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Von neumann entropy11/18/2023 ![]() ![]() For a quantum-mechanical system described by a density matrix ρ, the von Neumann entropy is S = − tr ( ρ ln ρ ), īelow, the concept of subadditivity is discussed, followed by its generalization to strong subadditivity. is a pure state with zero entropy, but each spin has maximum entropy when considered individually in its reduced density matrix. Using Von Neumann Entropy 20, which employs the eigenvalues or singular values of a positive semi-definite matrix to calculate the information entropy of the matrix, obtains the information. In physics, the von Neumann entropy, named after John von Neumann, is an extension of the concept of Gibbs entropy from classical statistical mechanics to quantum statistical mechanics. Von Neumanns gedanken experiment is repeated, which led him to the formula of thermodynamic entropy of a statistical operator. This paper is an introduction to the von Neumann entropy in a historic approach. ( Learn how and when to remove this template message) Entropy, von Neumann and the von Neumann entropy. That is, the Von Neumann entropy is larger if we know less about how the state was prepared. JSTOR ( October 2021) ( Learn how and when to remove this template message).Unsourced material may be challenged and removed.įind sources: "Von Neumann entropy" – news 10.1.1Shannon entropy and data compression 2 10.1.2Joint typicality, conditional entropy, and mutual infor-mation 6 10.1.3Distributed source coding 8 10.1.4The noisy channel coding theorem 9 10.2 Von Neumann Entropy 16 10.2.1Mathematical properties of H() 18 10.2.2Mixing, measurement, and entropy 20 10.2. Please help improve this article by adding citations to reliable sources. They are using the spectral decomposition theorem (link here). This article needs additional citations for verification. ![]()
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