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

Wang, Dong; Shi, Wei‐Nan; Hoehn, Ross D.; Ming, Fei; Sun, Wen; Kais, Sabre; Liu, Ye

doi:10.1002/andp.201800080

Cited by 50 publications

(24 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 corresponding Kraus operators are

E_{0}^{n} = \sqrt{1 - p} 1

and

E_{1}^{n} = \sqrt{p} σ_{n}

, with p being the occurrence probability of the noise and

n = 1, 2, 3

denoting bit‐flip, bit‐phase‐flip, and phase‐flip channels, respectively. Here, the bit‐flip and phase‐flip channels cannot break SPMC condition, which has been explored and revealed by Wang et al . However, when the bit‐phase‐flip noise takes place, the SPMC condition will not be satisfied.…”

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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“…There has been significant progress regarding the experimental aspects of EUR, [11][12][13] which has promoted the development of applications in quantum information science. [14][15][16][17] Remarkably, the techniques of entanglementassisted EUR have been used widely in the context of quantum information and computation, such as quantum key distribution, [18,19] quantum cryptography, [20,21] EPR steering, [22] entanglement witness, [11,12,23] quantum teleportation, [24] and quantum metrology. [25][26][27] Additionally, the EUR can yield promising results when considering the effect of the environment.…”

Section: Introductionmentioning

confidence: 99%

Measurement Uncertainty and Its Connection to Quantum Coherence in an Inertial Unruh–DeWitt Detector

2020

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The dynamic characteristics of measured uncertainty and quantum coherence are explored for an inertial Unruh-DeWitt detector model in an expanding de Sitter space. Using the entropic uncertainty relation, the uncertainty of interest is correlated with the evolving time t, the energy level spacing , and the Hubble parameter H. The investigation shows that, for short time, a strong energy level spacing and small Hubble parameter can result in a relatively small uncertainty. The evolution of quantum coherence versus the evolving time and Hubble parameter, which varies almost inversely to that of the uncertainty, is then discussed, and the relationship between uncertainty and the coherence is explicitly derived. With respect to the l 1 norm of coherence, it is found that the environment for the quantum system considered possesses a strong non-Markovian property. The dynamic behavior of coherence non-monotonously decreases with the growth of evolving time. The dynamic features of uncertainty and coherence in the expanding space with those in flat space are also compared. Furthermore, quantum weak measurement is utilized to effectively reduce the magnitude of uncertainty, which offers realistic and important support for quantum precision measurements during the undertaking of quantum tasks.

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

Cited by 50 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

Measurement Uncertainty and Its Connection to Quantum Coherence in an Inertial Unruh–DeWitt Detector

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