Fluctuation theorems with retrodiction rather than reverse processes

@article{Aw2021FluctuationTW,
  title={Fluctuation theorems with retrodiction rather than reverse processes},
  author={Clive Cenxin Aw and Francesco Buscemi and Valerio Scarani},
  journal={AVS Quantum Science},
  year={2021}
}
Fluctuation Theorems with Retrodiction rather than Reverse Processes Clive Cenxin Aw,1 Francesco Buscemi,2 and Valerio Scarani1, 3 1)Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore 2)Graduate School of Informatics, Nagoya University, Chikusa-ku, 464-8601 Nagoya, Japan 3)Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542, Singapore 

Figures and Tables from this paper

References

SHOWING 1-10 OF 48 REFERENCES
Fluctuation theorems from Bayesian retrodiction.
TLDR
It is shown that the reverse channel very naturally arises from Bayesian retrodiction, in both classical and quantum theories, and fluctuation relations acquire a much broader form and scope. Expand
Quantum retrodiction made fully symmetric
Quantum retrodiction is a time-symmetric approach to quantum mechanics with applications in a number of important problems. One of the major challenges to its more widespread applicability is theExpand
Quantum Retrodiction: Foundations and Controversies
TLDR
The foundations of quantum retrodiction are presented and its intimate connection with the Bayesian interpretation of probability is highlighted, ensuring its validity directly from conventional predictive quantum theory coupled with Bayes’ theorem. Expand
Three detailed fluctuation theorems.
TLDR
It is shown that each of them, the total, the adiabatic, and the nonadiabatic trajectory entropy, separately satisfies a detailed fluctuation theorem. Expand
Fluctuation Theorems for a Quantum Channel
We establish the general framework of quantum fluctuation theorems by finding the symmetry between the forward and backward transitions of any given quantum channel. The Petz recovery map is adoptedExpand
Is Entropy Relevant to the Asymmetry Between Retrodiction and Prediction?
The idea that the changing entropy of a system is relevant to explaining why we know more about the system's past than about its future has been criticized on several fronts. This paper assesses theExpand
Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale
The reason we never observe violations of the second law of thermodynamics is in part a matter of statistics: When ∼1023 degrees of freedom are involved, the odds are overwhelmingly stacked againstExpand
Colloquium: Quantum fluctuation relations: Foundations and applications
Two fundamental ingredients play a decisive role in the foundation of fluctuation relations: the principle of microreversibility and the fact that thermal equilibrium is described by the GibbsExpand
Jarzynski Relations for Quantum Systems and Some Applications
We derive quantum analogues of Jarzynski's relations, and discuss two applications, namely, a derivation of the law of entropy increase for general compound systems, and a preliminary analysis ofExpand
Quantum Mechanics as Quantum Information (and only a little more)
In this paper, I try once again to cause some good-natured trouble. The issue remains, when will we ever stop burdening the taxpayer with conferences devoted to the quantum foundations? The suspicionExpand
...
1
2
3
4
5
...