Thermodynamic Constraints on Quantum Information Gain and Error Correction: A Triple Trade-Off

Thermodynamically free quantum measurements

“…Let us now also highlight a simple consequence of equation ( 4), which is that for any thermal instrument implemented at inverse temperature β, the heat absorbed from the probe will obey the bound ρ). The same inequality was shown to hold in theorem 1 of [64] in a different setting. The authors in [64] also assumed that the measuring apparatus is prepared in a Gibbs state, but they did not impose energy conservation on the measurement interaction, and instead considered the class of all unitary interaction channels.…”

“…The same inequality was shown to hold in theorem 1 of [64] in a different setting. The authors in [64] also assumed that the measuring apparatus is prepared in a Gibbs state, but they did not impose energy conservation on the measurement interaction, and instead considered the class of all unitary interaction channels. Moreover, the inequality was shown to hold only in the case where Λ(ρ) = ξ β , i.e.…”