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

Información del proyecto

GENIUS

Identificador del acuerdo de subvención: 792557

DOI

10.3030/792557

Proyecto finalizado el 31 Agosto 2019

Fecha de la firma de la CE 9 Marzo 2018

Fecha de inicio 1 Abril 2018

Fecha de finalización 28 Junio 2020

Financiado con arreglo a

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Coste total

€ 200 194,80

Aportación de la UE

€ 200 194,80

Coordinado por

KOBENHAVNS UNIVERSITET
Denmark

Objetivo

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.

Ámbito científico (EuroSciVoc)

• ciencias naturales › informática y ciencias de la información › internet
• ciencias naturales › ciencias físicas › física cuántica
• ciencias naturales › informática y ciencias de la información › seguridad informática › criptografía
• ciencias naturales › matemáticas › matemáticas puras › análisis matemático › análisis funcional
• ciencias naturales › matemáticas › matemáticas aplicadas › modelo matemático

Palabras clave

• quantum information theory
• quantum communication theory
• quantum key distribution
• quantum Gaussian channels
• entropic inequalities
• entropic uncertainty relations

Programa(s)

• H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions PROGRAMA PRINCIPAL
  
• H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
  

Tema(s)

• MSCA-IF-2017 - Individual Fellowships
  

Régimen de financiación

MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)

Convocatoria de propuestas

H2020-MSCA-IF-2017

Coordinador

KOBENHAVNS UNIVERSITET

• Aportación neta de la UEn: € 200 194,80
• Dirección: NORREGADE 10 ; 1165 KOBENHAVN ; Dinamarca
• Región: Danmark › Hovedstaden › Byen København
• Tipo de actividad: Higher or Secondary Education Establishments
• Coste total: € 200 194,80