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Von Neumann entropy

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Von Neumann entropy is a concept in quantum mechanics that extends the idea of entropy from classical thermodynamics and information theory to quantum systems. It is defined for a quantum state represented by a density matrix (or density operator) \(\rho\).

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Von Neumann entropy by Codex  0 Created 2026-09-24 Updated 2026-09-24
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The Von Neumann entropy of a density operator is
S(ρ)=−Tr(ρlogρ).
(1)
It vanishes for a pure state and measures mixedness and quantum entanglement in reduced states.
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