A discrete entropic uncertainty relation

1990 ◽  
pp. 263-266 ◽  
Author(s):  
H. Maassen
Keyword(s):  
Uncertainty Relation ◽  
Entropic Uncertainty Relation

scholarly journals Tripartite entropic uncertainty relation under phase decoherence

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
R. A. Abdelghany ◽  
A.-B. A. Mohamed ◽  
M. Tammam ◽  
Watson Kuo ◽  
H. Eleuch
Keyword(s):  
Lower Bound ◽  
Uncertainty Relation ◽  
Nearest Neighbors ◽  
The Other ◽  
Uncertainty In Measurement ◽  
Entropic Uncertainty Relation ◽  
Specific Choice ◽  
Phase Decoherence ◽  
Time Invariant ◽  
Incompatible Observables

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.

scholarly journals Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems

Entropy ◽  
2018 ◽  
Vol 20 (10) ◽  
pp. 763 ◽  
Author(s):  
Ana Costa ◽  
Roope Uola ◽  
Otfried Gühne
Keyword(s):  
Relative Entropy ◽  
Uncertainty Relation ◽  
Uncertainty Relations ◽  
W States ◽  
Entropic Uncertainty Relations ◽  
Entropic Uncertainty Relation ◽  
Local Measurements ◽  
Action At A Distance ◽  
Quantum Steering ◽  
Joint Convexity

The effect of quantum steering describes a possible action at a distance via local measurements. Whereas many attempts on characterizing steerability have been pursued, answering the question as to whether a given state is steerable or not remains a difficult task. Here, we investigate the applicability of a recently proposed method for building steering criteria from generalized entropic uncertainty relations. This method works for any entropy which satisfy the properties of (i) (pseudo-) additivity for independent distributions; (ii) state independent entropic uncertainty relation (EUR); and (iii) joint convexity of a corresponding relative entropy. Our study extends the former analysis to Tsallis and Rényi entropies on bipartite and tripartite systems. As examples, we investigate the steerability of the three-qubit GHZ and W states.

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

Entropic uncertainty relation and quantum coherence under Ising model with Dzyaloshinskii–Moriya interaction

2021 ◽  
Vol 18 (8) ◽  
pp. 085204
Author(s):  
Saeed Haddadi ◽  
Mehrdad Ghominejad ◽  
Ahmad Akhound ◽  
Mohammad Reza Pourkarimi
Keyword(s):  
Ising Model ◽  
Quantum Coherence ◽  
Uncertainty Relation ◽  
Entropic Uncertainty Relation ◽  
Moriya Interaction

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
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