scholarly journals Entropy Bounds, Holographic Principle and Uncertainty Relation

Entropy ◽  
2001 ◽  
Vol 3 (2) ◽  
pp. 66-75 ◽  
Author(s):  
M. Ivanov ◽  
I. Volovich
Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 126
Author(s):  
Lawrence Paul Horwitz ◽  
Vishnu S. Namboothiri ◽  
Gautham Varma K ◽  
Asher Yahalom ◽  
Yosef Strauss ◽  
...  

In this paper we review the fundamental concepts of entropy bounds put forward by Bousso and its relation to the holographic principle. We relate covariant entropy with logarithmic distance of separation of nearby geodesics. We also give sufficient arguments to show that the origin of entropy bounds is not indeed thermodynamic, but statistical.


2020 ◽  
Author(s):  
Konstantin B. Yushkov ◽  
Vladimir Ya. Molchanov ◽  
E.A. Khazanov

2021 ◽  
Vol 126 (21) ◽  
Author(s):  
Harry J. D. Miller ◽  
M. Hamed Mohammady ◽  
Martí Perarnau-Llobet ◽  
Giacomo Guarnieri

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Sangyun Lee ◽  
Meesoon Ha ◽  
Hawoong Jeong

2020 ◽  
Vol 102 (9) ◽  
Author(s):  
Chen Qian ◽  
Ya-Dong Wu ◽  
Jia-Wei Ji ◽  
Yunlong Xiao ◽  
Barry C. Sanders

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
R. A. Abdelghany ◽  
A.-B. A. Mohamed ◽  
M. Tammam ◽  
Watson Kuo ◽  
H. Eleuch

AbstractWe formulate the tripartite entropic uncertainty relation and predict its lower bound in a three-qubit Heisenberg XXZ spin chain when measuring an arbitrary pair of incompatible observables on one qubit while the other two are served as quantum memories. Our study reveals that the entanglement between the nearest neighbors plays an important role in reducing the uncertainty in measurement outcomes. In addition we have shown that the Dolatkhah’s lower bound (Phys Rev A 102(5):052227, 2020) is tighter than that of Ming (Phys Rev A 102(01):012206, 2020) and their dynamics under phase decoherence depends on the choice of the observable pair. In the absence of phase decoherence, Ming’s lower bound is time-invariant regardless the chosen observable pair, while Dolatkhah’s lower bound is perfectly identical with the tripartite uncertainty with a specific choice of pair.


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