Fig. 5: Information-geometric representation.

Projection π[Pta,U] of the true state Pta,U at the beginning of the protocol into a subspace \({{{\mathscr{B}}}}\) of Boltzmann densities compatible with the trap. DKL(p∣∣q) is the KL-divergence between two distributions p(x) and q(x). Only the deviation from the initial equilibrium state \({P}_{U}^{{{{\rm{eq}}}}}\) measured within this subspace can be converted to work.