ncc Quantifiersmentioning

confidence: 99%

“…There are several quantifiers for the non-classical correlations such as: quantum discord, measurement-induced disturbance, measurement-induced nonlocality and geometric quantum discord 44 – 49 . It is worthwhile to mention that recently an increasing interest in quantum correlation measures based on skew information, namely local quantum uncertainty (LQU) and uncertainty-induced non-locality (UIN) 50 – 53 . Non-classical correlations between the NVD and external fields are one of the most extensively investigated subjects on the manipulation and storage of data 54 – 59 .…”

Section: Introductionmentioning

confidence: 99%

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Correlation dynamics of nitrogen vacancy centers located in crystal cavities

Abdel‐Aty

Kadry

Mohamed

et al. 2020

Sci Rep

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In this contribution, we investigate the bipartite non-classical correlations (NCCs) of a system formed by two nitrogen-vacancy (N-V) centers placed in two spatially separated single-mode nanocavities inside a planar photonic crystal (PC). The physical system is mathematically modeled by time-dependent Schrödinger equation and analytically solved. The bipartite correlations of the two N-V centers and the two-mode cavity have been analyzed by skew information, log-negativity, and Bell function quantifiers. We explore the effects of the coupling strength between the N-V-centers and the cavity fields as well as the cavity-cavity hopping constant and the decay rate on the generated correlation dynamics. Under some specific parameter values, a large amount of quantum correlations is obtained. This shows the possibility to control the dynamics of the correlations for the NV-centers and the cavity fields.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Uncertainty induced non-locality. Similarly, based on the skew information quantity, the UIN can be defined using the following expression 53 ,…”

Section: Skew Information Measures the Skew Information Quantity Of mentioning

confidence: 99%

Section: Skew Information Measures the Skew Information Quantity Of mentioning

confidence: 99%

Section: Ncc Quantifiersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Correlation dynamics of nitrogen vacancy centers located in crystal cavities

Abdel‐Aty

Kadry

Mohamed

et al. 2020

Sci Rep

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Analytically Computable Symmetric Quantum Correlations

Zhang

Yang

2019

Annalen der Physik

Self Cite

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One of the greatest challenges in developing the resource theory of a quantum feature is to establish an analytically computable quantifier, which directly limits the practicability of such quantifiers. Here, analytic quantifiers of both the symmetric quantum discord (SQD) and the symmetric measurement-induced nonlocality (SMIN) in a bipartite system of qubits are studied on the basis of the quantum skew information. It is shown that the SMIN of any two-qubit system and the SQD of bipartite "X"-type states and block-diagonal states can be analytically determined. In addition, the SQD and the SMIN are invariant with an attached quantum state. The validity of our analytical expressions is further illustrated numerically on the basis of several randomly generated density matrices.

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Two‐Magnon Non‐Locality and Coherence Induced by an Open Microwave Cavity: Generation and Robustness

Mohamed

Eleuch

2022

Annalen der Physik

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The generation and robustness of two-magnon non-locality and coherence dynamics induced by an open microwave field cavity are investigated in this work. The studied system consists of a two-sublattice ferrimagnet coupled to a microwave field within an open cavity through its magnetic field component. The robustness of the two-magnons non-locality dynamics is analyzed using various non-locality and coherence measures (namely, uncertainty-induced non-locality [UIN], maximal Bell function, and log-negativity entanglement [L-NE]) in the presence of the spontaneous emission and the electromagnetic-wave dissipation. It is shown that photon-magnon couplings, two-magnon couplings, and dissipation all have an impact on the dynamical aspect of two-magnon non-locality and coherence. This work reveals that the two-magnon non-locality and coherence can be generated. For an initial maximal correlated two-magnon state, the initial UIN non-locality is shown to be more resilient than the maximum Bell function and log-negativity. The amplitudes of the two-magnon non-locality quantifiers decline as a result of the two-magnon coupling. The Bell non-locality and L-NE are reduced via spontaneous emission and dissipation, but the two-magnon UIN-coherence is preserved. These findings contribute to a better understanding of such dynamics and may shed light on measurement estimation in open quantum systems.

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Uncertainty-induced quantum nonlocality

Cited by 91 publications

References 46 publications

Correlation dynamics of nitrogen vacancy centers located in crystal cavities

Correlation dynamics of nitrogen vacancy centers located in crystal cavities

Analytically Computable Symmetric Quantum Correlations

Two‐Magnon Non‐Locality and Coherence Induced by an Open Microwave Cavity: Generation and Robustness

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