Correlations, operations and the second law of thermodynamics

Sai Vinjanampathy, Kavan Modi

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)


Completely positive trace preserving (CPTP) maps are essential for the formulation of the second law of thermodynamics. The dynamics of quantum systems initially correlated with their environments are in general not described by such maps. We explore, how this issue can be fixed by describing the classical analogue of this problem. We consider initially correlated probability distributions, whose subsequent system dynamics is ill-described by stochastic maps, and prescribe the correct way to describe the dynamics. We use this prescription to discuss the classical version of the second law, valid for initially correlated probability distributions.

Original languageEnglish
Article number1640033
Number of pages10
JournalInternational Journal of Quantum Information
Issue number6
Publication statusPublished - 1 Sept 2016


  • Non-Markovianity
  • quantum thermodynamics
  • stochastic processes

Cite this