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A Mini-Introduction To Information Theory

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arxiv 1805.11965 v5 pith:DKAHZTX3 submitted 2018-05-30 hep-th quant-ph

classification hep-thquant-ph
keywords entropyquantumclassicalinformationtheoryalongarticlebasic
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This article consists of a very short introduction to classical and quantum information theory. Basic properties of the classical Shannon entropy and the quantum von Neumann entropy are described, along with related concepts such as classical and quantum relative entropy, conditional entropy, and mutual information. A few more detailed topics are considered in the quantum case.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gibbons-Hawking Entropy and BMN Strings

    hep-th 2025-11 conditional novelty 6.0 of 10

    A proposed universal finite entropy bound for quantum gravity is introduced and linked to the Gibbons-Hawking entropy of our universe, with BMN strings suggested as an unresolved test.

  2. Cosmological comoving behavior of the configurational entropy

    gr-qc 2019-08 reject novelty 5.0 of 10

    The paper claims the configurational entropy of cosmic fluids scales as a^{-3} for radiation and a^{-3/2} for matter, but the radiation result conflicts with the scale invariance of a blackbody spectrum.

  3. Digit anomalies in the hadronic mass spectrum, classical and quantum information entropies, and the dynamical QCD scale

    hep-ph 2025-11 conditional novelty 4.0 of 10

    The first digits of PDG hadron masses deviate strongly from Benford's law, and the paper reads the resulting Shannon-entropy deficit as a signature of Lambda_QCD.

  4. A Fluctuation Theory of Topological Susceptibility

    hep-lat 2019-08 reject novelty 3.0 of 10

    The claim that ChPT topological susceptibility fluctuations are always non-interacting relies on a determinant that the paper's own equations show to be nonzero, and the slab sub-volume analysis contains further algeb...

  5. Introduction to Black Hole Thermodynamics

    hep-th 2024-12 accept novelty 1.0 of 10

    A pedagogical review by Edward Witten that derives and explains the standard results of black hole thermodynamics: black hole entropy and temperature, the Unruh effect, the Euclidean approach, and the Ryu-Takayanagi formula.

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