A general hybrid quantum TUR for two-terminal N-S junctions in the Andreev regime that is never violated, saturates only at vanishing current, and relates to the normal bound by replacing e with 2e.
Seifert, From stochastic thermodynamics to thermo- dynamic inference, Annual Review of Condensed Matter Physics 10, 171 (2019)
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Quantum thermodynamic uncertainty relation and macroscopic superconducting coherence
A general hybrid quantum TUR for two-terminal N-S junctions in the Andreev regime that is never violated, saturates only at vanishing current, and relates to the normal bound by replacing e with 2e.