QubitLogic
arXiv

State convertibility and fluctuation theorems from a dynamical reference: majorization meets martingales

State convertibility represents a fundamental concept used to determine whether a transformation is possible given a specific set of resources.

We firstly unify and extend these notions to an arbitrary and possibly time-dependent reference distribution $g(t)$, introducing the concept of $g(t)$-majorization.

Why this matters

This research provides a new framework for understanding state transitions in thermodynamic processes. It helps improve our comprehension of entropy production and could lead to more accurate models in thermodynamic systems.

What they actually achieved

The authors unified and extended concepts of majorization to time-dependent reference distributions. They demonstrated that state convertibility can be analyzed through a convex-order problem, allowing for the derivation of a fluctuation theorem for reference-relative entropy production.

What they did not achieve

The work does not provide experimental validation of the theoretical models proposed. It remains a conceptual advancement without direct physical application or empirical demonstration reported.

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