The entropy power inequality with quantum conditioning

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Standard

The entropy power inequality with quantum conditioning. / de Palma, Giacomo.

I: Journal of Physics A: Mathematical and Theoretical, Bind 52, Nr. 8, 08LT03, 2019.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

de Palma, G 2019, 'The entropy power inequality with quantum conditioning', Journal of Physics A: Mathematical and Theoretical, bind 52, nr. 8, 08LT03. https://doi.org/10.1088/1751-8121/aafff4

APA

de Palma, G. (2019). The entropy power inequality with quantum conditioning. Journal of Physics A: Mathematical and Theoretical, 52(8), [08LT03]. https://doi.org/10.1088/1751-8121/aafff4

Vancouver

de Palma G. The entropy power inequality with quantum conditioning. Journal of Physics A: Mathematical and Theoretical. 2019;52(8). 08LT03. https://doi.org/10.1088/1751-8121/aafff4

Author

de Palma, Giacomo. / The entropy power inequality with quantum conditioning. I: Journal of Physics A: Mathematical and Theoretical. 2019 ; Bind 52, Nr. 8.

Bibtex

@article{39350d27c9fb473ba929c3d846e51a0b,
title = "The entropy power inequality with quantum conditioning",
abstract = "The conditional entropy power inequality is a fundamental inequality in information theory, stating that the conditional entropy of the sum of two conditionally independent vector-valued random variables each with an assigned conditional entropy is minimum when the random variables are Gaussian. We prove the conditional entropy power inequality in the scenario where the conditioning system is quantum. The proof is based on the heat semigroup and on a generalization of the Stam inequality in the presence of quantum conditioning. The entropy power inequality with quantum conditioning will be a key tool of quantum information, with applications in distributed source coding protocols with the assistance of quantum entanglement.",
author = "{de Palma}, Giacomo",
year = "2019",
doi = "10.1088/1751-8121/aafff4",
language = "English",
volume = "52",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "Institute of Physics Publishing Ltd",
number = "8",

}

RIS

TY - JOUR

T1 - The entropy power inequality with quantum conditioning

AU - de Palma, Giacomo

PY - 2019

Y1 - 2019

N2 - The conditional entropy power inequality is a fundamental inequality in information theory, stating that the conditional entropy of the sum of two conditionally independent vector-valued random variables each with an assigned conditional entropy is minimum when the random variables are Gaussian. We prove the conditional entropy power inequality in the scenario where the conditioning system is quantum. The proof is based on the heat semigroup and on a generalization of the Stam inequality in the presence of quantum conditioning. The entropy power inequality with quantum conditioning will be a key tool of quantum information, with applications in distributed source coding protocols with the assistance of quantum entanglement.

AB - The conditional entropy power inequality is a fundamental inequality in information theory, stating that the conditional entropy of the sum of two conditionally independent vector-valued random variables each with an assigned conditional entropy is minimum when the random variables are Gaussian. We prove the conditional entropy power inequality in the scenario where the conditioning system is quantum. The proof is based on the heat semigroup and on a generalization of the Stam inequality in the presence of quantum conditioning. The entropy power inequality with quantum conditioning will be a key tool of quantum information, with applications in distributed source coding protocols with the assistance of quantum entanglement.

U2 - 10.1088/1751-8121/aafff4

DO - 10.1088/1751-8121/aafff4

M3 - Journal article

VL - 52

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 8

M1 - 08LT03

ER -

ID: 213035308