Publication

Smooth Rényi Entropy of Ergodic Quantum Information Sources

Schoenmakers, B., Tjoelker, J., Tuyls, P. & Verbitskiy, E., 2007, EPRINTS-BOOK-TITLE. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, 5 p.

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

APA

Schoenmakers, B., Tjoelker, J., Tuyls, P., & Verbitskiy, E. (2007). Smooth Rényi Entropy of Ergodic Quantum Information Sources. In EPRINTS-BOOK-TITLE University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science.

Author

Schoenmakers, Berry ; Tjoelker, Jilles ; Tuyls, Pim ; Verbitskiy, Evgeny. / Smooth Rényi Entropy of Ergodic Quantum Information Sources. EPRINTS-BOOK-TITLE. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, 2007.

Harvard

Schoenmakers, B, Tjoelker, J, Tuyls, P & Verbitskiy, E 2007, Smooth Rényi Entropy of Ergodic Quantum Information Sources. in EPRINTS-BOOK-TITLE. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science.

Standard

Smooth Rényi Entropy of Ergodic Quantum Information Sources. / Schoenmakers, Berry; Tjoelker, Jilles; Tuyls, Pim; Verbitskiy, Evgeny.

EPRINTS-BOOK-TITLE. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, 2007.

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

Vancouver

Schoenmakers B, Tjoelker J, Tuyls P, Verbitskiy E. Smooth Rényi Entropy of Ergodic Quantum Information Sources. In EPRINTS-BOOK-TITLE. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science. 2007


BibTeX

@inbook{995a63599cfd424ba745637012a2f6f9,
title = "Smooth R{\'e}nyi Entropy of Ergodic Quantum Information Sources",
abstract = "We investigate the recently introduced notion of smooth R{\'e}nyi entropy for the case of ergodic information sources, thereby generalizing previous work which concentrated mainly on i.i.d. information sources. We will actually consider ergodic quantum information sources, of which ergodic classical information sources are a special case. We prove that the average smooth R{\'e}nyi entropy rate will approach the entropy rate of a stationary, ergodic source, which is equal to the Shannon entropy rate for a classical source and the von Neumann entropy rate for a quantum source.",
author = "Berry Schoenmakers and Jilles Tjoelker and Pim Tuyls and Evgeny Verbitskiy",
note = "Relation: https://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",
year = "2007",
language = "English",
isbn = "9781424413973",
booktitle = "EPRINTS-BOOK-TITLE",
publisher = "University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",

}

RIS

TY - CHAP

T1 - Smooth Rényi Entropy of Ergodic Quantum Information Sources

AU - Schoenmakers, Berry

AU - Tjoelker, Jilles

AU - Tuyls, Pim

AU - Verbitskiy, Evgeny

N1 - Relation: https://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

PY - 2007

Y1 - 2007

N2 - We investigate the recently introduced notion of smooth Rényi entropy for the case of ergodic information sources, thereby generalizing previous work which concentrated mainly on i.i.d. information sources. We will actually consider ergodic quantum information sources, of which ergodic classical information sources are a special case. We prove that the average smooth Rényi entropy rate will approach the entropy rate of a stationary, ergodic source, which is equal to the Shannon entropy rate for a classical source and the von Neumann entropy rate for a quantum source.

AB - We investigate the recently introduced notion of smooth Rényi entropy for the case of ergodic information sources, thereby generalizing previous work which concentrated mainly on i.i.d. information sources. We will actually consider ergodic quantum information sources, of which ergodic classical information sources are a special case. We prove that the average smooth Rényi entropy rate will approach the entropy rate of a stationary, ergodic source, which is equal to the Shannon entropy rate for a classical source and the von Neumann entropy rate for a quantum source.

M3 - Chapter

SN - 9781424413973

BT - EPRINTS-BOOK-TITLE

PB - University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

ER -

ID: 14402358