The quantum entropic uncertainty relation and entanglement witness in the two-atom system coupling with the non-Markovian environments

Zou, Hong-Mei; Mao-Fa, Fang; Yang, Bai-Yuan; Guo, You-neng; He, Wei; Zhang, Shiyang

doi:10.1088/0031-8949/89/11/115101

Cited by 80 publications

(46 citation statements)

References 34 publications

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“…[29,30] Additionally, some authors have made many efforts to improve the lower bounds in, [31][32][33][34][35][36] and the uncertainty inequality has been expanded to multipartite systems [37,38] and the stronger entropic uncertainty relations for multiple measurements have been reported. [40][41][42][43][44][45][46][47] Besides, there are also some investigations on the dynamics of QMA-EUR under the noninertial system [48] and the solid-state system. Based on this consideration, it is in demand to understand how the decoherence or dissipation influences the dynamics of the measurement uncertainty.…”

Section: Introductionmentioning

confidence: 99%

Dynamical Measurement's Uncertainty in the Curved Space‐Time

2019

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The dynamical characteristics of measurement's uncertainty are investigated under two modes of Dirac field in the Garfinkle-Horowitz-Strominger dilation space-time. It shows that the Hawking effect induced by the thermal field would result in an expansion of the entropic uncertainty with increasing dilation-parameter value, as the systemic quantum coherence reduces, reflecting that the Hawking effect could undermine the systemic coherence. Meanwhile, the intrinsic relationship between the uncertainty and quantum coherence is obtained, and it is revealed that the uncertainty's bound is anti-correlated with the system's quantum coherence. Furthermore, it is illustrated that the systemic mixedness is correlated with the uncertainty to a large extent. Via the information flow theory, various correlations including quantum and classical aspects, which can be used to form a physical explanation on the relationship between the uncertainty and quantum coherence, are also analyzed. Additionally, this investigation is extended to the case of multi-component measurement, and the applications of the entropic uncertainty relation are illustrated on entanglement criterion and quantum channel capacity. Lastly, it is declared that the measurement uncertainty can be quantitatively suppressed through optimal quantum weak measurement. These investigations might pave an avenue to understand the measurement's uncertainty in the curved space-time.

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Section: Introductionmentioning

confidence: 99%

Dynamical Measurement's Uncertainty in the Curved Space‐Time

2019

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“…In practice, a physical system is remarkably susceptible to ambient environments, which may unavoidably inject decoherence effects. In this regard, it is of fundamental importance to pursue an understanding of the influence of various decoherence effects on QMA‐EUR; these effects have been shown to be nontrivial in the domain of quantum information science . Recently, Fan et al., and Jing et al have explored the dynamic characteristics of the QMA‐EUR while the particle to be measured is taken to be curved space‐time (e.g., Schwarzschild and de Sitter spaces); Huang et al .…”

Section: Introductionmentioning

confidence: 99%

Effects of Hawking Radiation on the Entropic Uncertainty in a Schwarzschild Space‐Time

et al. 2018

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The Heisenberg uncertainty principle describes a basic restriction on an observer's ability of precisely predicting the measurement of a pair of noncommuting observables, and virtually is at the core of quantum mechanics. Herein, the aim is to study the entropic uncertainty relation (EUR) under the background of a Schwarzschild black hole and its control. Explicitly, dynamical features of the measuring uncertainty via entropy are developed in a practical model where a stationary particle interacts with its surrounding environment while another particle-serving as a quantum memory reservoir-undergoes free fall in the vicinity of the event horizon of the Schwarzschild space-time. It shows higher Hawking temperatures would give rise to an inflation of the entropic uncertainty on the measured particle. This is suggestive of the fact the measurement uncertainty is strongly correlated with degree of mixing present in the evolving particles. Additionally, based on information flow theory, a physical interpretation for the observed dynamical behaviors related with the entropic uncertainty in such a genuine scenario is provided. Finally, an efficient strategy is proposed to reduce the uncertainty by non-tracing-preserved operations. Therefore, our explorations may improve the understanding of the dynamic entropic uncertainty in a curved space-time, and illustrate predictions of quantum measurements in relativistic quantum information sciences.

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“…To overcome the defect, some authors [5][6][7][8] constructed the uncertainty relation in terms of Shannon entropy, which lower bound is state independent and better reflects on the intrinsic nature of uncertainty principle. [17,18] [9,10] The uncertainty relation is of central importance to many potential applications, such as probing quantum correlation, [11,12] quantum speed limit, [13,14] quantum key distribution, [15,16] and entanglement witness.…”

Section: Introductionmentioning

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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The quantum entropic uncertainty relation and entanglement witness in the two-atom system coupling with the non-Markovian environments

Cited by 80 publications

References 34 publications

Dynamical Measurement's Uncertainty in the Curved Space‐Time

Dynamical Measurement's Uncertainty in the Curved Space‐Time

Effects of Hawking Radiation on the Entropic Uncertainty in a Schwarzschild Space‐Time

Entropic Uncertainty in Neutrino and Meson Systems

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