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Scattering entropies of quantum graphs with several channels
Quantum Physics · Submitted 17 Nov 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In particular, we think the results may be used as quantifiers in models related to the transport in quantum graphs.
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The abstract, sentence by sentence
This work deals with the scattering entropy of quantum graphs in many different circumstances. We first consider the case of the Shannon entropy and then the R\'enyi and Tsallis entropies, which are more adequate to study distinct quantitative behavior such as entanglement and nonextensive behavior, respectively. We describe many results associated with different types of quantum graphs in the presence of several vertices, edges, and leads. In particular, we think the results may be used as quantifiers in models related to the transport in quantum graphs.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | This work deals with the scattering entropy of quantum graphs in many different circumstances. | contribution 0.77 | 0.67 | 0.06 | asserted 0.90 |
| s1 | We first consider the case of the Shannon entropy and then the R\'enyi and Tsallis entropies, which are more adequate to study distinct quantitative behavior such as entanglement and nonextensive behavior, respectively. | contribution 0.69 | 0.51 | 0.08 | asserted 0.98 |
| s2 | We describe many results associated with different types of quantum graphs in the presence of several vertices, edges, and leads. | contribution 0.93 | 0.81 | 0.09 | asserted 0.98 |
| s3 | In particular, we think the results may be used as quantifiers in models related to the transport in quantum graphs. | interpretation 0.89 | 0.18 | 0.32 | hedged possibility 0.92 |
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The paper
Original abstract
This work deals with the scattering entropy of quantum graphs in many different circumstances. We first consider the case of the Shannon entropy and then the R\'enyi and Tsallis entropies, which are more adequate to study distinct quantitative behavior such as entanglement and nonextensive behavior, respectively. We describe many results associated with different types of quantum graphs in the presence of several vertices, edges, and leads. In particular, we think the results may be used as quantifiers in models related to the transport in quantum graphs.
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