Informational Steady States and Conditional Entropy Production in Continuously Monitored Systems

Gabriel T. Landi*, Mauro Paternostro, Alessio Belenchia

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
8 Downloads (Pure)


We put forth a unifying formalism for the description of the thermodynamics of continuously monitored systems, where measurements are only performed on the environment connected to a system. We show, in particular, that the conditional and unconditional entropy production, which quantify the degree of irreversibility of the open system's dynamics, are related to each other by the Holevo quantity. This, in turn, can be further split into an information gain rate and loss rate, which provide conditions for the existence of informational steady states, i.e., stationary states of a conditional dynamics that are maintained owing to the unbroken acquisition of information. We illustrate the applicability of our framework through several examples.

Original languageEnglish
Article number010303
JournalPRX Quantum
Issue number1
Publication statusPublished - 05 Jan 2022

Bibliographical note

Publisher Copyright:
© 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the ""Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Computer Science(all)
  • Applied Mathematics
  • Mathematical Physics
  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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