Entropic measures of quantum information

Abstract

Entropy has played a pivotal role in physics ever since its inception by Clausius in the early industrial age. Shannon ushered the concept into the information age by using it to describe fundamental limits of information processing, founding the field of information theory. Today, a fruitful interaction between information theory and physics is pushing our understanding of entropy forward. It has revealed, in particular, that no single notion of entropy suffices to capture all relevant properties of physical systems, making it necessary to consider a variety of entropic measures of quantum information, each with distinct features and uses. This review surveys these recent advances in a structured way, covering a comprehensive array of information measures, including Rényi and smooth entropies, together with their interrelations. Starting with a systematic characterization of entropies that motivates their definitions from natural physical principles, we discuss their applications ranging from quantum communication and cryptography to resource theories, thermodynamics, and many-body physics.

Information-theoretic measures of electron correlation in a double quantum dot
W. S. Nascimento, A. M. Maniero, F. V. Prudente +1
arXiv13 Oct 2026PreprintCC BY 4.0Full textAtomic, molecular & optical physicsarXiv
Position- and Momentum-Space Quantum Information Measures of the Double-Morse Oscillator
Firoz Chogle, Ernesto Damiani, Berihu Teklu
arXiv26 Aug 2026PreprintCC BY 4.0Full textQuantum physics & quantum informationarXiv
Classical and Quantum Information Measures Characterizing Convertibility: An Axiomatic Approach
Frits Verhagen
arXiv12 Oct 2026PreprintCC BY 4.0Full textMathematical physics ProbabilityarXiv
Quantum information processing under maximal distance measures
Bartosz Regula, Ludovico Lami, Mario Berta +1
arXiv5 Oct 2026PreprintarXiv licenceFull textMathematical physics Quantum physics & quantum informationarXiv
Matrix Φ-Entropic Measures of Dependence
Chenyu Wang, Amin Gohari
arXiv21 Oct 2026PreprintCC BY 4.0Full textStatistical & nonlinear physicsarXiv

Cite

BibTeX RIS

BibTeX

@misc{rubboli2026entropic,
  title = {{Entropic measures of quantum information}},
  author = {Roberto Rubboli and Bartosz Regula and Mario Berta and Ludovico Lami and Marco Tomamichel},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08254},
  eprint = {2611.08254},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08254},
}

RIS

TY  - UNPB
TI  - Entropic measures of quantum information
AU  - Roberto Rubboli
AU  - Bartosz Regula
AU  - Mario Berta
AU  - Ludovico Lami
AU  - Marco Tomamichel
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08254
UR  - https://arxiv.org/abs/2611.08254
AB  - Entropy has played a pivotal role in physics ever since its inception by Clausius in the early industrial age. Shannon ushered the concept into the information age by using it to describe fundamental limits of information processing, founding the field of information theory. Today, a fruitful interaction between information theory and physics is pushing our understanding of entropy forward. It has revealed, in particular, that no single notion of entropy suffices to capture all relevant properties of physical systems, making it necessary to consider a variety of entropic measures of quantum information, each with distinct features and uses. This review surveys these recent advances in a structured way, covering a comprehensive array of information measures, including Rényi and smooth entropies, together with their interrelations. Starting with a systematic characterization of entropies that motivates their definitions from natural physical principles, we discuss their applications ranging from quantum communication and cryptography to resource theories, thermodynamics, and many-body physics.
ER  -

Abstract

Related

Cite