Holevo bound of entropic uncertainty in Schwarzschild spacetime

Huang, Jin-Long1; Gan, Wen-Cong2,3; Xiao, Yunlong4,5; Shu, Fu-Wen2,3; Yung, Man-Hong6,7,8

2018-07-03

10.1140/epjc/s10052-018-6026-3

EUROPEAN PHYSICAL JOURNAL C   影响因子和分区

1434-6044

1434-6052

For a pair of incompatible quantum measurements, the total uncertainty can be bounded by a state-independent constant. However, such a bound can be violated if the quantum system is entangled with another quantum system (called memory); the quantum correlation between the systems can reduce the measurement uncertainty. On the other hand, in a curved spacetime, the presence of the Hawking radiation can reduce quantum correlation. The interplay of quantum correlation in the curved spacetime has become an interesting arena for studying uncertainty relations. Here we demonstrate that the bounds of the entropic uncertainty relations, in the presence of memory, can be formulated in terms of the Holevo quantity, which limits how much information can be encoded in a quantum system. Specifically, we considered examples with Dirac fields with and without spin, near the event horizon of a Schwarzschild black hole, the Holevo bound provides a better bound than the previous bound based on the mutual information. Furthermore, as the memory moves away from the black hole, the difference between the total uncertainty and the new lower bound remains a constant, not depending on any property of the black hole.

SCI

英语

NI期刊

第一

Science, Technology and Innovation Commission of Shenzhen Municipality[ZDSYS20170303165926217] ; Science, Technology and Innovation Commission of Shenzhen Municipality[JCYJ20170412152620376]

Physics

Physics, Particles & Fields

WOS:000438110400004

SPRINGER

PHYSICS

Web of Science

1.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
2.Nanchang Univ, Dept Phys, 999 Xue Fu Ave, Nanchang 330031, Jiangxi, Peoples R China
3.Nanchang Univ, Ctr Relativist Astrophys & High Energy Phys, 999 Xue Fu Ave, Nanchang 330031, Jiangxi, Peoples R China
4.Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada
5.Univ Calgary, Inst Quantum Sci & Technol, Calgary, AB T2N 1N4, Canada
6.Southern Univ Sci & Technol, Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
7.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
8.Southern Univ Sci & Technol, Shenzhen Key Lab Quantum Sci & Engn, Shenzhen 518055, Peoples R China

Huang, Jin-Long,Gan, Wen-Cong,Xiao, Yunlong,et al. Holevo bound of entropic uncertainty in Schwarzschild spacetime[J]. EUROPEAN PHYSICAL JOURNAL C,2018,78(7).

Huang, Jin-Long,Gan, Wen-Cong,Xiao, Yunlong,Shu, Fu-Wen,&Yung, Man-Hong.(2018).Holevo bound of entropic uncertainty in Schwarzschild spacetime.EUROPEAN PHYSICAL JOURNAL C,78(7).

Huang, Jin-Long,et al."Holevo bound of entropic uncertainty in Schwarzschild spacetime".EUROPEAN PHYSICAL JOURNAL C 78.7(2018).