Holevo bound of entropic uncertainty in Schwarzschild spacetime

Huang, Jian; Gan, Wen-Cong; Xiao, Yunlong; Shu, Fu-Wen; Yung, Man‐Hong

doi:10.1140/epjc/s10052-018-6026-3

Cited by 47 publications

(42 citation statements)

References 50 publications

(30 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As reported in Ref. [37], if the quantum memory moves away from the black hole, the difference between the total uncertainty and B ploy + k QM k remains a constant, independent on the properties of the black hole.…”

Section: Discussionsupporting

confidence: 57%

Improved quantum entropic uncertainty relations

Chen

Xiao

et al. 2018

Phys. Rev. A

Self Cite

View full text Add to dashboard Cite

We study entropic uncertainty relations by using stepwise linear functions and quadratic functions. Two kinds of improved uncertainty lower bounds are constructed: the state-independent one based on the lower bound of Shannon entropy and the tighter state-dependent one based on the majorization techniques. The analytical results for qubit and qutrit systems with two or three measurement settings are explicitly derived, with detailed examples showing that they outperform the existing bounds. The case with the presence of quantum memory is also investigated.PACS numbers:

show abstract

Section: Discussionsupporting

confidence: 57%

Improved quantum entropic uncertainty relations

Chen

Xiao

et al. 2018

Phys. Rev. A

Self Cite

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

“…Heisenberg's uncertainty principle, which bounds our ability to simultaneously predict the measurement outcomes for two non‐commuting observables of a quantum particle, is one of the most remarkable features of quantum physics . With the rising of quantum information theory, entropy measurements can be exploited to quantify uncertainties naturally.…”

Section: Introductionmentioning

confidence: 99%

“…Owning to the extensive applications in the field of quantum information, such as quantum randomness, quantum key distribution, entanglement witness, and quantum cryptography, EUR attracted a lot of people's attention and many researches had been proposed to enhance the lower bound of entropy uncertainty . Among many options, Holevo bound is an effective method and has a wide range of applications …”

Section: Introductionmentioning

confidence: 99%

Tighter Bound of Entropic Uncertainty under the Unruh Effect

Ding

Shi

et al. 2020

Annalen der Physik

View full text Add to dashboard Cite

The uncertainty principle limits the ability to simultaneously predict measurement outcomes for two non‐commuting observables of a quantum particle. However, the uncertainty can be violated by considering a particle as a quantum memory correlated with the primary particle. By modeling an Unruh–Dewitt detector coupled to a massless scalar field, it is explored how the Unruh effect affects the entropic uncertainty and the tighter lower bound for a pair of entangled detectors is probed when one of them is accelerated. It is found that Unruh thermal noise really gives rise to an increase of entropic uncertainty for the given conditions since the correlation between quantum memory and the measured system is decreased. It is shown that the bound of the entropic uncertainty relations, in the presence of memory, can be formulated by introducing the Holevo quantity and mutual information. It is also noticed that Adabi's lower bound is tighter than that of Berta, and just the optimal bound under the Unruh effect. Moreover, it is shown that Berta's lower bound is unrelated to the choice of complementary observables, while the optimal Adabi's lower bound is dependent on the measurement choice. It is worth mentioning that the investigations may offer a better understanding of the entropic uncertainty in a relativistic motion.

show abstract

Holevo bound of entropic uncertainty in Schwarzschild spacetime

Cited by 47 publications

References 50 publications

Improved quantum entropic uncertainty relations

Improved quantum entropic uncertainty relations

Dynamical Measurement's Uncertainty in the Curved Space‐Time

Tighter Bound of Entropic Uncertainty under the Unruh Effect

Contact Info

Product

Resources

About