Conditional R-norm Entropy and R-norm Divergence in Quantum Logics

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Zarenezhad M. H.; EBRAHIMZADEH A.

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Journal Paper

Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2022 | Volume:16 | Issue:9 Page(s): 00-00

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Title

Conditional R-norm Entropy and R-norm Divergence in Quantum Logics

Author(s)

Zarenezhad M. H. | EBRAHIMZADEH A. | Issue Writer Certificate

Keywords

Quantum logic

R-norm entropy

conditional R-norm entropy

R-norm divergence

Abstract

This contribution deals with the mathematical modeling of R-norm entropy and R-norm divergence in Quantum logics. We extend some results concerning the R-norm entropy and conditional R-norm entropy given in (Inf. Control 45, 1980), to the Quantum logics. Firstly, the concepts of R-norm entropy and conditional R-norm entropy in Quantum logics are introduced. We prove the concavity property for the notion of R-norm entropy in Quantum logics and we show that this entropy measure does not have the property of sub-additivity in a true sense. It is proven that the monotonicity property for the suggested type of conditional version of R-norm entropy, holds. Furthermore, we introduce the concept of R-norm divergence of states in Quantum logics and we derive basic properties of this quantity. In particular, a relationship between the R-norm divergence and the R-norm entropy of partitions is provided.

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APA: Copy

Zarenezhad, M. H., & EBRAHIMZADEH, A.. (2022). Conditional R-norm Entropy and R-norm Divergence in Quantum Logics. JOURNAL OF MATHEMATICAL EXTENSION, 16(9), 00-00. SID. https://sid.ir/paper/1066193/en

Vancouver: Copy

Zarenezhad M. H., EBRAHIMZADEH A.. Conditional R-norm Entropy and R-norm Divergence in Quantum Logics. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2022;16(9):00-00. Available from: https://sid.ir/paper/1066193/en

IEEE: Copy

M. H. Zarenezhad, and A. EBRAHIMZADEH, “Conditional R-norm Entropy and R-norm Divergence in Quantum Logics,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 16, no. 9, pp. 00–00, 2022, [Online]. Available: https://sid.ir/paper/1066193/en

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