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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… Click to show full 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.
Keywords:
entropy;
entropy algebras;
nyi entropy
Journal Title: Journal of the Optical Society of America
Year Published: 2020
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Journal Title: Journal of the Optical Society of America
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!