Abstract
In this paper, we formulate Rényi-type entropy depending on α ∈ [0, ∞)\{1} and reference systems S on C∗-algebras, and prove that the introduced entropy corresponds to the quantum Rényi entropy defined by Petz and S-mixing entropy given by Ohya under certain conditions. Moreover, using our entropy, we show that the complexities of the KMS state takes different values by choosing different reference systems S for any α #= 1.
| Original language | English |
|---|---|
| Article number | 12 |
| Journal | Journal of Stochastic Analysis |
| Volume | 1 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Dec 2020 |
Keywords
- operator algebras
- quantum entropy
- Quantum information theory
- quantum statistical mechanics
- Rényi entropy
- S-mixing entropy
ASJC Scopus subject areas
- Analysis
- Statistics and Probability
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