Author

Gilad Gour

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Preprint Sep 2026

Failure of the Asymptotic Equipartition Property for Quantum Channels

We establish two results on the asymptotic equipartition property (AEP) for quantum channels. First, the AEP formulated using smoothing over completely positive trace-preserving maps fails in general. Second, the AEP with smoothing over subchannels (completely positive trace-nonincreasing maps) is equivalent to the str...

Gilad Gour · 4 citations · ⚡3

Preprint Jul 2026

Quantum Noncommutativity Uniquely Determines Relative Entropy

Quantum relative entropy is a core concept in physics, governing the limits of communication, thermodynamic irreversibility and quantum resource conversion. However, the requirement that physical processes cannot increase state distinguishability, the data-processing inequality, permits an infinite family of alternativ...

Gilad Gour · 1 citation