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Coherent Swap Regret and Channel-Proof Learning

quant-ph · 2026-06-01 · unverdicted · novelty 7.0

Introduces coherent swap regret against local CPTP maps and proves a three-level landscape where non-unital measurement-preparation channels force Theta(sqrt(d T log d)) minimax regret while unital channels have zero regret.

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  • Coherent Swap Regret and Channel-Proof Learning quant-ph · 2026-06-01 · unverdicted · none · ref 16

    Introduces coherent swap regret against local CPTP maps and proves a three-level landscape where non-unital measurement-preparation channels force Theta(sqrt(d T log d)) minimax regret while unital channels have zero regret.