New lower bounds to the output entropy of multi-mode quantum Gaussian channels

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Standard

New lower bounds to the output entropy of multi-mode quantum Gaussian channels. / De Palma, Giacomo.

In: IEEE Transactions on Information Theory, Vol. 65, No. 9, 2019, p. 5959-5968.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

De Palma, G 2019, 'New lower bounds to the output entropy of multi-mode quantum Gaussian channels', IEEE Transactions on Information Theory, vol. 65, no. 9, pp. 5959-5968. https://doi.org/10.1109/TIT.2019.2914434

APA

De Palma, G. (2019). New lower bounds to the output entropy of multi-mode quantum Gaussian channels. IEEE Transactions on Information Theory, 65(9), 5959-5968. https://doi.org/10.1109/TIT.2019.2914434

Vancouver

De Palma G. New lower bounds to the output entropy of multi-mode quantum Gaussian channels. IEEE Transactions on Information Theory. 2019;65(9):5959-5968. https://doi.org/10.1109/TIT.2019.2914434

Author

De Palma, Giacomo. / New lower bounds to the output entropy of multi-mode quantum Gaussian channels. In: IEEE Transactions on Information Theory. 2019 ; Vol. 65, No. 9. pp. 5959-5968.

Bibtex

@article{17326da7d76047de83524ec53fc1f369,
title = "New lower bounds to the output entropy of multi-mode quantum Gaussian channels",
abstract = "We prove that quantum thermal Gaussian input states minimize the output entropy of the multi-mode quantum Gaussian attenuators and amplifiers that are entanglement breaking and of the multi-mode quantum Gaussian phase contravariant channels among all the input states with an given entropy. This is the first time that this property is proven for a multi-mode channel without restrictions on the input states. A striking consequence of this result is a new lower bound on the output entropy of all the multi-mode quantum Gaussian attenuators and amplifiers in terms of the input entropy. We apply this bound to determine new upper bounds to the communication rates in two different scenarios. The first is classical communication to two receivers with the quantum degraded Gaussian broadcast channel. The second is the simultaneous classical communication, quantum communication and entanglement generation or the simultaneous public classical communication, private classical communication, and quantum key distribution with the Gaussian quantum-limited attenuator.",
keywords = "Broadcast channel, Entropic inequalities, Quantum Gaussian channels, Trade-off coding",
author = "{De Palma}, Giacomo",
year = "2019",
doi = "10.1109/TIT.2019.2914434",
language = "English",
volume = "65",
pages = "5959--5968",
journal = "IEEE Transactions on Information Theory",
issn = "0018-9448",
publisher = "Institute of Electrical and Electronics Engineers",
number = "9",

}

RIS

TY - JOUR

T1 - New lower bounds to the output entropy of multi-mode quantum Gaussian channels

AU - De Palma, Giacomo

PY - 2019

Y1 - 2019

N2 - We prove that quantum thermal Gaussian input states minimize the output entropy of the multi-mode quantum Gaussian attenuators and amplifiers that are entanglement breaking and of the multi-mode quantum Gaussian phase contravariant channels among all the input states with an given entropy. This is the first time that this property is proven for a multi-mode channel without restrictions on the input states. A striking consequence of this result is a new lower bound on the output entropy of all the multi-mode quantum Gaussian attenuators and amplifiers in terms of the input entropy. We apply this bound to determine new upper bounds to the communication rates in two different scenarios. The first is classical communication to two receivers with the quantum degraded Gaussian broadcast channel. The second is the simultaneous classical communication, quantum communication and entanglement generation or the simultaneous public classical communication, private classical communication, and quantum key distribution with the Gaussian quantum-limited attenuator.

AB - We prove that quantum thermal Gaussian input states minimize the output entropy of the multi-mode quantum Gaussian attenuators and amplifiers that are entanglement breaking and of the multi-mode quantum Gaussian phase contravariant channels among all the input states with an given entropy. This is the first time that this property is proven for a multi-mode channel without restrictions on the input states. A striking consequence of this result is a new lower bound on the output entropy of all the multi-mode quantum Gaussian attenuators and amplifiers in terms of the input entropy. We apply this bound to determine new upper bounds to the communication rates in two different scenarios. The first is classical communication to two receivers with the quantum degraded Gaussian broadcast channel. The second is the simultaneous classical communication, quantum communication and entanglement generation or the simultaneous public classical communication, private classical communication, and quantum key distribution with the Gaussian quantum-limited attenuator.

KW - Broadcast channel

KW - Entropic inequalities

KW - Quantum Gaussian channels

KW - Trade-off coding

UR - http://www.scopus.com/inward/record.url?scp=85073460781&partnerID=8YFLogxK

U2 - 10.1109/TIT.2019.2914434

DO - 10.1109/TIT.2019.2914434

M3 - Journal article

AN - SCOPUS:85073460781

VL - 65

SP - 5959

EP - 5968

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

SN - 0018-9448

IS - 9

ER -

ID: 230392084