Uncertainty relation in Schwarzschild spacetime

Feng, Jun; Zhang, Yao-Zhong; Gould, M. D.; Fan, Heng

doi:10.1016/j.physletb.2015.02.058

Cited by 33 publications

(36 citation statements)

References 59 publications

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“…To date, there have been some authors to explore the QMA-EUR under the various types of environment noises. [52][53][54] Notably, Zhang et al [55] recently investigated the dynamics of QMA-EUR when quantum memory is located near the event horizon of Garfinkle-Horowitz-Strominger dilation (GHS-dilation) black hole. [49] Up to now, the dynamical features of correlation and entanglement have been explored in the curved space-time.…”

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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“…The Curved Space‐Time : In 2013, Feng et al . first observed the quantum‐memory‐assisted EURs in the frame of a Schwarzschild black hole.…”

Section: The Dynamical Uncertainty In Open Systems and Its Manipulationmentioning

confidence: 99%

Quantum‐Memory‐Assisted Entropic Uncertainty Relations

Wang

Ming

et al. 2019

Annalen der Physik

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Uncertainty relations take a crucial and fundamental part in the frame of quantum theory, and are bringing on many marvelous applications in the emerging field of quantum information sciences. Especially, as entropy is imposed into the uncertainty principle, entropy-based uncertainty relations lead to a number of applications including quantum key distribution, entanglement witness, quantum steering, quantum metrology, and quantum teleportation. Herein, the history of the development of the uncertainty relations is discussed, especially focusing on the recent progress with regard to quantum-memory-assisted entropic uncertainty relations and dynamical characteristics of the measured uncertainty in some explicit physical systems. The aims are to help deepen the understanding of entropic uncertainty relations and prompt further explorations for versatile applications of the relations on achieving practical quantum tasks.

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“…The value of negativity ranges from 0, for separable states, to 0.5, for maximally entangled states. Form (18), we can straightforwardly obtain [34]…”

Section: Iii2 Quantum Nonlocality As Physical Resourcementioning

confidence: 99%

Bell inequalities violation within non-Bunch–Davies states

et al. 2018

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We study the quantum nature of non-Bunch-Davies states in de Sitter space by evaluating CHSH inequality on a localized two-atom system. We show that quantum nonlocality can be generated through the Markovian evolution of two-atom, witnessed by a violation of CHSH inequality on its final equilibrium state. We find that the upper bound of inequality violation is determined by different choices of de Sitter-invariant vacua sectors. In particular, with growing Gibbons-Hawking temperature, the CHSH bound degrades monotonously for Bunch-Davies vacuum sector. Due to the intrinsic correlation of non-Bunch-Davies vacua, we find that the related violation of inequality can however drastically increase after certain turning point, and may persist for arbitrarily large environment decoherence. This implies that the CHSH inequality is useful to classify the initial quantum state of the Universe. Finally, we clarify that the witnessed intrinsic correlation of non-Bunch-Davies vacua can be utilized for quantum information applications, e.g., surpassing the Heisenberg uncertainty bound of quantum measurement in de Sitter space. arXiv:1806.08923v2 [hep-th]

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Uncertainty relation in Schwarzschild spacetime

Cited by 33 publications

References 59 publications

Dynamical Measurement's Uncertainty in the Curved Space‐Time

Dynamical Measurement's Uncertainty in the Curved Space‐Time

Quantum‐Memory‐Assisted Entropic Uncertainty Relations

Bell inequalities violation within non-Bunch–Davies states

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