Steering entropic uncertainty of qutrit system

2020 ◽  
Vol 35 (16) ◽  
pp. 2050127
Author(s):  
Zhiming Huang ◽  
Dongwu Wu ◽  
Tianqing Wang ◽  
Yungang Bian ◽  
Wei Zhang
Keyword(s):  
Quantum Information ◽  
Quantum System ◽  
Uncertainty Relation ◽  
Quantum Memory ◽  
High Dimensional ◽  
Amplitude Damping ◽  
Entropic Uncertainty Relation ◽  
Information Tasks

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.

Entanglement witness via quantum-memory-assisted entropic uncertainty relation

2017 ◽  
Vol 14 (12) ◽  
pp. 125208 ◽  
Author(s):  
Jiadong Shi ◽  
Zhiyong Ding ◽  
Tao Wu ◽  
Juan He ◽  
Lizhi Yu ◽  
...  
Keyword(s):  
Uncertainty Relation ◽  
Quantum Memory ◽  
Entanglement Witness ◽  
Entropic Uncertainty Relation

scholarly journals Experimental test of fine-grained entropic uncertainty relation in the presence of quantum memory

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Wei-Min Lv ◽  
Chao Zhang ◽  
Xiao-Min Hu ◽  
Yun-Feng Huang ◽  
Huan Cao ◽  
...  
Keyword(s):  
Experimental Test ◽  
Uncertainty Relation ◽  
Quantum Memory ◽  
Fine Grained ◽  
Entropic Uncertainty Relation

Quantum correlations and quantum-memory-assisted entropic uncertainty relation in two kinds of spin squeezing models

2019 ◽  
Vol 16 (9) ◽  
pp. 095202 ◽  
Author(s):  
Saeed Haddadi ◽  
Mohammad Reza Pourkarimi ◽  
Ahmad Akhound ◽  
Mehrdad Ghominejad
Keyword(s):  
Uncertainty Relation ◽  
Quantum Correlations ◽  
Spin Squeezing ◽  
Quantum Memory ◽  
Entropic Uncertainty Relation

Time evolution of quantum-memory-assisted entropic uncertainty relation and quantum correlations under dissipative environment

2019 ◽  
Vol 17 (01) ◽  
pp. 1950008 ◽  
Author(s):  
Mohammad Reza Pourkarimi
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Time Evolution ◽  
Uncertainty Relation ◽  
Quantum Correlations ◽  
Quantum Memory ◽  
Xy Model ◽  
Anisotropic Parameter ◽  
Entropic Uncertainty Relation ◽  
Dissipative Environment

By assuming the effect of dissipative environment and the Hamiltonian XY-model and external magnetic field, the time evolution of the entropic uncertainty relation (EUR) in the presence of quantum-memory and the dynamics of quantum correlations (QC) are investigated. It is shown that EUR and QC may evolve in different ways during the time. However, they can behave similarly when the time tends to infinity. The effects of external magnetic field and anisotropic parameter are different on the dynamics of EUR and QC.

Witnessing entanglement between two atoms in dissipative cavities by the entropic uncertainty relation

2016 ◽  
Vol 94 (11) ◽  
pp. 1142-1147 ◽  
Author(s):  
Hong-Mei Zou ◽  
Mao-Fa Fang
Keyword(s):  
Quantum Information ◽  
Lower Bound ◽  
Uncertainty Relation ◽  
Quantum Information Processing ◽  
Equation Approach ◽  
Time Zone ◽  
Entanglement Witness ◽  
Entropic Uncertainty Relation ◽  
Cavity Coupling ◽  
Master Equation Approach

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.

Quantum-memory-assisted entropic uncertainty in fluctuating electromagnetic field with a boundary

2019 ◽  
Vol 34 (17) ◽  
pp. 1950099
Author(s):  
Zhiming Huang ◽  
Xiaobin Wang ◽  
Yiyong Ye ◽  
Xiaokui Sheng ◽  
Zhenbang Rong ◽  
...  
Keyword(s):  
Electromagnetic Field ◽  
Master Equation ◽  
Quantum Correlation ◽  
Uncertainty Relation ◽  
Boundary Effect ◽  
Quantum Memory ◽  
Plane Boundary ◽  
Evolution Time ◽  
Entropic Uncertainty Relation ◽  
Level Atom

In this work, we investigate the dynamics of quantum-memory-assisted entropic uncertainty relation for a two-level atom coupled with fluctuating electromagnetic field in the presence of a perfectly reflecting plane boundary. The solution of the master equation that governs the system evolution is derived. We find that entropic uncertainty and mixedness increase to a stable value with evolution time, but quantum correlation reduces to zero with evolution time. That is, the mixedness is positively associated with entropic uncertainty, however, increasing quantum correlation can cause the decrease of the uncertainty. The tightness of entropic uncertainty grows at first and then declines to zero with evolution time. In addition, entropic uncertainty fluctuates to relatively stable values with increasing the atom’s distance from the boundary, especially for short evolution time, which suggests a possible way of testing the vacuum fluctuating and boundary effect. Finally, we propose an effective method to control the uncertainty via quantum weak measurement reversal.

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