scholarly journals Multiple uncertainty relation for accelerated quantum information

2020 ◽  
Vol 102 (9) ◽  
Author(s):  
Chen Qian ◽  
Ya-Dong Wu ◽  
Jia-Wei Ji ◽  
Yunlong Xiao ◽  
Barry C. Sanders
2016 ◽  
Vol 94 (11) ◽  
pp. 1142-1147 ◽  
Author(s):  
Hong-Mei Zou ◽  
Mao-Fa Fang

Based on the entropic uncertainty relation in the presence of quantum memory, the entanglement witness of two atoms in dissipative cavities is investigated by using the time-convolutionless master-equation approach. We discuss in detail the influences of the non-Markovian effect and the atom–cavity coupling on the lower bound of the entropic uncertainty relation and entanglement witness. The results show that, with the coupling increasing, the number of the time zone witnessed will increase so that the entanglement can be repeatedly witnessed. Enhancing the non-Markovian effect can add the number of the time zone witnessed and lengthen the time of entanglement witness. The results can be applied in quantum measurement, entanglement detecting, quantum cryptography task, and quantum information processing.


2016 ◽  
Vol 14 (06) ◽  
pp. 1640022 ◽  
Author(s):  
A. S. Majumdar ◽  
T. Pramanik

We discuss some applications of various versions of uncertainty relations for both discrete and continuous variables in the context of quantum information theory. The Heisenberg uncertainty relation enables demonstration of the Einstein, Podolsky and Rosen (EPR) paradox. Entropic uncertainty relations (EURs) are used to reveal quantum steering for non-Gaussian continuous variable states. EURs for discrete variables are studied in the context of quantum memory where fine-graining yields the optimum lower bound of uncertainty. The fine-grained uncertainty relation is used to obtain connections between uncertainty and the nonlocality of retrieval games for bipartite and tripartite systems. The Robertson-Schrödinger (RS) uncertainty relation is applied for distinguishing pure and mixed states of discrete variables.


2020 ◽  
Vol 35 (16) ◽  
pp. 2050127
Author(s):  
Zhiming Huang ◽  
Dongwu Wu ◽  
Tianqing Wang ◽  
Yungang Bian ◽  
Wei Zhang

High-dimensional quantum system plays an important role in quantum information tasks. However, the interaction between quantum system and environment would give rise to decoherence. In this paper, we examine the quantum-memory-assisted entropic uncertainty relation under amplitude damping (AD) decoherence. It is found that entropic uncertainty first inflates and then reduces to a nonzero value with the growing decoherence strength. In addition, it is revealed that the mixedness is not closely associated with entropic uncertainty which is different from the previous result. Furthermore, we construct a remarkably effective filtering operator to steer and reduce the entropic uncertainty. Our exploration might offer fresh insights into the dynamics and manipulation of the entropic uncertainty in high-dimensional quantum system.


2003 ◽  
Vol 50 (6-7) ◽  
pp. 901-913 ◽  
Author(s):  
H. Ollivier ◽  
F. Yamaguchi ◽  
M. Brune ◽  
J. M. Raimond ◽  
S. Haroche ◽  
...  

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

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