Entropy · 2022 · 22 citations · 64 references
Natural SciencesPhysicsMathematical PhysicsQuantum MechanicsTheoretical PhysicsInformation MeasuresQuantum Field TheoryQuantum Information TheoryQuantum PhysicsTopological Phases Of MatterAharonov-bohm EffectEntropy In Quantum InformationInformation EntropyQuantum EntropyQuantum RingsQuantum Shannon TheoryReciprocal SpaceShannon Entropy
We investigate quantum information by a theoretical measurement approach of an Aharanov-Bohm (AB) ring with Yukawa interaction in curved space with disclination. We obtained the so-called Shannon entropy through the eigenfunctions of the system. The quantum states considered come from Schrödinger theory with the AB field in the background of curved space. With this entropy, we can explore the quantum information at the position space and reciprocal space. Furthermore, we discussed how the magnetic field, the AB flux, and the topological defect influence the quantum states and the information entropy.
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A Mathematical Theory of Communication
Claude E. Shannon · Bell System Technical Journal · 1948 · 80.7K citations
Inequalities in Fourier Analysis
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A. Lorke, R.J. Luyken, Alexander O. Govorov et al. · Physical Review Letters · 2000 · 823 citations · Full text