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On the relation between the shannon entropy and the von neumann entropy

Siu‐Wai Ho, Raymond W. Yeung

Open publisher page 1 citations

Abstract

This paper presents three approaches to explore the relation between the Shannon entropy and the von Neumann entropy. The first two approaches are based on the measurement of the quantum state, while the third approach is based on the preparation of the quantum state. Each of these approaches leads to an alternative definition of the von Neumann entropy.

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What this paper is about

This paper presents three approaches to explore the relation between the Shannon entropy and the von Neumann entropy. The first two approaches are based on the measurement of the quantum state, while the third approach is based on the preparation of the quantum state. Each of these approaches leads to an alternative definition of the von Neumann entropy.

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OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper presents three approaches to explore the relation between the Shannon entropy and the von Neumann entropy. The first two approaches are based on the measurement of the quantum state, while the third approach is based on the preparation of the quantum state. Each of these approaches leads to an alternative definition of the von Neumann entropy.

Key concepts: Von Neumann entropy, Quantum mutual information, Joint quantum entropy, Rényi entropy, Quantum relative entropy, Von Neumann architecture, Generalized relative entropy, Min entropy

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