Discard ZX-calculus yields a categorical proof of Bloch-Nordsieck cancellation in soft QED by reducing the influence functional normalization to a single wire identity under unitarity and discard rules.
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Formulates unresolved soft photons in QED as an open quantum system environment, derives IR-finite probabilities via influence functional and equal-history identity, and obtains explicit leading-soft Lindblad evolution on the hard sector.
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Infrared Safety from ZX-Diagrams: A Categorical Proof of Soft-QED as Open Quantum System
Discard ZX-calculus yields a categorical proof of Bloch-Nordsieck cancellation in soft QED by reducing the influence functional normalization to a single wire identity under unitarity and discard rules.
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Soft QED as Open Quantum System: Infrared Cancellation and Soft-Shell Coarse Graining
Formulates unresolved soft photons in QED as an open quantum system environment, derives IR-finite probabilities via influence functional and equal-history identity, and obtains explicit leading-soft Lindblad evolution on the hard sector.