Second Law-Like Inequalities with Quantum Relative Entropy:. AN Introduction

@article{Sagawa2013SecondLI,
  title={Second Law-Like Inequalities with Quantum Relative Entropy:. AN Introduction},
  author={Takahiro Sagawa},
  journal={arXiv: Statistical Mechanics},
  year={2013},
  pages={125-190}
}
  • Takahiro Sagawa
  • Published 2013
  • Mathematics, Physics
  • arXiv: Statistical Mechanics
  • We review the fundamental properties of the quantum relative entropy for finite-dimensional Hilbert spaces. In particular, we focus on several inequalities that are related to the second law of thermodynamics, where the positivity and the monotonicity of the quantum relative entropy play key roles; these properties are directly applicable to derivations of the second law (e.g., the Clausius inequality). Moreover, the positivity is closely related to the quantum fluctuation theorem, while the… CONTINUE READING

    Tables from this paper.

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 57 CITATIONS

    FILTER CITATIONS BY YEAR

    2012
    2020