Robust classical and quantum communication over almost-iid channels

arXiv:2610.00442 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Robustness — 19× in this paper · explained in 5 episodes
• Entanglement — 18× in this paper · explained in 3 episodes
• Trace — 13× in this paper · explained in 2 episodes
• Wasserstein Distance — 8× in this paper · explained in 4 episodes
• Hilbert Space — 7× in this paper · explained in 2 episodes
• Hamming Distance — 2× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Spin Squeezing — 1× in this paper · explained in 2 episodes

Sources

• Almost-iid information theory
• New approaches to almost i.i.d. information theory
• Robust generalized quantum Stein's lemma
• Quantum Shannon theory made robust: a tale of three protocols for almost i.i.d. sources
• Entropy Concentration and Universal Typicality for Weakly Almost i.i.d. Quantum Sources
• Robustness of Entanglement Manipulation for almost i.i.d. sources
• Optimal sequence of POVMs in the sense of Stein's lemma in quantum hypothesis testing
• A short proof of the modified Kretschmann-Schlingemann-Werner conjecture

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