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GENIUS

Gaussian entropic inequalities and uncertainty relations for communication and secure quantum key distribution

Total Cost €

EC-Contrib. €

Partnership

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GENIUS project word cloud

Explore the words cloud of the GENIUS project. It provides you a very rough idea of what is the project "GENIUS" about.

secondly 1g secure communications entropy communication information allowed perfectly internet functional entropic quantifies sensitive perfect enormous independent cryptography signals firstly christandl gaussian relation maximum insights generation solovej electromagnetic propagation rates security prof limit fundamental forthcoming group amount quantum mechanics model combined genius researcher channels mathematical qkd proving protocol pervading technologies rate myself sent realization flagship stimulate supervisor heterodyne lives core guaranteed ideal environment content theory first investing co multidisciplinary society imposes establishing modern prove inequalities fulfill qmath

Project "GENIUS" data sheet

The following table provides information about the project.

Coordinator	KOBENHAVNS UNIVERSITET Organization address address: NORREGADE 10 city: KOBENHAVN postcode: 1165 website: www.ku.dk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	Denmark [DK]
Total cost	200˙194 €
EC max contribution	200˙194 € (100%)
Programme	1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
Code Call	H2020-MSCA-IF-2017
Funding Scheme	MSCA-IF-EF-ST
Starting year	2018
Duration (year-month-day)	from 2018-04-01 to 2020-06-28

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	KOBENHAVNS UNIVERSITET KOBENHAVNS UNIVERSITET Organization address address: NORREGADE 10 city: KOBENHAVN postcode: 1165 website: www.ku.dk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	DK (KOBENHAVN)	coordinator	200˙194.00

Map

Project objective

Information and communication technologies are essential to modern society as the internet is pervading all aspects of our lives. Quantum mechanics imposes a fundamental limit to the communication rates. Determining this limit is one of the two challenges addressed by GENIUS. Given the amount of sensitive information sent through the internet, secure communications are essential to our society. To fulfill this need, the EU is investing in quantum key distribution (QKD) with the 1G€ Quantum Technology Flagship. The other challenge addressed by GENIUS is determining the maximum rate for secure communication that can be achieved by the forthcoming generation of QKD devices and proving their perfect security. To address the above challenges, I will firstly apply methods from functional analysis to prove new fundamental entropic inequalities for quantum Gaussian channels. Quantum Gaussian channels provide a mathematical model for the propagation of electromagnetic signals. Entropy is the core of information theory and quantifies the information content of a system. These inequalities will determine the maximum rates allowed by quantum mechanics for communication and QKD. Secondly, I aim to propose and prove a new fundamental entropic uncertainty relation for the heterodyne measurement. This uncertainty relation will prove the perfect security of the most promising QKD protocol. These new insights will have an enormous impact on both quantum communication and quantum cryptography and will stimulate what will be the first realization of quantum devices capable of communication and guaranteed perfectly secure QKD at the maximum possible rates. The experience of my supervisor Prof. Solovej in functional analysis and entropic inequalities combined with the experience of my co-supervisor Prof. Christandl in quantum cryptography make the QMATH group the ideal environment for carrying out this project and establishing myself as a leading independent multidisciplinary researcher.

Publications

List of publications.
year	authors and title	journal	last update
2019	Giacomo De Palma The squashed entanglement of the noiseless quantum Gaussian attenuator and amplifier published pages: , ISSN: 1089-7658, DOI:	submitted to Journal of Mathematical Physics	2020-01-16
2019	Giacomo De Palma The entropy power inequality with quantum conditioning published pages: 08LT03, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aafff4	Journal of Physics A: Mathematical and Theoretical 52/8	2020-01-16
2018	Giacomo De Palma, Dario Trevisan, Vittorio Giovannetti, Luigi Ambrosio Gaussian optimizers for entropic inequalities in quantum information published pages: 81101, ISSN: 0022-2488, DOI: 10.1063/1.5038665	Journal of Mathematical Physics 59/8	2020-01-16
2018	Giacomo De Palma, Dario Trevisan, Vittorio Giovannetti The One-Mode Quantum-Limited Gaussian Attenuator and Amplifier Have GaussianMaximizers published pages: 2919-2953, ISSN: 1424-0637, DOI: 10.1007/s00023-018-0703-5	Annales Henri PoincarÃ© 19/10	2020-01-16
2018	Giacomo De Palma, Stefan Huber The conditional entropy power inequality for quantum additive noise channels published pages: 122201, ISSN: 0022-2488, DOI: 10.1063/1.5027495	Journal of Mathematical Physics 59/12	2020-01-16
2018	Giacomo De Palma, Johannes Borregaard Minimum error probability of quantum illumination published pages: 12101, ISSN: 2469-9934, DOI: 10.1103/physreva.98.012101	Physical Review A 98/1	2020-01-16
2019	Giacomo De Palma New Lower Bounds to the Output Entropy of Multi-Mode Quantum Gaussian Channels published pages: 5959-5968, ISSN: 0018-9448, DOI: 10.1109/tit.2019.2914434	IEEE Transactions on Information Theory 65/9	2020-01-16

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