Details
| Originalsprache | Englisch |
|---|---|
| Titel des Sammelwerks | 2022 IEEE International Symposium on Information Theory, ISIT 2022 |
| Herausgeber (Verlag) | Institute of Electrical and Electronics Engineers Inc. |
| Seiten | 270-275 |
| Seitenumfang | 6 |
| ISBN (elektronisch) | 9781665421591 |
| Publikationsstatus | Veröffentlicht - 2022 |
| Extern publiziert | Ja |
| Veranstaltung | 2022 IEEE International Symposium on Information Theory, ISIT 2022 - Espoo, Finnland Dauer: 26 Juni 2022 → 1 Juli 2022 |
Publikationsreihe
| Name | IEEE International Symposium on Information Theory - Proceedings |
|---|---|
| Band | 2022-June |
| ISSN (Print) | 2157-8095 |
Abstract
We consider the sequential quantum channel discrimination problem using adaptive and non-adaptive strategies. In this setting the number of uses of the underlying quantum channel is not fixed but a random variable that is either bounded in expectation or with high probability. We show that, by using adaptive strategies for the discrimination problem, both types of error probabilities decrease to zero exponentially fast and the rates are characterized by the measured relative entropy between two quantum channels. Allowing for quantum memory, we see that the optimal rates are given by the regularized channel relative entropy. We also characterize the error exponents in the discrimination problem if non-adaptive strategies are used.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Theoretische Informatik
- Informatik (insg.)
- Information systems
- Mathematik (insg.)
- Modellierung und Simulation
- Mathematik (insg.)
- Angewandte Mathematik
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2022 IEEE International Symposium on Information Theory, ISIT 2022. Institute of Electrical and Electronics Engineers Inc., 2022. S. 270-275 (IEEE International Symposium on Information Theory - Proceedings; Band 2022-June).
Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review
}
TY - GEN
T1 - Sequential Quantum Channel Discrimination
AU - Li, Yonglong
AU - Hirche, Christoph
AU - Tomamichel, Marco
N1 - Funding Information: YL is supported a National Research Foundation Fellowship (R-263-000-D02-281). MT and CH are supported by the NRF, Prime Minister’s Office, Singapore and the Ministry of Education, Singapore under the Research Centres of Excellence programme. CH has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. H2020-MSCA-IF-2020-101025848. MT is also supported in part by NUS startup grants (R-263-000-E32-133 and R-263-000-E32-731).
PY - 2022
Y1 - 2022
N2 - We consider the sequential quantum channel discrimination problem using adaptive and non-adaptive strategies. In this setting the number of uses of the underlying quantum channel is not fixed but a random variable that is either bounded in expectation or with high probability. We show that, by using adaptive strategies for the discrimination problem, both types of error probabilities decrease to zero exponentially fast and the rates are characterized by the measured relative entropy between two quantum channels. Allowing for quantum memory, we see that the optimal rates are given by the regularized channel relative entropy. We also characterize the error exponents in the discrimination problem if non-adaptive strategies are used.
AB - We consider the sequential quantum channel discrimination problem using adaptive and non-adaptive strategies. In this setting the number of uses of the underlying quantum channel is not fixed but a random variable that is either bounded in expectation or with high probability. We show that, by using adaptive strategies for the discrimination problem, both types of error probabilities decrease to zero exponentially fast and the rates are characterized by the measured relative entropy between two quantum channels. Allowing for quantum memory, we see that the optimal rates are given by the regularized channel relative entropy. We also characterize the error exponents in the discrimination problem if non-adaptive strategies are used.
UR - http://www.scopus.com/inward/record.url?scp=85136311082&partnerID=8YFLogxK
U2 - 10.1109/ISIT50566.2022.9834768
DO - 10.1109/ISIT50566.2022.9834768
M3 - Conference contribution
AN - SCOPUS:85136311082
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 270
EP - 275
BT - 2022 IEEE International Symposium on Information Theory, ISIT 2022
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2022 IEEE International Symposium on Information Theory, ISIT 2022
Y2 - 26 June 2022 through 1 July 2022
ER -