Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication

Topics

Quantum Thermodynamics

A generalization of majorization that characterizes Shannon entropy

arXiv
Authors: Markus P. Mueller, Michele Pastena

Year

2015

Paper ID

27957

Status

Preprint

Abstract Read

~2 min

Abstract Words

91

Citations

N/A

Abstract

We introduce a binary relation on the finite discrete probability distributions which generalizes notions of majorization that have been studied in quantum information theory. Motivated by questions in thermodynamics, our relation describes the transitions induced by bistochastic maps in the presence of additional auxiliary systems which may become correlated in the process. We show that this relation is completely characterized by Shannon entropy H, which yields an interpretation of H in resource-theoretic terms, and admits a particularly simple proof of a known characterization of H in terms of natural information-theoretic properties.

Why This Paper Matters

  • This paper contributes to the Quantum Thermodynamics research area in the Quantum Articles archive.
  • It adds a 2015 reference point for readers tracking recent quantum research.
  • We introduce a binary relation on the finite discrete probability distributions which generalizes notions of majorization that have been studied in quantum information theory.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:1507.06900 [2] arXiv https://arxiv.org/abs/1507.06900 [3] Publisher https://arxiv.org/abs/1507.06900

Local Citation Graph (Related-Paper Links)

Current Paper #27957

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.