Springer Berlin Heidelberg
Berlin/Heidelberg
Springer
10052
10.1007/10052.1434-6052
1434-6044
1434-6052
30312819
The European Physical Journal C
Particles and Fields
Eur. Phys. J. C
Physics
Elementary Particles, Quantum Field Theory
Nuclear Physics, Heavy Ions, Hadrons
Quantum Field Theories, String Theory
Measurement Science and Instrumentation
Astronomy, Astrophysics and Cosmology
Nuclear Energy
Physics and Astronomy
80
80
12
8
8
112
2020
10
2
2020
8
2020
EDP Sciences, Societa Italiana di Fisica (SIF) and Springer-Verlag GmbH, DE
2020
8283
1912.00557
10.1140/epjc/s10052-020-8283-1
700
11
Inequalities of holographic entanglement of purification from bit threads
02
Physical Sciences
0206
Quantum Physics
Regular Article - Theoretical Physics
1
11
2020
7
27
2020
2
11
2020
7
26
2020
8
5
National Natural Science Foundation of China
11563006
11565019
National Natural Science Foundation of China
11665016
11975116
Jiangxi Science Foundation for Distinguished Young Scientists
20192BCB23007
The Author(s)
2020
Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3
Dong-Hui
Du
donghuiduchn@gmail.com
Fu-Wen
Shu
shufuwen@ncu.edu.cn
Kai-Xin
Zhu
kaixinzhuabc@gmail.com
0000 0001 2182 8825
grid.260463.5
Department of Physics
Nanchang University
Nanchang
330031
China
0000 0001 2182 8825
grid.260463.5
Center for Relativistic Astrophysics and High Energy Physics
Nanchang University
Nanchang
330031
China
grid.268415.c
Center for Gravitation and Cosmology
Yangzhou University
Yangzhou
China
Abstract
There are increasing evidences that quantum information theory has come to play a fundamental role in quantum gravity especially the holography. In this paper, we show some new potential connections between holography and quantum information theory. Particularly, by utilizing the multiflow description of the holographic entanglement of purification (HEoP) defined in relative homology, we obtain several new inequalities of HEoP under a max multiflow configuration. Each inequality derived for HEoP has a corresponding inequality of the holographic entanglement entropy (HEE). This is further confirmed by geometric analysis. In addition, we conjecture that, based on flow considerations, each property of HEE that can be derived from bit threads may have a corresponding property for HEoP that can be derived from bit threads defined in relative homology.