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quant-ph2026
Operation Mpemba effect: Breakdown of resource-Markovianity of free dynamics
Tian-Ren Jin, Yu-Ran Zhang, Heng Fan
The Mpemba effect refers to faster relaxation of states that are initially farther from equilibrium, yet its characterization is often tied to a chosen distance or resource measure…
cs.AI2026
Capacity, Not Format: Rethinking Structured Reasoning Failures
Hengxin Fan
Prior work treats structured output as a reasoning tax, but this framing is incomplete: the cost of formatting depends strongly on a model's spare capacity. Using information-match…