Smooth Rényi entropy of ergodic quantum information sources

B. Schoenmakers; J. Tjoelker; P.T. Tuyls; E.A. Verbitskiy

doi:10.1109/ISIT.2007.4557235

Smooth Rényi entropy of ergodic quantum information sources

B. Schoenmakers
, J. Tjoelker
, P.T. Tuyls
, E.A. Verbitskiy

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

8 Citaten (Scopus)

4 Downloads (Pure)

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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.

Originele taal-2	Engels
Titel	Proceedings 2007 IEEE International Symposium on Information Theory (ISIT 2007) 24-29 June 2007, Nice, France
Plaats van productie	Piscataway NJ
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	256-260
ISBN van geprinte versie	978-1-4244-1397-3
DOI's	https://doi.org/10.1109/ISIT.2007.4557235
Status	Gepubliceerd - 2007
Evenement	2007 IEEE International Symposium on Information Theory, ISIT 2007 - Nice, Frankrijk Duur: 24 jun. 2007 → 29 jun. 2007

Congres

Congres	2007 IEEE International Symposium on Information Theory, ISIT 2007
Land/Regio	Frankrijk
Stad	Nice
Periode	24/06/07 → 29/06/07
Ander	ISIT 2007, Nice, France

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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 = "B. Schoenmakers and J. Tjoelker and P.T. Tuyls and E.A. Verbitskiy",

year = "2007",

doi = "10.1109/ISIT.2007.4557235",

language = "English",

isbn = "978-1-4244-1397-3",

pages = "256--260",

booktitle = "Proceedings 2007 IEEE International Symposium on Information Theory (ISIT 2007) 24-29 June 2007, Nice, France",

publisher = "Institute of Electrical and Electronics Engineers",

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note = "2007 IEEE International Symposium on Information Theory, ISIT 2007 ; Conference date: 24-06-2007 Through 29-06-2007",

}

Schoenmakers, B, Tjoelker, J, Tuyls, PT & Verbitskiy, EA 2007, Smooth Rényi entropy of ergodic quantum information sources. in Proceedings 2007 IEEE International Symposium on Information Theory (ISIT 2007) 24-29 June 2007, Nice, France. Institute of Electrical and Electronics Engineers, Piscataway NJ, blz. 256-260, 2007 IEEE International Symposium on Information Theory, ISIT 2007, Nice, Frankrijk, 24/06/07. https://doi.org/10.1109/ISIT.2007.4557235

Smooth Rényi entropy of ergodic quantum information sources. / Schoenmakers, B.; Tjoelker, J.; Tuyls, P.T. et al.
Proceedings 2007 IEEE International Symposium on Information Theory (ISIT 2007) 24-29 June 2007, Nice, France. Piscataway NJ: Institute of Electrical and Electronics Engineers, 2007. blz. 256-260.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

TY - GEN

T1 - Smooth Rényi entropy of ergodic quantum information sources

AU - Schoenmakers, B.

AU - Tjoelker, J.

AU - Tuyls, P.T.

AU - Verbitskiy, E.A.

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.

U2 - 10.1109/ISIT.2007.4557235

DO - 10.1109/ISIT.2007.4557235

M3 - Conference contribution

SN - 978-1-4244-1397-3

SP - 256

EP - 260

BT - Proceedings 2007 IEEE International Symposium on Information Theory (ISIT 2007) 24-29 June 2007, Nice, France

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway NJ

T2 - 2007 IEEE International Symposium on Information Theory, ISIT 2007

Y2 - 24 June 2007 through 29 June 2007

ER -

Smooth Rényi entropy of ergodic quantum information sources

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