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.

Quantum correlations and entropic uncertainty relation in a three-qubit spin chain under the effect of magnetic field and DM interaction

2018 ◽  
Vol 16 (07) ◽  
pp. 1850057 ◽  
Author(s):  
Mohammad Reza Pourkarimi
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Spin Chain ◽  
Uncertainty Relation ◽  
Quantum Correlations ◽  
Spin Coupling ◽  
Xy Model ◽  
Thermal Dynamics ◽  
Dm Interaction ◽  
Entropic Uncertainty Relation

In this paper, we study the thermal dynamics of quantum correlations and uncertainty relation in a three-qubit spin chain under the effect of Hamiltonian XY model, Dzyaloshinskii–Moriya (DM) interaction and external magnetic field. The results show that quantum correlations behave contrary to uncertainty under the effect of thermal dynamics and external magnetic field. However, they evolve in the same way under effect of DM interaction and spin coupling. DM interaction, magnetic field and spin coupling enhance quantum correlations.

Measurement-induced nonlocality in the two-qubit Heisenberg XY model

2015 ◽  
Vol 29 (15) ◽  
pp. 1550098 ◽  
Author(s):  
Wen-Xue Chen ◽  
Yu-Xia Xie ◽  
Xiao-Qiang Xi
Keyword(s):  
Magnetic Field ◽  
Information Processing ◽  
Quantum Information ◽  
External Magnetic Field ◽  
Potential Application ◽  
Quantum Correlation ◽  
Quantum Information Processing ◽  
Quantum Correlations ◽  
Xy Model ◽  
Anisotropic Parameter

Quantum correlations are essential for quantum information processing (QIP). Measurement-induced nonlocality (MIN) is a good measure of quantum correlation, and is favored for its conceptual implication and potential application. We investigated here the particular behaviors of the geometric and entropic measures of MIN in the two-qubit Heisenberg XY model and revealed the effects of anisotropic parameter γ and the external magnetic field B on them. Our results showed that both γ and B can serve as efficient controlling parameters for tuning MIN in the XY model.

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

scholarly journals Quantum memory and quantum correlations of Majorana qubits used for magnetometry

2020 ◽  
Vol 20 (11&12) ◽  
pp. 935-956
Author(s):  
H. Rangani ◽  
S. Haseli
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Quantum Correlations ◽  
Quantum Memory ◽  
Local Characteristic ◽  
Markovian Dynamics ◽  
Non Local ◽  
Majorana Modes ◽  
Local Nature

We address how the non-local nature of the topological qubits, realized by Majorana modes and driven by an external magnetic field, can be used to control the non-Markovian dynamics of the system. It is also demonstrated that the non-local characteristic plays a key role in control and protection of quantum correlations between Majorana qubits. Moreover, we discuss how those non-local qubits help us to enhance quantum magnetometry.

Quantum-memory-assisted entropic uncertainty relation in a HeisenbergXYZchain with an inhomogeneous magnetic field

2017 ◽  
Vol 14 (6) ◽  
pp. 065203 ◽  
Author(s):  
Dong Wang ◽  
Aijun Huang ◽  
Fei Ming ◽  
Wenyang Sun ◽  
Heping Lu ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Uncertainty Relation ◽  
Inhomogeneous Magnetic Field ◽  
Quantum Memory ◽  
Entropic Uncertainty Relation

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
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