Energy, reset resources, and information

This is the channel-versus-implementation separation in Cheung's En07-A/B CheungEn07A,CheungEn07B. In a separately specified initially uncorrelated memory–Gibbs reservoir setup undergoing a complete unitary,

Thus thermal erasure has additional hypotheses ReebWolf. No such thermal machine is constructed by the readout-and-drop identity.

An information-free residual can retain energy and degrees of freedom: $V|\psi ⟩=|\psi {⟩}_R|1{⟩}_B$ has zero leakage but positive residual energy for $H_B=ϵ|1⟩⟨1|$.