![]() 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. 23.68 Item preview, Shannon Entropy, classical information theory designed and sold by NoetherSym. 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. The entropy of entanglement is the Von Neumann entropy of the reduced density matrix for any of the subsystems. Von Neumann Entropy, quantum information and physics. an essay on Monetary ReconstructionLudwig H. ( Learn how and when to remove this template message) The Entropy Tango, Gold Diggers of 1977, The Alchemists QuestionMichael. It is a basic theorem in modern quantum information theory. JSTOR ( October 2021) ( Learn how and when to remove this template message) In quantum information theory, strong subadditivity of quantum entropy (SSA) is the relation among the von Neumann entropies of various quantum subsystems of a larger quantum system consisting of three subsystems (or of one quantum system with three degrees of freedom).Unsourced material may be challenged and removed.įind sources: "Von Neumann entropy" – news As a result, different von Neumann entropies can be associated with the same state. Both Shannon and Von Neumann entropy are discussed, making the connection to compressibility of a message stream and the generalization of compressibility in a. Please help improve this article by adding citations to reliable sources. Entropy of quantum states Paolo Facchi, Giovanni Gramegna, Arturo Konderak Given the algebra of observables of a quantum system subject to selection rules, a state can be represented by different density matrices. This article needs additional citations for verification. ![]()
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