Information fluctuation theorem for an open quantum bipartite system

Conditional entropy production and quantum fluctuation theorem of dissipative information

“…Positive dissipative informa-tion suggests the waste of correlation work [26][27][28]. In addition, we establish the quantum fluctuation theorems of the conditional entropy production based on different two-point measurement schemes [39,40]. We also find the quantum fluctuation theorem of the dissipative information based on the local two-point measurements.…”

“…The backaction from measurements is minimized if measurements are performed at the eigenbasis of the system or the environments. Quantum correlations can also be preserved if the global measurements, on the joint state of the system and the memory, are applied [39,40].…”

Quantum thermodynamics under continuous monitoring: a general framework

“…This approach can be complemented by introducing socalled augmented trajectories (or Bayesian networks), that include extra virtual measurements (e.g. over subsystems) without introducing their backaction 6,195 , and have shown useful to obtain extra fluctuation relations 196 . On the more practical side, although the TPM have been directly implemented in several experiments [197][198][199][200][201] , projective measurements are often difficult to control and may destroy the quantum system over which they are performed.…”

Inferring work by quantum superposing forward and time-reversal evolutions

“…Although here we have focused for simplicity on the case of initial equilibrium states, we stress that our method can be used to determine the work probability distribution for generic nonequilibrium initial states. Systems with initial coherence in the energy basis or composite systems sharing quantum correlations can also be handled within our method by measuring transitions from arbitrary eigenstates p m|n = | E (τ ) m |U (τ, 0)|ψ (0) n | 2 and using extended trajectories (Bayesian networks) techniques [37,55] to infer the work probability distribution. Finally, work probability distributions using collective measurements might be instead reproduced following the proposal in Ref.…”