A gauge-invariant formulation of quantum thermodynamics is constructed from restricted information, yielding a stochastic invariant entropy that obeys detailed fluctuation theorems and unifies the first and second laws via invariant work and coherent heat.
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Geometry of restricted information: the case of quantum thermodynamics
A gauge-invariant formulation of quantum thermodynamics is constructed from restricted information, yielding a stochastic invariant entropy that obeys detailed fluctuation theorems and unifies the first and second laws via invariant work and coherent heat.